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Recent Questions - Cryptography Stack Exchange most recent 30 from crypto.stackexchange.com 2016-07-29T21:50:31Z http://crypto.stackexchange.com/feeds http://www.creativecommons.org/licenses/by-sa/3.0/rdf http://crypto.stackexchange.com/q/38053 0 What should be used as a source for entropy? user2363993 http://crypto.stackexchange.com/users/27764 2016-07-29T20:25:03Z 2016-07-29T20:25:03Z
I have hardware based RNG which consists of TRNG and PRNG. TRNG is giving out 512 bit number which is being used as seed for PRNG. RNG is generating 160 bit random number using PRNG and reseeding is done after 2^20 numbers. I want to use hardware based RNG as entropy source. What should be used as source of entropy i.e. output of TRNG or PRNG ?

Any help/reply is appreciated please.

Thanks & Regards,
 http://crypto.stackexchange.com/q/38050 3 Can we exchange the permutation of a sponge construction? e-sushi http://crypto.stackexchange.com/users/12164 2016-07-29T18:49:10Z 2016-07-29T20:51:27Z
Part of a sponge construction (like SHA3 uses) is a fixed permutation $p$; which is clearly not one-way.

Could we, theoretically, exchange the permutation $p$ with any other permutation? What basic characteristics should such a permutation have – or would, for example, a simple LFSR already represent a valid replacement, assuming it spans the whole bit-range ($r+c$)?
 http://crypto.stackexchange.com/q/38048 1 How come "short" (eg 80 bit) MACs are regarded to be safe? userkir http://crypto.stackexchange.com/users/34633 2016-07-29T16:32:58Z 2016-07-29T19:22:08Z
I've got two questions:

Why are much shorter output lengths of, e.g 80 bits, sufficient for MACs ?

Assume a message $x$ that is sent in clear together with its MAC over the channel: $(x,MAC_k(x))$. What does Oscar have to do to attack this system?

I think I can answer the first question: it's because of the Birthday Paradox But for the second, I don´t know how to start. It's not given how the MAC is calculated. I could do a secret pre- or suffix attack ?
 http://crypto.stackexchange.com/q/38047 0 Compression-Ratio Side Channel Austin Wile http://crypto.stackexchange.com/users/36904 2016-07-29T15:45:45Z 2016-07-29T17:38:33Z
I'm working through the matasano crypto challenges, and I'm onto set 7, where they describe an attack on encryption/compression oracles. I am having trouble understanding the attacks, more so the logic behind the attack and am having difficulty finding any papers on it. If anyone knows about this type of attack and how it works, it would be much appreciated if someone could explain it.

For reference, here is the link to the challenge: http://www.cryptopals.com/sets/7/challenges/51

Compression Ratio Side-Channel Attacks

Internet traffic is often compressed to save bandwidth. Until recently, this included HTTPS headers, and it still includes the contents of responses.

Why does that matter?

Well, if you're an attacker with:

Partial plaintext knowledge and

Partial plaintext control and

Access to a compression oracle

You've got a pretty good chance to recover any additional unknown plaintext.

What's a compression oracle? You give it some input and it tells you how well the full message compresses, i.e. the length of the resultant output.

This is somewhat similar to the timing attacks we did way back in set 4 in that we're taking advantage of incidental side channels rather than attacking the cryptographic mechanisms themselves.

Scenario: you are running a MITM attack with an eye towards stealing secure session cookies. You've injected malicious content allowing you to spawn arbitrary requests and observe them in flight. (The particulars aren't terribly important, just roll with it.)

So! Write this oracle:

oracle(P) -> length(encrypt(compress(format_request(P))))

Format the request like this:

POST / HTTP/1.1 Host: hapless.com Cookie: sessionid=TmV2ZXIgcmV2ZWFsIHRoZSBXdS1UYW5nIFNlY3JldCE= Content-Length: ((len(P))) ((P))

(Pretend you can't see that session id. You're the attacker.)

Compress using zlib or whatever.

Encryption... is actually kind of irrelevant for our purposes, but be a sport. Just use some stream cipher. Dealer's choice. Random key/IV on every call to the oracle.

And then just return the length in bytes.

Now, the idea here is to leak information using the compression library. A payload of "sessionid=T" should compress just a little bit better than, say, "sessionid=S".

There is one complicating factor. The DEFLATE algorithm operates in terms of individual bits, but the final message length will be in bytes. Even if you do find a better compression, the difference may not cross a byte boundary. So that's a problem.

You may also get some incidental false positives.

But don't worry! I have full confidence in you.

Use the compression oracle to recover the session id.

I'll wait.

Got it? Great.

Now swap out your stream cipher for CBC and do it again.

 http://crypto.stackexchange.com/q/38044 1 Does having a bunch of plaintext/ciphertext pairs help you break a ciphertext with unknown plaintext? andreo http://crypto.stackexchange.com/users/31521 2016-07-29T11:53:29Z 2016-07-29T19:30:29Z
Let say we have $N$ ciphertexts and each of them looks like this:

2iob3gRLvabM0QnMtgtMG5y4kCm=2xmLkasBUasLkQkjyQtQ3NFhU5UNkQ95U1nmk5UltxwZt1DltaojkQuHkxyXQI7=GYzYYf7t25ymQd7wtHJ52xWM3NJR3QTLUxmI3IZMU54NkitMGHz=2xmLvQnVtQUBk5Wa

assume it's encrypted URL string and we know output (actual URL) of each $N$ ciphertexts. In addition we know that the key is $m$ digits. So my question is how to assess complexity of breaking the $N+1$ ciphertext?
 http://crypto.stackexchange.com/q/38043 1 HMAC vs RSA speed Almedin http://crypto.stackexchange.com/users/37212 2016-07-29T11:52:32Z 2016-07-29T13:13:53Z
To my understanding one of the main advantages HMAC has over RSA is that HMAC is faster to compute.

My question is: How much faster? Say you are signing a SHA-1 hash function 1000 times a day. How much faster will HMAC be over RSA (2048 bit key)?
 http://crypto.stackexchange.com/q/38040 -1 Signing a SHA-1 256 hash [on hold] Dino http://crypto.stackexchange.com/users/37211 2016-07-29T11:37:20Z 2016-07-29T13:05:08Z
What are things to consider when choosing between RSA and HMAC for signing a SHA-1 256 bit hash string multiple times. What are the advantages/disadvantages to RSA and HMAC in this case?
 http://crypto.stackexchange.com/q/38039 3 PRG - understanding the definition wjk2a1 http://crypto.stackexchange.com/users/32464 2016-07-29T11:25:56Z 2016-07-29T11:45:48Z
Say $G$ is a $PRG$ that expands its input by a single bit, so we define:
 $$G'(x_1||x_2)=G(x_1)||G(x_2)$$ The exercise states to prove that $G'$ is also a PRG.

 Now here is my confusion. $PRGs$ are defined for random seeds as input.
But as an adversary I know $G$. So for $x\in\{0,1\}^*$ I could always input $$x||x$$ And now, I can check if both halves of $G'(x||x)=G(x)||G(x)$ are equal and know that this isn't random.

 In the solution they assume that $x_1,x_2$ must be randomly selected as well. But then what is the point of an adversary?

 http://crypto.stackexchange.com/q/38038 0 Comparing computation complexity of generic protocol with operation specific one user153465 http://crypto.stackexchange.com/users/13740 2016-07-29T10:26:13Z 2016-07-29T10:26:13Z
Assume we have a cryptographic protocol for secure multi-party computation that supports generic computation.

Let assume the "protocol 1" uses fully homomorphic encryption (FHE) and the overall computation complexity of the protocol is $O(c)$, where $c$ is input size (i.e. number of inputs). So it involves $O(c)$ homomorphic operations.

On the other, we have " protocol 2" designed for specific operation e.g. private set intersection (PSI). Its computation complexity is $O(c)$, but it does not use any FHE.

Question 1: If we use "protocol 1" for PSI, would the computation complexity still be $O(c)$ or it may increase?

