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偶变元MAI旋转对称布尔函数

董德帅 李超 屈龙江 付绍静

国防科技大学学报2012,Vol.34Issue(4):85-89,5.
国防科技大学学报2012,Vol.34Issue(4):85-89,5.

偶变元MAI旋转对称布尔函数

Rotation symmetric Boolean functions in even-variable with maximum algebraic immunity

董德帅 1李超 1屈龙江 1付绍静2

作者信息

  • 1. 国防科技大学理学院,湖南长沙410073
  • 2. 国防科技大学计算机学院,湖南长沙410073
  • 折叠

摘要

Abstract

Algebraic immunity has been considered as one of significant properties for Boolean functions. Two constructions of rotation symmetric Boolean functions (RSBFs) in even-variable with maximum algebraic immunity( MAI) were proposed. Furthermore, the nonlinearity of constructed RSBFs were investigated under special cases of Construction 2. When n≥18 , the constructed MAI RSBFs by using Construction 3 have higher nonlinearity than that of all known MAI RSBFs in even-variable.

关键词

布尔函数/旋转对称对布尔函数/代数免疫度/非线性度

Key words

Boolean functions/ rotation symmetric Boolean functions/ algebraic immunity / nonlinearity

分类

信息技术与安全科学

引用本文复制引用

董德帅,李超,屈龙江,付绍静..偶变元MAI旋转对称布尔函数[J].国防科技大学学报,2012,34(4):85-89,5.

基金项目

国家自然科学基金资助项目(61070215,61103192) (61070215,61103192)

国防科技大学学报

OA北大核心CSCDCSTPCD

1001-2486

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