Name an arbitrary string
05AB1E, 2 bytes
₂∍

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Explanation
 ₂                - 26
  ∍               - Extend/shorten to this length

Extend will repeat the string until it is length 26, shorten will remove chars from the right until it is length 26.
This means that some strings will be slightly more likely (the repeated ones since ab, abab, ababab, ababababab etc all produce ababababababababababababab, but it will fall within the 1%, since these cases of collision only occur for strings below length 26.

05AB1E, 8 bytes (Winning)
HSAsèJ₆∍

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Program's name: faegdahbbafaegdahbbafaegdahbbafaegda

Explanation
HSAsèJ          - Convert it to a string of the first 10 letters of the english alphabet
      ₆∍        - Extend shorten to base 36 (10^36 &gt; 2^100)        
  

Can definitely be shorter, but why bother. It wins.