DocumentCode
526703
Title
Cryptographic properties of a class of Boolean functions with maximum algebraic immunity
Author
Du, Yusong
Author_Institution
Sch. of Math. & Inf. Sci., Guangzhou Univ., Guangzhou, China
Volume
6
fYear
2010
fDate
9-11 July 2010
Firstpage
612
Lastpage
615
Abstract
The cryptographic properties of a class of Boolean functions with maximum algebraic immunity are investigated. Its algebraic normal form is described, its Walsh spectrum is determined and its resistance to fast algebraic attacks is observed by computer experiments. The maximum algebraic degree of this class of Boolean functions is n - 1. It has always the same nonlinearity, which is the minimum nonlinearity of Boolean functions with the maximum algebraic immunity. There may not exist a suboptimal Boolean function against fast algebraic attacks in this class of Boolean functions.
Keywords
Boolean functions; cryptography; Boolean functions; Walsh spectrum; algebraic attacks; cryptographic properties; maximum algebraic immunity; Artificial neural networks; Cryptography;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Science and Information Technology (ICCSIT), 2010 3rd IEEE International Conference on
Conference_Location
Chengdu
Print_ISBN
978-1-4244-5537-9
Type
conf
DOI
10.1109/ICCSIT.2010.5564957
Filename
5564957
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