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布尔函数的迹单项式逼近

祁传达 袁小转 邵辉

信阳师范学院学报(自然科学版)Issue(3):440-443,4.
信阳师范学院学报(自然科学版)Issue(3):440-443,4.DOI:10.3969/j.issn.1003-0972.2014.03.034

布尔函数的迹单项式逼近

Trace Function Monomials Approximation of Boolean Functions

祁传达 1袁小转 1邵辉1

作者信息

  • 1. 信阳师范学院数学与信息科学学院,河南信阳464000
  • 折叠

摘要

Abstract

A new spectrum of Boolean function was presented by monomial trace function instead of linear func -tion.The new spectrum was called as d-Walsh cyclic spectrum .Trace function monomials best approximation of Boole-an function was investigated and found by computing d-Walsh cyclic spectrum and the computational complexity was just 22n/n .By monomial trace function approximating the feedforward function of stream cipher , it is possible to com-mit a decimation attack on stream cipher , which may have important implications for cipher design and analysis .

关键词

布尔函数/d-Walsh谱/迹函数/单项迹函数逼近

Key words

Boolean function/d-Walsh spectrum/trace function/trace function monomials approximation

分类

信息技术与安全科学

引用本文复制引用

祁传达,袁小转,邵辉..布尔函数的迹单项式逼近[J].信阳师范学院学报(自然科学版),2014,(3):440-443,4.

基金项目

国家自然科学基金项目(61272465);河南省自然科学基金项目 ()

信阳师范学院学报(自然科学版)

OA北大核心CSTPCD

1003-0972

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