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Paper 2005/361
Strict Avalanche Criterion Over Finite Fields
Yuan Li and 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 PS
- Publication info
- Published elsewhere. Unknown where it was published
- Contact author(s)
- yuanli7983 @ gmail com
- History
- 2005-10-09: received
- Short URL
- https://ia.cr/2005/361
- License
-
CC BY