Constructing Boolean Functions with Higher Nonlinearity

Wen Qiaoyan; Yang Yixian

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Constructing Boolean Functions with Higher Nonlinearity

更新时间：2025-12-08

- Constructing Boolean Functions with Higher Nonlinearity
- Acta Electronica Sinica Issue 7, (1999)
- 作者机构：
  
  北京邮电大学
- 作者简介：
- 基金信息：
- DOI：
  CLC： O174
- Published：1999
- 稿件说明：
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[1]温巧燕,杨义先.高非线性度布尔函数的构造[J].电子学报,1999(07):109-110+113.

Wen Qiaoyan, Yang Yixian. Constructing Boolean Functions with Higher Nonlinearity[J]. Acta Electronica Sinica, 1999, (7).
[1]温巧燕,杨义先.高非线性度布尔函数的构造[J].电子学报,1999(07):109-110+113. DOI：

Wen Qiaoyan, Yang Yixian. Constructing Boolean Functions with Higher Nonlinearity[J]. Acta Electronica Sinica, 1999, (7). DOI：

摘要

布尔函数的非线性度是衡量其密码学意义的重要标志．而非线性度和其它密码学强度指标，如代数次数、扩散性、相关免疫性等存在着制约关系．本文研究了高非线性度布尔函数的构造，讨论非线性度和其它密码学准则之间的折衷关系．给出高非线性度、高代数次数、高非线性度平衡相关免疫以及具有较好扩散性的高非线性度布尔函数的几种构造方法．

Abstract

Higher nonlinearity is an important cryptographic property of Boolean functions.There is trade off among the property and others

such as algebraic degree and correlation immunity.In this paper

constructions for Boolean functions with higher nonlinearity are presented.The tradeoff among the nonlinearity and the other cryptographic properties is discussed.Some methods of constructing Boolean functions with higher nonlinearity and higher algebraic degree

higher nonlinearity and propagation

higher nonlinearity and correlationimmunity are given respectively.

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