1. A cryptographic system, comprising: a data stream receiving means configured for receiving an input data stream; a generator configured for selectively generating a random number sequence utilizing a ring structure which has been punctured; a mixed radix converter coupled to said generator and configured for performing a mixed radix conversion to convert said random number sequence from a first number base to a second number base; an encryptor coupled to said data stream receiving means and said mixed radix converter, said encryptor configured for generating an modified data stream by combining said random number sequence in said second number base with said input data stream; and wherein said ring structure which has been punctured and said mixed radix converter are configured in combination to produce a random number sequence in said second number base which is exclusive of any statistical artifacts associated with said mixed radix conversion.