Question 2: In general, how do we compare the complexity of the two protocols?
 http://crypto.stackexchange.com/q/38037 0 Random Bytes in TLS Handshake Minaj http://crypto.stackexchange.com/users/29972 2016-07-29T02:14:55Z 2016-07-29T06:45:32Z
During the TLS handshake, there are random bytes sent from the server to the client and random bytes sent from the client to the server.

Since these bytes are sent in clear text, what is the relevance of them being random? I thought randomness was mostly about lowering the likelihood that these numbers could be guessed. If they are passed around in clear text; whats the importance of the randomness?

Also, what exactly are these random bytes used for?
 http://crypto.stackexchange.com/q/38036 -2 What do you think of Wire.com crypto? [on hold] user37200 http://crypto.stackexchange.com/users/37200 2016-07-28T23:14:31Z 2016-07-28T23:14:31Z
I'm curious to know how the crypto community feels about Wire? And how it might compare to Signal crypto!

https://wire.com/

https://github.com/wireapp
 http://crypto.stackexchange.com/q/38032 1 Algorithms to test vs. generate primes Ben http://crypto.stackexchange.com/users/37197 2016-07-28T20:39:41Z 2016-07-29T05:01:37Z
What would be the value in having a true prime number generator algorithm instead of a prime number test algorithm? Also, if such a thing existed, what would be the impact on not only cryptography?
 http://crypto.stackexchange.com/q/38029 3 Bitcoin multi-sign and the amount of storage it required [migrated] user36877 http://crypto.stackexchange.com/users/36877 2016-07-28T20:15:09Z 2016-07-28T20:15:09Z
I read this paper (Threshold-optimal DSA/ECDSA signatures and an application to Bitcoin wallet security), the authors said that in the optimal threshold signature that they propose players requires just a constant amount of storage, while the previous threshold schemes were not efficient because the number of rounds increase according to the number of players; therefore, also the amount of storage that each players need increased accordingly.

Now, I am wondering about the amount of storage that each players needs when they use multi-signature scheme? is it constant or increased when the number of player increased ?
 http://crypto.stackexchange.com/q/38024 2 Why k-lists generalized birthday problem when $k=2$ is classical birthday problem? catpnosis http://crypto.stackexchange.com/users/4158 2016-07-28T18:31:44Z 2016-07-29T06:58:44Z
David Wagner in his article A Generalized Birthday Problem in CRYPTO 2002 says that in k-dimensional (also k-lists) generalization of birthday problem (GBP), when $k=2$ "this is just the extremely well-known birthday problem." Why is that so? As I understand it, in classical birthday problem we search for collisions in one list $L$, where $x_1$ and $x_2$ is supposed to be $\in L$), but, in k-lists GBP we have k number of lists, when $k=2$ it's $L_1, L_2$, we find $x_1 \in L_1$ and $x_2 \in L_2$ such that $x_1 \oplus x_2 = 0$.

So, how does k-lists GBP converges to classical birthday problem when $k=2$? Or I'm missing something?
 http://crypto.stackexchange.com/q/38022 0 ElGamal recovering messages Moar321 http://crypto.stackexchange.com/users/37187 2016-07-28T17:16:31Z 2016-07-28T19:44:45Z
If you use the same ephemeral key in Elgamal, someone can read the future messages. I have two ciphertexts $y_1=62$ and $y_2=4$. The difference between two plaintexts is $x_1-x_2=138$

how do I get $x_1$ and $x_2$? Modulo is $157$
 http://crypto.stackexchange.com/q/38020 0 what is multi authority based weighted attribute based encryption ?? is this the current technique deployed in cloud? [on hold] subha http://crypto.stackexchange.com/users/37183 2016-07-28T14:36:47Z 2016-07-28T14:36:47Z
As i'm interested in cloud computing domain, i have just got to see that MA-WABE is used as a cryptographic technique in cloud. can anyone brief about this technique?.if any algorithms present which language is preferable to develop the code?
 http://crypto.stackexchange.com/q/38019 1 Weakly Sublinear Compact FE from Succinct FE and XiO Linfeng Zhou http://crypto.stackexchange.com/users/17267 2016-07-28T14:05:38Z 2016-07-29T06:50:32Z
I'm confused about a problem these days and I decided to seek an answer here. The question is about the section 4.1 of the paper LPST16. Let me recall the weakly sublinear compact FE scheme $\textrm{FE}$ from succinct functional encryption scheme $\textrm{sFE}$ and XiO.

$(msk, pk) \gets \textrm{FE.Setup}(1^\lambda)$: it runs $(msk,pk) \gets \textrm{sFE.Setup}(1^\lambda)$

$\textrm{ct} \gets \textrm{FE.Enc}(pk, m)$: it samples a puncturable PRF key and outputs $\textrm{ct} \gets \textrm{XiO}(1^\lambda, G_{pk,K,m})$ where $G_{pk,K,m}$ is a circuit with input length $n = \log s$ and $s$ is the max output length of the circuit $C$, and circuit $G_{pk,K,m}$ works as follows $$G_{pk,K,m}(i) = \textrm{sFE.Enc}(pk,(m,i); \textrm{PRF.Eval}(K,i))$$

$sk_C \gets \textrm{FE.KeyGen}(msk; C)$ outputs $\textrm{sFE.KeyGen}(msk,C')$ where $C'$ on input $(m,i)$ outputs the $i$th bit of $C(m)$

$y \gets \textrm{FE.Dec}(sk_C, \textrm{ct})$: $\textrm{ct}_i \gets \textrm{ct}(i)$ and $y_i \gets \textrm{sFE.Dec}(sk_C, \textrm{ct}_i)$ for each $i$ and outputs $y_1,\cdots,y_{2^n}$

Now I have two questions:

The paper speficies the circuit size of $G_{pk,K,m}$ is bounded by $poly(\lambda, |m|, \log s)$, how can we get this? to the best of my knowledge, I thinks the size of a circuit should be only related to the elements that are hardwired, is that correct? If this is correct, why the size is also polylog in $s$? More broadly, I also want to know how to calculate a circuit size.

Assume that the circuit size is also related to $s$ and $\log s$ is because of the puncturing, the second question is from my imagination. What if the circuit $G_{pk,K,m}$ outputs two encryptions, where one is over $(m,i)$ and another one is over $m$, and what is the circuit size of $G_{pk,K,m}$ now?

 http://crypto.stackexchange.com/q/38016 0 How to show that any 2-round key-exchange protocol satisfying a given definition can be converted into a public-key encryption scheme? W. Allen http://crypto.stackexchange.com/users/37181 2016-07-28T13:28:46Z 2016-07-28T18:16:09Z
How to show that any 2-round key-exchange protocol satisfying a given definition can be converted into a public-key encryption scheme that is CPA-secure?

The given definition is as followed:

Actually this is an exercise of the book "Introduction to modern cryptography", I can figure out how to prove it.

Can someone help me? Thanks a lot!
 http://crypto.stackexchange.com/q/38014 0 Message Expansion / Encryption Blowup Factor / Ciphertext Expansion of ECC Leafar http://crypto.stackexchange.com/users/34354 2016-07-28T13:10:24Z 2016-07-28T14:58:19Z
In order to complete the following table with asymptotic times and message expansions,

$\quad \quad \quad \quad \quad \quad \quad \quad \quad$ RSA $\quad$ McEliece $\quad$ ECC

Encryption Speed $\quad \quad \; \; N^2 \quad \quad N^2 \quad \quad \quad N^3$

Decryption Speed $\quad \quad \; \; N^3 \quad \quad N^2 \quad \quad \quad N^3$

Public Key Size $\quad \quad \quad \;\; N \quad \quad \; \ N^2 \quad \quad \quad N$

Private Key Size $\quad \quad \quad \;\; N \quad \quad \; \ N^2 \quad \quad \quad N$

Message Expansion $\quad \; 1-1 \quad \; 2-1 \quad \quad \quad ?$

I need to find the message expansion of ECC cryptosystem, but I don't find a clear answer anywhere.

Can someone give me and explain the missing value in the table?

Thanks in advance.
 http://crypto.stackexchange.com/q/38013 2 When, where, and how to use HMAC Aurora http://crypto.stackexchange.com/users/33263 2016-07-28T12:55:35Z 2016-07-28T20:18:07Z
This question may seem like a duplicate of some others, namely this one, but even though that question asked when and how to use HMAC, the answers only addressed what HMAC was and why/how it worked.

