Title :
Constructing Symmetric Boolean Functions With Maximum Algebraic Immunity
Author :
Qu, LongJiang ; Feng, Keqin ; Liu, Feng ; Wang, Lei
Author_Institution :
Dept. of Math. & Syst. Sci., Nat. Univ. of Defence Technol., Changsha
fDate :
5/1/2009 12:00:00 AM
Abstract :
Symmetric Boolean functions with even variables 2k and maximum algebraic immunity AI(f) = k have been constructed in Braeken´s thesis (2006). In this paper, we show more constructions of such Boolean functions including the generalization of a result and prove a conjecture raised in Braeken´s thesis (2006).
Keywords :
Boolean functions; Braeken thesis; conjecture proof; cryptography; maximum algebraic immunity; symmetric Boolean functions construction; Boolean functions; Cryptography; Hamming weight; Information security; Laboratories; Mathematics; Mobile communication; Resists; Symmetric matrices; Algebraic immunity; symmetric Boolean functions;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2009.2015999
