Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (12): 38-39.DOI: 10.3778/j.issn.1002-8331.2009.12.012

• 研究、探讨 • Previous Articles     Next Articles

Cryptographic propertis of even variables majority functions

WANG Yong-juan1,2,HAN Wen-bao1,LI Shi-qu1   

  1. 1.Information Research Department,Information Engineering University,Zhengzhou 450002,China
    2.Basic Courses Department,University of Foreigner Language,Luoyang,Henan 471003,China
  • Received:2008-03-07 Revised:2008-04-15 Online:2009-04-21 Published:2009-04-21
  • Contact: WANG Yong-juan

偶数元择多函数的密码学性质

王永娟1,2,韩文报1,李世取1   

  1. 1.解放军信息工程大学 信息研究系,郑州 450002
    2.解放军外国语学院 基础部,河南 洛阳 471003
  • 通讯作者: 王永娟

Abstract: People pay much attention to majority functions because they have optimum Algebraic Immunity(AI).This paper discusses Even Variables Majority(EVM) function.EVM functions have good stability and ability to resist correlation attack.This paper also constructs a kind of correlation immunity Boolean functions which is affine equivalent to EVM functions.

Key words: majority functions, algebraic immunity, correlation immunity, nonlinearity

摘要: 择多函数因为具有最高的代数免疫(AI)而备受密码工作者的关注。证明了偶数元择多(EVM)函数在AI达到最大的同时具有很好的稳定性和抵抗相关攻击的能力,并构造出一类与偶数元择多函数线性等价的相关免疫函数。

关键词: 择多函数, 代数免疫, 相关免疫, 非线性度