So, my questions are:

When is it appropriate to use HMAC? If I'm encrypting files on my local computer? If I'm encrypting and syncing files to a server? If I'm sending messages to Bob? When is it not needed?

Simply, what is the recommended algorithm for generating a HMAC? I've seen the Wikipedia page, which does something strange with padding, and have read about HMACs in 'Practical Cryptography', where it says a and b are "specified constants" without going into detail about the constraints on these constants.

The book previously used h(h(m)||m) to prevent length extension attacks, then later defined a different algorithm for HMACs. Why was the former not appropriate for HMAC?

 http://crypto.stackexchange.com/q/38006 2 Security model scalar multiplication in NaCl timothymctim http://crypto.stackexchange.com/users/13842 2016-07-28T08:32:09Z 2016-07-28T17:23:45Z
I'm having trouble understanding what the "security model" for "scalar multiplication" in NaCl is.

Security model

crypto_scalarmult is designed to be strong as a component of various well-known "hashed Diffie–Hellman" applications. In particular, it is designed to make the "computational Diffie–Hellman" problem (CDH) difficult with respect to the standard base.

crypto_scalarmult is also designed to make CDH difficult with respect to other nontrivial bases. In particular, if a represented group element has small order, then it is annihilated by all represented scalars. This feature allows protocols to avoid validating membership in the subgroup generated by the standard base.

NaCl does not make any promises regarding the "decisional Diffie–Hellman" problem (DDH), the "static Diffie–Hellman" problem (SDH), etc. Users are responsible for hashing group elements.

Since "crypto_scalarmult is the function crypto_scalarmult_curve25519", does this mean that Curve25519 does not provide any guarantees for the DDH problem to be hard?

If so, how can one—as suggested—hash group elements to achieve this? E.g., how does one implement elliptic curve El-Gamal in a semantically secure way using this implementation, if possible at all?
 http://crypto.stackexchange.com/q/37999 2 FIPS 186-4 seems to have an excessively complex q generation neubert http://crypto.stackexchange.com/users/4520 2016-07-28T05:32:30Z 2016-07-28T13:00:18Z
So in DSA you have two primes - p and q. q is N bits long (let's assume 160 bits) and p is L bits long (let's assume 1024 bits).

Here's what FIPS 186-4 says about generating the q parameter for DSA:

Get an arbitrary sequence of seedlen bits as the domain_parameter_seed.

U = Hash (domain_parameter_seed) mod 2$^{N-1}$.

q = 2$^{N-1}$ + U + 1 – ( U mod 2).

Test whether or not q is prime as specified in Appendix C.3.

If q is not a prime, then go to step 5.

outlen is the length of the Hash output, in bits, and seedlen is any number > N.

What I'm wondering is... why not just replace steps 5, 6 and 7 with "get an arbitrary sequence of N bits as the q" and "make the least significant bit 1"?

2$^{N-1}$ gives you the lower bound on an N-sized variable. U adds the trailing N bytes of Hash(domain_parameter_seed) to 2$^{N-1}$ and "1 - (U mod 2)" makes the final number odd. So it seems like a poor-man's randomPrime(n-bits) function call.
 http://crypto.stackexchange.com/q/37998 0 The length of the shortest vector in Lattice zhigang chen http://crypto.stackexchange.com/users/29491 2016-07-28T04:05:46Z 2016-07-28T13:39:24Z
In Micciancio and Regev's paper "Lattice-based Cryptography",the length of the shortest vector is at least $\min\{q, 2^{2\cdot\sqrt{(n\cdot \log{q}\cdot\log{\delta}})}\}$ . I want to ask why the paper chose the latter as the length of the shortest vector rather than $q$ when considering concert parameters. In addition, whether the $q$ is normally more than $2^{2\cdot\sqrt{(n\cdot \log{q}\cdot\log{\delta}})}$?
 http://crypto.stackexchange.com/q/37996 -1 Store and share data on intranet website Max13 http://crypto.stackexchange.com/users/10855 2016-07-28T00:03:38Z 2016-07-28T21:19:37Z
I'm developing an intranet for a company where admins are sharing a huge excel file containing all the necessary password, on the common TSE. I've managed making them encrypt it with a common password at least.

I would like to make a "password sharing" system on the intranet, allowing them to store passwords and data encrypted, shareable between them, but obviously, unreadable if it hasn't been shared (even for the db admin).

So, if they used PKI or even knew about it, it would be great. So I'm looking for a way to store encrypted data, which would be decrypted on the fly when a logged in user wants it, but only using common "login" practices if possible (user, password, web browser).

Of course, the server shouldn't be able to decrypt the data alone, it needs something from the logged in user (for instance, deriving the user's password as the users key), so "sharing" a data would only be possible when the data is inserted. For that, I'm can't see how to achieve it without a public part and a private part, which I'm avoiding because they won't take care and will loose them.

It's not the best, but one of my ideas was to create a key-pair (under the hood) for each user stored encrypted using a password derived from the user's credentials. The key-pair and derived password would be stored in expiring cookie (when browser/tab is closed) (decryption will be client side) or more secure, in-memory session files (server side).

What do you think folks ?
 http://crypto.stackexchange.com/q/29708 2 How does a perfect hash function work? Last http://crypto.stackexchange.com/users/28218 2015-10-08T17:34:09Z 2016-07-29T07:17:43Z
According to wikipedia, a perfect hash function is a hash function that uses algorithms that has a certain random aspect to their logic. It is suppose to be collision-free.

However due to the pigeon hole principle where given a set of all possible preimages M & a set S where S is the set of all possible hash values resulting from H(M) = (S) & set M is bigger than set S. How does a perfect hash function have collision-resistant in this case?

Based on the answer given by poncho the pre-images are known beforehand & thus the hash function is structured in such a way that there exist a unique hash value for each message. However my confusion exist is that given a message space where each message is for example at least (4 bits long = 16 possibilities) & the hash value is return as (2 bits long = 4 possibilities) value. How can this still possibly be collision-resistant?

Summary, in a perfect hash function:

Must the bit length of the hash value be long enough to cover N number of messages?

Does it not simply make a perfect hash function as a specified lookup table for a set of predetermined message?

Another side question is in the wikipedia page there is a mention of a minimal perfect hash function. Is a hash function that distributes the hash value uniformly across S (Where S is the set containing all possible Hash value resulting from message space M)
 http://crypto.stackexchange.com/q/29433 3 RSA: special parameters construction Jeremy http://crypto.stackexchange.com/users/27971 2015-09-27T17:29:43Z 2016-07-28T16:28:04Z
I have to show that the following construction of $q$ allows to factorize $N$ :

$p \in \mathbb{P}$, the set of primes

$q \gets p \cdot \left((p - 1)^{-1} \bmod e\right) \bmod e$

$k=1$

while $q \not \in \mathbb{P}$:

$q \gets q + k \cdot e$

$k \gets k + 1$

end while

I tried to analyse $N \bmod e$ and transform the expression but without success.

If some can give me some hints

Edit:

$p$ is 512 bits size, $e$ is 504 bits size.

Let's $\alpha = (p - 1)^{-1} \bmod e$ then $N = p \cdot (\alpha + 1 + k \cdot e)$

Finding $q$ is equivalent to finding $\alpha$.
 http://crypto.stackexchange.com/q/19558 4 Bit level permutation Anna http://crypto.stackexchange.com/users/16697 2014-10-09T09:55:13Z 2016-07-29T07:03:16Z
Could anyone explain how secure is bit level permutation? What is the most serious threat against the security of this kind of cipher?
 http://crypto.stackexchange.com/q/18963 8 Should you change salt when changing password? Bob Brown http://crypto.stackexchange.com/users/16581 2014-09-04T09:11:24Z 2016-07-29T07:21:21Z
Assume a password storage scheme using a computationally-expensive hash algorithm and a CSPRNG salt. User ID, salt, and hash value are stored in a table; if the table is compromised, all three values are available to an adversary.

Is there any value in computing a new salt when a user changes his password?

