Title
On the construction of multi-output Boolean functions with optimal algebraic immunity
Abstract
In this paper,we show a construction of multi-output Boolean functions with optimal algebraic immunity.And,the relationship between the algebraic immunity of a multi-output Boolean function and those of its component functions is studied.We show that all the component functions,together with their nonzero linear combination,of the multi-output Boolean functions achieved by this construction have optimal algebraic immunity simultaneously.
Year
DOI
Venue
2012
10.1007/s11432-012-4597-4
SCIENCE CHINA Information Sciences
Keywords
Field
DocType
algebraic attacks,annihilators,algebraic immunity,boolean functions
Boolean function,Dimension of an algebraic variety,Mathematical optimization,Algebra,Parity function,Algebraic function,Algebraic extension,Boolean expression,Real algebraic geometry,Mathematics,Two-element Boolean algebra
Journal
Volume
Issue
ISSN
55
7
1869-1919
Citations 
PageRank 
References 
0
0.34
20
Authors
4
Name
Order
Citations
PageRank
Jie Zhang1841185.41
shouchao song200.34
Jiao Du36810.21
Qiao-yan Wen4102490.20