Strict  Avalanche  Criterion  Over  Finite  Fields

Yuan Li; T. W. Cusick

Paper 2005/361 Original: eprint.iacr.org/2005/361 ↗

Strict Avalanche Criterion Over Finite Fields

Yuan Li

T. W. Cusick

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.

Metadata

Available format(s): PDF
Publication info: Preprint.
History: 2005-10-09: last updated; 2005-10-09: published
Short URL: https://ia.cr/2005/361
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2005/361,
      author = {Yuan Li and T. W. Cusick},
      title = {Strict  Avalanche  Criterion  Over  Finite  Fields},
      howpublished = {Cryptology {ePrint} Archive, Paper 2005/361},
      year = {2005},
      url = {https://eprint.iacr.org/2005/361}
}