(I think this question only makes sense if the adversary has before and after copies of the password table, but I could be very wrong about that.)
 http://crypto.stackexchange.com/q/15839 5 Tiger Tree Hash vs generic Merkle Tree toriningen http://crypto.stackexchange.com/users/4448 2014-04-26T21:10:37Z 2016-07-29T07:49:13Z
Is there any advantage of using Tiger Tree Hash over any other hash function organized as the Merkle tree? Are there maybe any properties of TIGER that, say, SHA-2 or BLAKE in Merkle tree do not have?

And in general, is there any point of chosing Tiger Tree Hash over anything else in modern applications for file sharing purposes?
 http://crypto.stackexchange.com/q/71 48 How can I generate large prime numbers for RSA? Lukman http://crypto.stackexchange.com/users/136 2011-07-13T10:10:49Z 2016-07-28T20:31:02Z
What is the currently industry-standard algorithm used to generate large prime numbers to be used in RSA encryption?

I'm aware that I can find any number of articles on the Internet that explain how the RSA algorithm works to encrypt and decrypt messages, but I can't seem to find any article that explains the algorithm used to generate the p and q large and distinct prime numbers that are used in that algorithm.


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A Big Boy Did it and Ran Away
Christopher Brookmyre
Price £7.99
£9.99 saving £2.00 (20%)
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As soon as this book is back in stock we will send you an email.Compare book price We'd love you to buy your books from Lovereading - especially if we helped you to choose them! But as our mantra is guidance, and that includes guidance on price, please do use our 'Compare Book Price' service to discover if the best value deal is from Lovereading or another specialist bookstore.
A Big Boy Did it and Ran Away by Christopher Brookmyre
ReviewsA bit like a literary computer game, this novel has plenty of verve and dash, with Brookmyre more in your face than a smack from an outraged lover whose bottom you've pinched. IRISH TIMES Brookmyre offers a brilliantly scathing portrayal of humanity... Sharply satirical and poignantly funny, this is a gripping and highly entertaining read. TIME OUT Hilarous, exhilerating entertainment. GLASGOW HERALD He really can write, with an exhilerating linguistic fluency and keenly subversive intelligence. SCOTLAND ON SUNDAY
About the Author
Book Info
Publication date3rd July 2003
AuthorChristopher Brookmyre
More books by Christopher Brookmyre
Author 'Like for Like'
Author's Websitewww.brookmyre.co.uk/
PublisherAbacus an imprint of Little, Brown Book Group
512 pages
CategoriesCrime & mystery
Why I love @lovereadinguk? It's in the name - as dedicated lovers of reading, they are perfect matchmakers for helping me find my next read!Catherine Jenkins
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text:
A light walk in the summer sunshine through Stanley Park.
Meet at the bus loop at 1PM, we'll do a 6.5 km loop through the park guided by this map: http://www.vancouvertrails.com/trails/stanley-park/
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text:
Beautiful Creatureby Juliana Hatfield
Juliana Hatfield's baby must have done a bad, bad thing. On the simultaneously released BEAUTIFUL CREATURE and TOTAL SYSTEM FAILURE (credited to Juliana's Pony), Hatfield delineates the desperation, frustration, and anger that love produces. BEAUTIFUL CREATURE is the more polished and accessible of the sister albums and one of Hatfield's best since her days with the recently reconvened Blake Babies. It highlights her singer-songwriter side, with echoes of Jill Sobule (who has a similarly girlish voice) and Aimee Mann (who writes with similar precision about emotional turmoil). For this album, Hatfield enlists a variety of sidemen (including singer-songwriter David Garza for lead guitar and coproduction on several tracks) and producers (including Scott Litt), although Hatfield's skilled guitar work, often acoustic, anchors each track. Even when there's an underlying bitterness to the lyrics, BEAUTIFUL CREATURE is a sweetly melodic and catchy album. "I don't want to pine my days away but I miss your body," she sings to the lover whom she otherwise can't forgive -- or forget -- in "Don't Rush Me." The seemingly soothing "Choose Drugs" ends with a failed ultimatum to an addicted lover: "I say it's me or drugs/You choose drugs," and the effect is heartrending. Radio-friendly hooks and ringing choruses slyly mask the heartbreak in "Somebody Is Waiting for Me" and "Cry in the Dark." The tension between the seductive and sophisticated music and the forthright and often unsettling lyrics make BEAUTIFUL CREATURE a beautiful creation.
Editorial Reviews
Product Details
- Release Date:
- 05/16/2000
- Label:
- Zoe Records
- 0601143101120
- catalogNumber:
- 431011
- Daniel
- Close Your Eyes
- Choose Drugs
- Cool Rock Boy
- Don't Rush Me
- Slow Motion
- Might Be in Love
- Somebody's Waiting for Me
- Until Tomorrow
- The Easy Way Out
- Hotels
- When You Loved Me
- Cry in the Dark
- Every Breath You Take
- When You Loved Me
Album Credits
Performance CreditsJuliana Hatfield Primary Artist,Bass,Guitar,Harmonica,Vocals
Mike Hale Percussion,Drums
Andy Kravitz Drums,Keyboards
Scott Litt Drums
Wally Gagel Bass,Guitar,Drums,Keyboards,Recorder
Jim Boggia Guitar,Background Vocals
Davíd Garza Bass,Guitar,Piano,Drums
John Thomasson Bass
Jason Sutter Drums
Duke Roth Cello
Michael Hale Percussion,Drums
Brian Brown Electric Piano
Damon Richardson Drums
Todd Philips Drums
Technical CreditsJuliana Hatfield Producer
Andy Kravitz Producer,Engineer
Scott Litt Producer,Engineer
Wally Gagel Programming,Producer,Engineer
Matthew Ellard Engineer
Davíd Garza Producer
Brian Brown Engineer
Keith Floyd Engineer
Customer Reviews
Average Review:
and post it to your social network
Most Helpful Customer Reviews
See all customer reviews >


