[Resource Topic] 2005/361: Strict Avalanche Criterion Over Finite Fields

Welcome to the resource topic for 2005/361

Strict Avalanche Criterion Over Finite Fields

Authors: Yuan Li, T. W. Cusick


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.

ePrint: https://eprint.iacr.org/2005/361

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