CryptoDB
Strict Avalanche Criterion Over Finite Fields
Authors: | |
---|---|
Download: | |
Abstract: | 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. |
BibTeX
@misc{eprint-2005-12695, title={Strict Avalanche Criterion Over Finite Fields}, booktitle={IACR Eprint archive}, keywords={}, url={http://eprint.iacr.org/2005/361}, note={ yuanli7983@gmail.com 13063 received 7 Oct 2005}, author={Yuan Li and T.W.Cusick}, year=2005 }