On the 2m-variable symmetric Boolean functions with maximum algebraic immunity

被引：0
|
作者：
LongJiang Qu
Chao Li
机构：
[1] National University of Defense Technology,Department of Mathematic and System Science
[2] Fujian Normal University,Key Lab of Network Security and Cryptology Technique
来源：
Science in China Series F: Information Sciences | 2008年 / 51卷
关键词：
algebraic immunity; algebraic attack; symmetric Boolean function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The properties of the 2m-variable symmetric Boolean functions with maximum algebraic immunity are studied in this paper. Their value vectors, algebraic normal forms, and algebraic degrees and weights are all obtained. At last, some necessary conditions for a symmetric Boolean function on even number variables to have maximum algebraic immunity are introduced.
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页码：120 / 127
页数：7
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