text:
Hotels in Dumaguete near Dumaguete (DGT)
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- Most bookedIsland's Leisure Boutique Hotel & Spa
25 people looked at this hotel in the last hour
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"It was nice, convenient (a little out of the city centre but the city small anyway so easy to move around) and the staff was very friendly. The shared bathroom would need a little extra clean up and maybe some soap/shampoo available for guest but we were satisfied in general. I forgot something a..."
A Traveller, Apr 2016, PH
10 people looked at this hotel in the last hour
Most recent review
"It was a pleasant stay. The staff are really accommodating. They offer help when needed... They don't need lengthy instructions. They are very understanding. The hotel room for family of three is good enough for us. simple yet Very Clean. They have choices of good food as well... the sizzling bul..."
A Traveller, May 2016, PH
Hotels within 2 miles of Dumaguete (DGT)
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"Sent 5 days there. The service was always prompt whenever anything arose. The staff were all friendly and helpful. The cleaning staff should pay a little more attention to detail."
A Traveller, May 2016, US
- Worldview Pension PlazaNo Guest Reviews yet
17 people looked at this hotel in the last hour
15 people looked at this hotel in the last hour
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"This is a really really nice BnB. I travelled alone and stayed in a single room. Comfy room, very clean, working air-con (its one of the noisy ones, so wear ear plugs). Gabby's is charming! The decor especially. I didn't meet many other travellers as most of the guests seem to be Filipino famili..."
A Traveller, May 2016, AU
11 people looked at this hotel in the last hour
11 people looked at this hotel in the last hour
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"This location is the best to be part of all the action"
A Traveller, Feb 2016, US
10 people looked at this hotel in the last hour
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"Nice option for downtown Dumaguete. Very good dependable wifi (most of the time) ... a rarity for this area."
A Traveller, Mar 2016, PH
Hotels within 3 miles of Dumaguete (DGT)
8 people looked at this hotel in the last hour
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"Our room was number 12 which had the view of the rizal boulevard and the bay walk. I really like it, especially during sun rise. The view from the room was really nice facing the boulevard, the bay walk and the two big trees on the opposite side of the road. The hotel was located near the famous ..."
A Traveller, Apr 2016, PH
5 people looked at this hotel in the last hour
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"Was only in Dumaguette for one night and needed two rooms at the last minute. This hotel was very very cheap, but offered a high standard of service and the rooms were better than what I expected for the money....working wifi, air con, cable tv...all bang in the centre of town and 5 mins walk fro..."
A Traveller, Feb 2016, GB
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text:
Bobby Valentine said leaving Justin Thomas in 'just a dumb move'
|04.10.12 at 11:38 pm ET
TORONTO — After his team's 7-3 loss to the Blue Jays Tuesday, Red Sox manager Bobby Valentine was clearly beating himself up more than any of his club's previous three defeats.
The reason?
With nobody out in the sixth inning, and the Blue Jays holding a 3-1 lead, Valentine chose to take out starter Daniel Bard with runners on first and third, bringing in lefty Justin Thomas. The idea was for Thomas to face left-handed hitting Eric Thames, then potentially walk righty J.P. Arencibia if Thames was retired, getting to lefty hitting Colby Rasmus. But a problem developed.
Thomas walked Thames — a career .209 hitter against southpaws. That's when a problem arose for Valentine.
The Sox skipper decided to leave Thomas in to face Arencibia with the hope of a changeup getting the catcher to ground into a double play. The alternative would have been to bring in Matt Albers, whose sinker would have seemingly been the go-to pitch in such a situation. The result was Arencibia hitting 3-1 fastball into center field for a two-run single.
"Just a dumb move," Valentine said of the decision.
Later he added, "I don't like being dumb. I like doing what I'm supposed to do."
He elaborated …
"I should have brought in Albers with the bases loaded, it might have been still a 3-1 game," Valentine said. "We get a great ground ball there and maybe we would have won that game.
"I didn't know [Thomas] well enough. I thought he would get a changup and maybe the changeup would be just as good as the sinker. He got a changeup, hit it off the end of the bat and blooped it into center field."
"You go with the sinker, try and get the ground ball, or go with the changeup, and he hit the changeup off the end of the bat. I just felt right there I should have gone the other way. I was hoping. I don't like to hope. I was actually thinking he was going to get the left-hander out, I was going to be able to walk Arencibia, have him go after the left-hander, but the walk kind of through the thing into another action plan. So the changeup looked like it was working to the left-hander. If he got it down it would have been a ground ball, but he got it up."
Latest from Bleacher Report
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- Podcast Ep. #103: Yes Devers loves me, the homers tell me so
- Weekly notes: Benintendi moves to left field
- Cup of Coffee: Dubon collects four hits, Kemp blasts two homers
- Cup of Coffee: Marrero and Devers homer, Dalbec debuts


text:
Apr 07, 2012, 11.39 AM | Source: CNBC-TV18
Coal India chairman and managing director Zohra Chatterji told CNBC-TV18 that the FSA document was being vetted and would be signed as soon as possible
±The FSA document has been discussed in the board meeting. It is under legal vetting. It will be placed before the board again and then it will be signed as soon as possible, ½ said Coal India chairman and managing director Zohra Chatterji to CNBC-TV18.
Coal India has sought the opinion of the Department of Public Enterprises (DPE) before it acts on the Presidential directive. The DPE is expected to send in its comments later on Wednesday evening.
Top on the agenda at the Coal India board meeting is the discussion on penalty, the clause of force majeure and the ∞deemed deliveryφ clauses.
Also watch the accompanying video.
Coal India arm MCL has proposed setting up of 'Jag
AUM Capital is bullish on Coal India has recommend
"The total outstanding dues from power generating
The country's largest coal miner is also offering
"The trend of fall in import of coal has continued


text:
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text:
- Anoniem
- Verenigde Staten, Mannelijk, 41+
- Novice Nomad
- 1 Herziening
Great place to stay! Quiet location and about a 7-10 minute walk from the calzada. Our room and in fact the entire place was clean... we even had time to enjoy the refreshing pool! I was also impressed with the helpful staff... thank you for making my stay so memorable. I will definitely return again.
- Anoniem
- Canada, Gemengde Groep, 25-30
- Novice Nomad
- 9 Recensies
Well GM Granada 'lost' our reso. The staff did not speak any english which made it difficult for us (although we spoke enough to get by everywhere else on our trip). The Staff didn't explain anything about the hostel to us. We had to figure out everything on our own. They did not tell us that no one is there in the evening after dinner time (which was a big shock to us), or where to get water. It was our worst hostel exp. of our trip
- Anoniem
- Italië, Mannelijk, 31-40
- Globetrotter
- 33 Recensies
Pulito, sicuro, bello ha una piscina, personale disponibile e gentile sicuramente da consigliare
- Anoniem
- Engeland, Echtpaar, 31-40
- Novice Nomad
- 7 Recensies
Booked a four bed dorm but five people in it with beds for possoibly more. The bed sheets were dirty. Location is poor on a noisey street which is not nice to walk down at night. There were lockers in the room but we could not use them as they had no keys so no where safe to store valuables. Overall in 16 months of travelling this is one of the worst hostels i have stayed in.
- Anoniem
- Canada, Echtpaar, 25-30
- Novice Nomad
- 2 Recensies
L'établissement se trouve sur une artère principalement de Granada entraînant un énorme vacant à compter de 6h du matin, et ce, à tous les matins... J'ai eu l'impression que je dormais sur une autoroute... La propreté des toilettes et douches laissant grandement a désirée... La piscine sert plus d'élément décoratif que d'espace pour réellement se baigner vu la piètre qualité de l'entretien. Le plus la présence d'un étang à tortue ! Chambre le Frenchie clairement à éviter.
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text:
Screenshot instructions:
Red Hat Linux
Click URL instructions:
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(This may not be possible with some types of ads)
You seem to have CSS turned off.
Please don't fill out this field.
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Update of /cvsroot/sbcl/sbcl/src/code
In directory sc8-pr-cvs8.sourceforge.net:/tmp/cvs-serv32463/src/code
Modified Files:
Log Message:
220.127.116.11: PPC/Darwin fixes
* Build fix on Leopard (10.5) thanks to Sidney Markowitz
* Finally remove obsolete G5 sigcontext fix as 10.2 is totally old
Index: foreign.lisp
RCS file: /cvsroot/sbcl/sbcl/src/code/foreign.lisp,v
retrieving revision 1.42
retrieving revision 1.43
diff -u -d -r1.42 -r1.43
--- foreign.lisp 14 Nov 2007 15:57:28 -0000 1.42
+++ foreign.lisp 2 Dec 2007 17:00:15 -0000 1.43
@@ -35,8 +35,8 @@
(or (gethash extern table)
(gethash (concatenate 'base-string
- #!+(and darwin (or x86 x86-64)) "_ldso_stub__"
- #!-(and darwin (or x86 x86-64)) "ldso_stub__"
+ #!+(and darwin (or x86 x86-64 ppc)) "_ldso_stub__"
+ #!-(and darwin (or x86 x86-64 ppc)) "ldso_stub__"
extern) table)))))
(defun find-foreign-symbol-address (name)
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text:
List all words starting with pits
3 words found.
List all words starting with pits sorted by length or by how common the words are.
Some random words: chablis asunder tegular oka choana osmatic sea
This is not a dictionary, it's a word game wordfinder.
- Help and FAQ - Examples - Home
Privacy and Cookies Policy - Share - © Copyright 2004-2016 Morewords.com - 4.741mS


