International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Thomas W. Cusick

Publications

Year
Venue
Title
2005
EPRINT
Strict Avalanche Criterion Over Finite Fields
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.
1993
EUROCRYPT
1990
CRYPTO

Coauthors

Yuan Li (1)
Michael C. Wood (1)