NEW CONSTRUCTIONS OF VECTORIAL BOOLEAN FUNCTIONS WITH GOOD CRYPTOGRAPHIC PROPERTIES

被引：2
|
作者：
Dong, Deshuai [1 ]
Qu, Longjiang [1 ]
Fu, Shaojing [2 ]
Li, Chao [1 ]
机构：
[1] Natl Univ Def Technol, Coll Sci, Changsha 410073, Hunan, Peoples R China
[2] Natl Univ Def Technol, Sch Comp Sci, Changsha 410073, Hunan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE | 2012年 / 23卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Vectorial Boolean functions; algebraic immunity; nonlinearity; ALGEBRAIC IMMUNITY; ATTACKS;
D O I：
10.1142/S0129054112500086
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Vectorial Boolean functions play an important role in cryptography. How to construct vectorial Boolean functions with good cryptographic properties is a nice problem that worth to be investigated. In this paper we present several constructions of balanced vectorial Boolean functions with high algebraic immunity, high (or optimum) algebraic degree, and very high nonlinearity. In some cases, the constructed functions also achieve optimum algebraic immunity.
引用
收藏
页码：749 / 760
页数：12
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