text:
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text:
Can candles kill u by way of carbon monoxide poisoning?
kgb answers » Science & Technology » Math, Chemistry, Physics » Can candles kill u by way of carbon monoxide poisoning?
Wednesday, February 01 2012
Source: http://www.epa.gov/iaq/co.html
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text:
jobs near San Antonio, TX
Refine your searchClear Filters
Date Added
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Haz Mat Chemical Driver - San Antonio TX
FSTI, Inc. - San Antonio, TX
Required license or certification:. Must Have CDL, Hazmat and Tanker Endorsements. Growing Chemical Company looking for Class A drivers with Tanker/HazMat...
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text:
That's what happened when there's a Republican governor and a republican majority in the State House and State Senate. Thank goodness for federal laws that are meant to protect the general public. States' rights? B.S.!!!!
You can thank TUSD for that destroy public education act and as the commonsense guns in government buildings except colleges I find worthless until they quit exempting them. The citizens of AZ might have to step up and fix it themselves and the tequiring of reporting a gun stolen to TPD is against state law so that shows just how stupid the town clowncial is.
It's funny that the state legislature is so for home rule at the state level, but so against it at the local level. Oh, and just about every bill for the last 10 years could be classified as a "Keep the lawyers employed" bill. This state would be rolling in surplus funds if they weren't spending 10% - 20% of the general fund on lawyers to defend clearly unconstitutional laws.
"Arizona gets D grade in 2015 State Integrity Investigation. Scandals spur little change."
Political access to Information Grade F
Executive Accountability Grade F
State Civil Service Management Grade F
Lobbying Disclosure Grade F
Ethics Enforcement Agency Grade F
State Pension Fund Management Grade F
What Arizonans have created with their apathy, is truly shameful.
Steve M. - it is obvious we NEED the state legislature, to protect us from all those unfair federal laws, and to stop counties and cities from passing any laws. Unless they agree with a federal law, and then they pass a law that we must obey all those. Doncha see?
Why do we even still HAVE a state legislature anyway? It appears to be becoming anachronistic. Could it be time to restructure lawmaking in Arizona by way of direct democracy?
Your lede, which uses both Chicano and Latino in the same sentence, helped me learn what a Chicano is today. Simply: Chicano = A Mexican-born person (and only Mexican born) living in America. Latino, I guess, would be an American-born person of Mexican heritage.
I previously had assumed the two words were interchangeable, with no birth identity attached -- because I never looked.
I just finished watching the crime investigation show and this is my opinion: Frank Jarvis Atwoon is truley a waste of air.....he should pay with his life. An eye for an eye and die in the same manner as little Vikky did. I am disgusted in the mother and the woman that married this scumbag. How can they sleep at night. Kudos to Atwoods father for turning him in!!
Illegal Mexican immigrant kills 5 - more blood on open border liberals hands
Immigration and Customs Enforcement (ICE) said in a statement late Tuesday that Serrano-Vitorino was a Mexican national who was held at the Overland Park, Kan. Municipal Court on Sept. 14. The fingerprinting generated an ICE detainer, but the agency was "erroneously issued…to the Johnson County Sheriff's Office, instead of the Overland Park Municipal Court."
The Department of Homeland Security said that Serrano-Vitorino was released from custody without ICE being notified, though they did not elaborate on why. ICE also confirmed that Serrano-Vitorino had been deported back to Mexico in 2004, but had since returned illegally.
American lives don't matter.
Well then you birkenstock bolshevik trash might want to flee back to the California sewers you came from! If it all upsets you so. Guess not since the Exodus of Blue States who have screwed their own states up seems never ending. Just remember who is offsides when cultural Marxists start getting burned out. Reality is a real bitch you know. Just like votes consequences to actions eventally come.
"absurd fear of immigrants"
You spelled illegal criminal aliens incorrectly.
The City of South Tucson believes it's driving towards progress, but they have not noticed their vehicle is going in reverse. They say they fear gentrification, but they are on the side of low-income housing and more drug rehabs. City Planner Mick Jensen has been in Favor of Pasadera drug rehab locating across the street from our school since May 2014, even though they are not entitled to be at that location. As a City Planner, he should have known that from the beginning,
I believed Jensen worked for Pasadera, I recently found out he is a City of South Tucson Employee. In this case, he is largely responsible for the lawsuit we are currently facing. We are tired of City employees costing the city millions of dollars without there being consequences. This has to change.
To prevent gentrification in Cost,
subsequently in trying to prevent replacing the poor........... for
Well to do rich people, the Feds...
Should continue to funnel millions
Of dollars constantly in the hands of
all these nonprofit Corporations,in COST.
Mind you, COST is only one square
Mile. Honestly, who would have thought
So, with such an easy formula?
There shall never be, no gentrification
In COST.....Send us your tire, and your pooor..............
SO writes "This absurd fear of immigrants..."
Illegal Alien Crime Accounts for over 30% of Murders in Many States
Between 2008 and 2014, 40% of all murder convictions in Florida were criminal aliens. In New York it was 34% and Arizona 17.8%.
During those years, criminal aliens accounted for 38% of all murder convictions in the five states of California, Texas, Arizona, Florida and New York, while illegal aliens constitute only 5.6% of the total population in those states.
That 38% represents 7,085 murders out of the total of 18,643.
Isn't NPR liberal?
This absurd fear of immigrants is taking away our civil liberties, with 2/3rds of all Americans living 100 miles from all borders. Meanwhile, Americans are raping and mass-killing Americans every day. Americans are taking your money away from you. If its jobs you're worried about, maybe you should think about how people breed jobs as fast as they need them, especially when all the capital isn't getting sucked up to the top and then flying out to some overseas bank.
Border Patrol Blasts Commissioner For "Half-Truths"
In a statement issued this week, Judd stated, "Border Patrol agents do not turn every individual we arrest over to ICE," said Brandon Judd, NBPC president. "Under the Prosecutorial Discretion guidelines, we walk a great many illegal aliens out our front door without them even being interviewed by ICE. In these cases we don't even refer these individuals via a notice to appear to see a judge, the lawful proceeding that allows a person to show cause for why they should be allowed to remain. We simply let them go and pretend they were never in our custody."
Judd added: "The commissioner and I have serious disagreements on border security. He believes that amnesty programs like DAPA, DACA and 'catch and release' are the right approach. However, what we have seen is that these programs are only adding to the crisis, as illegal immigrants believe they are going to be allowed to stay."
"The U.S. government spent an estimated $18 billion on immigration enforcement in 2014..."
No, they didn't. They spent $18 billion NOT enforcing illegal immigration. It's working exactly how the open border, anti-American liberals want it to work.
Border security is fine, but without nationwide enforcement of E-Verify it's mostly pointless.
I remember this... I know all these people. Yo soy el barra


text:
Where there is mountaintop removal, there is so much more vulnerability to extreme weather, ie. tornadoes, etc. The mountains used to serve as buffers against that....is my impression and understanding. Humans are great at ruining what God has created and putting other humans in greater danger of the elements!
Yes, and of course its always the rich corporations who put the poor people in jeopardy knowing full well they can't fight their big money. We all have to keep up the pressure in order to get anything important accomplished.
Destruction, permanent loss and short-sightedness in support of wasting energy. What are we leaving our children?
Climb every mountain,
Ford every stream,
Follow every rainbow,
'Till you find your dream.
The mountains of west Virginia are our dream.
thank you Rodgers and Hammerstein.
Mountains don"t grow back. They just leave a big ugly hole. It's stupid just like the people doing it.
Big Money must NOT be allowed to corrupt the earth for the sake of corporate profits. Mountain top removal has ramifications that impact the ecosystem in ways too numerous to list here. Just because it can technologically be done, doesn't mean it should happen. The government must stop this madness..
This is DISGUSTING! This absolutely makes me want to string up everyone involved in it! No excuses by the billionaires suffice!
I have long been attracted to this campaign and wanting to have a way to meanigfully participate. My dear brother David, a godsend and saint to all many in his Texas community, passed suddenly at the young age of 54 less than two months ago. His cell phone ringtone was 'Go Tell It on the Mountain' so my Christmas gift to him is a donation to this great organization! Mahalo to all who are doing the groundwork that will lead to the end of this destructive and needless practice.
very awesome and heart felt i love u my sistar and think of u all the time


text:
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fuel system on 1995 Isuzu Pickup
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2 answers
Check your Ignition Switch. here is an online manual site that will have the wiring diagrams, for a small fee, but well worth it.
re wire the fuel system, put a on/off switch connecting to the battery. basically its a bypass make sure when doing to turn the switch off everytime turning enigine off cause you will kill the battery if leaving on.


