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应用科学学报 ›› 1997, Vol. 15 ›› Issue (4): 418-423.

• 论文 • 上一篇    下一篇

一种非线性置换的实现及其差分分布

谷大武, 肖国镇   

  1. 西安电子科技大学
  • 收稿日期:1996-05-23 修回日期:1996-11-16 出版日期:1997-12-31 发布日期:1997-12-31
  • 作者简介:谷大武:博士,西安电子科技大学博士班,西安 710071
  • 基金资助:
    国家自然科学基金

REALIZATION OF SOME NON-LINEAR PERMUTATIONS WITH ITS DIFFERENTIAL DISTRIBUTIONS

GU DAWU, XIAO GUOZHEN   

  1. Xidian University, Xi'an 710071
  • Received:1996-05-23 Revised:1996-11-16 Online:1997-12-31 Published:1997-12-31

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摘要： 例示了有限域上的幂函数作为非线性置换的具体实现,提出了两个新的S盒的设计准则,给出了一批具均匀输入输出差分分布特性的密码参数,最后提供了一个猜想.

关键词: 非线性置换, S盒, 幂函数, I/O差分分布

Abstract: The exponential functions over a finite field, which are chosen as some nonlinear permutations, are illustrated in details. Two new principles of designing S-boxes are proposed. Series of cryptographic parameters are calculated with characteristics of equivalent I/O differential distribution. And an assumption is put forward.

Key words: I/O differential distribution, non-linear permutation, S-box, exponential function