四川大学学报(自然科学版)2007,Vol.44Issue(2):209-212,4.
具有高阶传播准则的对称布尔函数的直接确定
To determine spc(K) boolean functions by its definition
李袁 1项兆虹2
作者信息
- 1. 阿尔科恩大学数学系,密西西比,39096,美国
- 2. 四川大学数学学院,成都,610064
- 折叠
摘要
Abstract
The propagation criterion (PC) and symmetry for Boolean functions are important properties in cryptographic applications. The k-th degree PC was first studied by Preneel et al. In this paper, with some elementary properties of combinatorial coefficients, the authors give a new proof that there are exactly 4 n variable symmetric PC(k) (SPC(k)) functions for k =2,3,…,2[n/2].关键词
布尔函数/密码学/严格雪崩准则/传播准则/对称性/Bent函数/非线性度Key words
Boolean function/cryptography/propegation oriterion/strict avalanch critorion Bent functions/symmetry/nonlinearity分类
数理科学引用本文复制引用
李袁,项兆虹..具有高阶传播准则的对称布尔函数的直接确定[J].四川大学学报(自然科学版),2007,44(2):209-212,4.