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Not worth using if you want it to last more than a month of use Problems: I had this camera for 4 weeks and it would not record and then it would not even turn on. I contacted the company and they were nice enough to have me return it for full refund. Don't buy this camer if you want one that works for more than a montView review in forums Leave a comment on this review
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Sept. 18 (Bloomberg) -- Su Keenan reports on Russia's revelation that the country discovered a diamond field containing trillions of carats underneath a meteorite crater in Siberia decades ago. (Source: Bloomberg)
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Michael Dwyer, Associated Press
MILWAUKEE — The last-second shot came up short, sending Wisconsin home from the NCAA tournament. It was Jordan Taylor's last play for the Badgers, but it won't be the way he'll be remembered.
Taylor missed a long contested jumper at the end of an awkward final possession, and Wisconsin lost a one-point game to Syracuse on Thursday night. With that, the Badgers' season came to an abrupt end — as did Taylor's distinguished career at Wisconsin.
Badgers coach Bo Ryan credited Taylor's steady point guard play with helping the Badgers recover from a 1-3 start to Big Ten play this season, when another NCAA tournament appearance was anything but a sure thing.
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Homer Bailey is believed to be closing in on a six-year, $100 million deal with the Cincinnati Reds, and the progress just may have helped Justin Masterson complete a one-year deal with the Cleveland Indians in advance of an arbitration hearing.
MLB Rumor Central: Sellers hoping to trade with Indians?
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text:
|Publication number
|Publication type
|Publication date
|Jan 29, 1963
|Filing date
|Dec 5, 1960
|Priority date
|Dec 5, 1960
|Publication number
|Edward P Repke
|Original Assignee
|Clark Equipment Co
|Export Citation
|BiBTeX, EndNote, RefMan
|Patent Citations (2), Referenced by (8), Classifications (10)
|External Links: USPTO, USPTO Assignment, Espacenet
ADJUSTABLE LOAD ENGAGING MEANS FOR LIFT TRUCK Filed DSG. 5, 1960 INVENTQR EDWARD P. REPKE ATTORNEY United States Patent Office 3,@7565 Patented dan. 29, 1963 3,075,665 ADBUSTABLE LGAD ENGAGENG lt/EANS FR LEFT TRUCK Edward P. Repite, (Idioma, Mich., assigner to Clark Equipment Company, a corporation of Michigan Fiied Bec. 5, 196i?, Ser. No. 73,713 7 Claims. (Qi. 214-731) rlhis invention relates to a mounting construction for a lift truck load engaging means and more particularly to a mounting construction which provides full lateral adjustment for pivoted load engaging means.
In the use of certain lift trucks having a pair of fork tines mounted forwardly thereof for engaging, lifting and transporting material, it is desirable that the fork tines be fully adjustable transversely of the truck, as well as being pivotable about a transverse horizontal axis. it is known to mount such fork tines for pivotable movement as aforesaid and to provide limited lateral adjustment therefor, but to my knowledge no prior mounting construction of the type contemplated provides for full lateral adjustment of pivoted fork tines.
it is therefore an important object of the present invention to provide an improved mounting construction for load engaging means of the type contemplated which permits both full lateral adjustment and pivotable movement of the load engaging means.
Another object of the invention is to provide an irnproved fork tine mounting construction associated with the lifting carriage of a lift truck in which separate means are provided for the support of and for the pivot suspension of the fork tines.
Another object of the invention is to provide a generally improved mounting construction for fork tines or other load engaging means of lift trucks.
In carrying out my invention I provi-de a lifting carriage which is associated with a mast construction of a lift truck in known manner and which provides a transverse load supporting beam, a transverse pivot shaft adjacent the beam, transversely movable load supporting bracket means connecting the beam and pivot shaft, and a pair of fork tines suspended from the pivot shaft and movable transversely with the bracket means from a position adjacent one side of the carriage to a position adjacent the opposite side thereof.
In the drawings:
FGURE 1 is a partial view in perspective of the forward end of a lift truck having the mounting construction of the present invention associated with the lifting carriage thereof; and
FIGURE. 2 is a side view in partial section of the lifting mast and fork mounting construction shown in PEG- URE l.
Referring now in detail to the drawings, the lower portion of a telescoping lifting mast construction of a lift truck is illustrated at numeral and is pivotally supported from and forwardly of a drive axle, not shown, and intermediate a pair of drive wheels 12 which are mounted at opposite ends of the drive axle. A pair of laterally spaced tilt cylinders 14 are connected to the truck and to the lifting mast for pivoting the mast about the drive axle. A portion of the body construction of the lift truck is shown at numeral 16.
The mast construction may be like that which is de scribed in detail in copending continuation application Serial No. 111,076, tiled May 18, 1961, in the names of Hastings and Backofen (common assignee). As illustrated herein it comprises a pair of transversely spaced inwardly opening fixed channel members i8 supported, as aforesaid, upon the drive axle of the truck, a pair of partially nested transversely spaced and elevatable l-beam sections Z0 mounted for telescoping vertical movement relative to the fixed beams 1S and offset forwardly thereof so that the forward flanges of the I-beams overlap the forward iianges of channel beams 13, and an upright hydraulically actuated cylinder motor hoist 22 intermediate of I-beams 2t). Hoist motor 22 is pivotally mounted at its lower end upon a transverse pin 24 which is supported in a pair of transversely spaced plates 26, one of which is shown in FiGURE 2. Plates 26 are supported upon a horizontal plate member 23 which connects the lower ends of the beams 1S. In the interest of clarity, only the base end of hoist motor 22 is illustrated in FIG- URE 2, and guide roller members which are connected between beam members 2d' and 18 for supporting the telescoping l-beams in channel members 18 are not shown in FiGURE 2.
Mounted forwardly and extending transversely of the mast construction lil is a carriage and fork mounting assembly 3d which is supported from the I-beams 20 for vertical movement along mast it), being connected to hoist motor 22 in conventional manner by means of a pair of lifting chains 32 which are secured to the carriage construction at the one ends thereof by a pair of bracket members 34 and to a fixed portion of the mast at the other ends thereof. Chains 32 extend over rotatable sprockets, not shown, which are connected to the upper end of the piston rod of hoist motor 22.
The carriage assembly comprises a pair of laterally spaced and vertically extending end frame members 36 interconnected by a pair of vertically spaced and transversely extending beams 38 and 40 and a pivot shaft 42 spaced slightly forwardly of and beneath beam 40. Shaft 4Z is preferably mounted at its opposite ends in resilient support rings d3 located in end members 36. Intermediate end members 36 is located a pair of transversely spaced and rearwardly extending carriage support plates dd which are securely connected to transverse beams 3S and 4t). Secured to the rearward outer portion of each support plate 44 is a pair of vertically spaced rollers 46- which are mounted for registry with the inner-facing channel portions of I-beams Ztl for supporting the carriage assembly in the mast assembly 10 for vertical guided movement with respect thereto. Support plates 44 are connected intermediate the upper and lower ends thereof by a pair of vertically spaced and transversely extending plate members 48, which are in turn connected together by a vertically extending beam located centrally between plates 44 and secured at the lower end to beam 38. An additional transversely extending plate member 52 connects support plates 44 adjacent the upper ends thereof. An additional pair of mounting plate members 54 are secured along inner edges thereof to the forward outer surface portion of support plates 44, and extend transversely outwardly thereof for receiving vertically spaced pairs of side thrust rollers 56 which are mounted for rolling engagement with the overlapping outer edge portions of the forward flanges of I-beams 20.
From pivot shaft 42 depends a pair of transversely spaced fork tines 6d, each of which includes an upper bifurcated journal portion 62 for engaging the pivot shaft as shown. The upper forwardly extending end of each support plate 44 terminates in a downwardly diagonally extending surface 64, and main transverse support beam member 4t), which is shown of rectangular cross-section, is secured rigidly to each surface 64, as by welding, on the lower long side of the section. Beam 4t) is also secured at its opposite ends to carriage frame members 36.
