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Strict Avalanche Criterion Over Finite Fields
Authors: Yuan Li, T. W. CusickAbstract:
Boolean functions on GF(2) which satisfy the Strict Avalanche
Criterion (SAC) play an important
role in the art of information security. In this paper, we extend the conception
SAC to finite fields GF(p). A necessary and sufficient condition is given by
using spectral analysis. Also, based on an interesting permutation
polynomial theorem, we prove various facts about (n-1)-th order SAC functions on
GF(p). We also construct many such functions.
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