A pair of generally U-shaped brackets 66 including a hook portion 69 embrace the four surfaces of beam 4t), as shown, and register with pivot shaft 42 intermediate the bifurcated upper end portions 62 of each fork tine in an opening 57 formed in an enlarged boss section 68 of each bracket. The lower portions of the vertical legs of the fork tines normally rest against the forward surface of beam 38, which resists the rearward thrust of a load on the fork tines tending to rotate same in a clockwise direction as viewed in FIGURE 2. Assembly notches 70 arecut out. of the rear Surface portion of beam Mlwfand are of slightlygreater width thantthey width of brackets 66. In assemblingthe carriageconstruction with` thek beam 40' secure-dto support lplates A44, brackets 66 are threaded on the beam from opposite ends thereof a distance sutcient to permit forkends ,62,tobe aligned with openings67 for receiving shaft 42.V Then,y with shaft 42 in vposition in resilient supports43 of end bars 36, brackets 66 cannot be,moved,transversely outwardly a suflicient distance to drop into assembly notches 70 and become unintentional- -ly unhooked from ,beam 40 without removal of shaft 42. Resilient supports 43are preferably of sufficient rmness to ,support in position elements 42, 60 anddwhen. no load isv supported by the fork tines, thus allowing a free itting` relation between elements 66 and 40 which permits stvanda'rdmill rolled tolerances to be specified for the dimensions ,of beam 40Which otherwise would require a machined finish As load is applied to the fork tines 6G' the resilientendmounts of shaft 42 yield ,suiciently to bringintofull'supporting abutment brackets fwith' beam 40.`
-As .will now befapparentlthe Weight of the forktines and anyload carried kthereby in supported from fthe transverse beam 40,1and'not from pivot shaft 42;V Each associated 'bracket and fork -tine is adjustable manually in a direction. transverse otjthe carriage assembly-along the entirelengthpf pivot shaft 442so that any .combinationof l relative ,transverse position ofthe pair of fork `tines may` bcleifected within the space provided between vertical` frame members 36. In the present construction the pivot` shaft 142nced not be-of appreciable cross-section, as would be sufficient tosupport a relatively heavy load intermediatethe ends thereof, inasmuchas the load is supported from transverse beamv40, the pivot shaft providing meansy for permittingfpivotallmovement of the fork4 tintes in a Counterdockwise ,direction Such; 21Sv is` desirable during. rearwardnmovement of the llift truck' over uneven Vterrain.,V
In Aadditiornto vfunctioning as a forkV hinge, pivot shaft v42, is'lvan economical means for providing a machined guide whichmaintains the fork ,tinesin transverse alignment at Y all times, and theconstructionlof this invention is well suited *for use with either manual or powered lateral adjustment ofthe, fork Ytines. The present invention provides carriage and jfork tinemounting construction `in which each forktine is capable of being adjusted laterally of` the carriage substantially throughout. the transverse length,
thereof without imposing upon any portion of the carriage an excessiyeddetlection or stresslwithin the load 'carrying capacity of vthe truck.
It will be understood that reference to forkhtines her e.
in is aumattertof convenience of expression, and that any suitable pair oflloadengaging means associatable with partmgxfrom the scope of the invention as defined in the claimsrappended..
1; AL load supporting ,carriageV assembly for use with lift trucks comprisingla pair of `transverselyspaced verticall'y extending frameV members, a pairsof vertically4 spaced transversely extendingbeams connected to said:
frame members, a transversely extending p ivot member connectedltorsaidnframe members andlocated Aadjacent the-upper beam, alpair ofltransversely spaced load engagingmeans dependingsrfrorn said pivot member, said pivot member being supported for limited vertical movement relative toA said upper beam when said loadengaging meansis subjectedto al load,` and a pair ofY members sup` porting said pivot member from the utner one of said beams such that a load on said load engaging means causes the main support thereof to shift the support of the load from said pivot member to said upper beam, said supporting members being connected to said pivot member adjacent the connection thereto of said load engaging means and being adjustable with saidrload engaging means transversely of said pivot member-and the upper one of said beams.`
2. A load supporting. carriage. assembly for use with lift trucks having` aliftingmast construction mounted at one end yof the truck comprising a transversely extending beam, a pair of laterally spaced carriage support means secured to said beam and mounted in opposite sides ofthe lifting mast for supporting said beam forwardly of the lifting mast, a transversely extending pivot -member mounted adjacent said beam, a pair of transversely spaced load engaging means depending from said pivot member, apair of members supporting said pivot member from said beam, saidl latter supporting members being connected to said pivot member adjacent-the connection thereto of said load engaging means and being adjustable with saidl load engaging-means transversely of said pivot member and said beam, andl yielding `means' supporting said pivot :member for limited movement relative to said beam such that said supporting members-are adapted to moveinto full load supporting-abutment with said beam When-said load engaging Vmeans lis subjected to a load.
3; A'load supporting'carriage'assembly for use with lift trucks'having a vertically extending lifting mast construction mounted at one end of' the truck comprising a pair of Vvertcallyspaced transversely extending beams, a pair oftransversely spaced rearwardly extending carriage support .means connected to said beamsand suporting same in the mast construction for elevating movement, a transversely extending pivot memberspaced from the upperone-of said beams, a pair lof transversely spaced load v'engaging means Y dependingy from saidpivot member,
and a pair ofbrackets supporting said pivot memberfrom-the upper oneV of-'said beams, said brackets being connected to saidV pivot member adjacent the connection thereto offeach said load-engaging means and being adjustable with said loadengaging meansv transversely of said'pivot member and the upper one of said beams, whereby each load engaging means is pivotable outwardly of the carriage assembly and is adjustable from a position adjacentrone end of the pivot member to a position adjacent the opposite end thereof, said upper beam having notched reduced end portions of lesser width than theV Width of said brackets so that the brackets may be readily threaded on the upper beam from the ends thereof but cannot drop into said notchedend portions following assembly of the carriage.
4. A carriage assembly as claimed in claim 3 wherein` each load engaging means and associated bracket are mounted uponithe` pivot member in-interlocking relation such that the weight of the load engaging means and any load carried thereby is supported from the upper beam, and vyielding means supporting the ends of said pivot member for limited movement reiative to said upper beam whereby to assure continuous support of the load engaging means and load from said upper beam.
5. A-.load supporting carriage assembly for use with lift trucks having an upright mast construction located at one end of the truck comprising a beam member of substantially-rectangular cross-sectionsupported from and forwardly of the mast construction-for vertical movement relative thereto, said beam lmember extending transversely of the mast construction and being located in a biased plane which extends downwardly and `forwardly from the plane of the mast construction, a pair of transversely spaced generally U-shaped bracket support members. embracing said beam and movable lengthwise-thereof, each said support bracket havingA a downwardly extending portion, a transversely extending vpivot shaft in registry with 7. A carriage assembly as claimed in claim 6 wherein said beam member has notched reduced end portions of lesser width than the width of said support members.
5 References Cited in the le of this patent UNITED STATES PATENTS Ward etal May 13, 1952 Mindrum Sept. 15, 1959
|Cited Patent
|Filing date
|Publication date
|Mar 13, 1950
|May 13, 1952
|John Ridley
|Mechanical handling truck
|Dec 24, 1956
|Sep 15, 1959
|Clark Equipment Co
|Lift truck
|Citing Patent
|Filing date
|Publication date
|Apr 30, 1962
|Dec 14, 1965
|Ver Flugtechnische Werke
|Displaceable jack for automotive vehicles
|May 6, 1965
|Apr 4, 1967
|Foster William E
|Converter unit
|Apr 7, 1969
|Oct 6, 1970
|May Pierluigi
|Device for fork inclination in lifting trucks
|Jul 15, 1974
|Aug 17, 1976
|Little Giant Products, Inc.
|Side shifter assembly for lift trucks
|Feb 2, 1981
|Jul 26, 1983
|Munten Gerard H
|Dual mast lift truck for unbalanced loads and the like
|Jan 7, 1980
|Jan 6, 1982
|Towmotor Corp
|Side shift fork adjustable carriage.
|Apr 11, 1984
|Dec 5, 1984
|Carl Falkenroth S�hne GmbH & Co. KG
|Supporting fork, especially for a stacker truck
|Apr 22, 1982
|Nov 10, 1983
|Towmotor Corporation
|Fork position retainer
|U.S. Classification
|414/667, 414/785
|International Classification
|Cooperative Classification
|European Classification


text:
Rockport Music recently announced the awardees of its third annual Rockport Music Board of Trustees Scholarship given to exemplary music students, typically one from Rockport High School and the other from Gloucester High School. This year, the awardees are Nicholas Endicott of Rockport High School, and the Gloucester Schools scholarship is split between Joshua Cominelli and Alexandra Grace. The scholarship is given in honor of Susan Gray and Alec Dingee and Eve and Phil Cutter.
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