Title :
A Note on Symmetric Boolean Functions With Maximum Algebraic Immunity in Odd Number of Variables
Author :
Longjiang Qu ; Chao Li ; Keqin Feng
Author_Institution :
Nat. Univ. of Defense Technol., ChangSha
Abstract :
In this note, it is proved that for each odd positive integer n there are exactly two n-variable symmetric Boolean functions with maximum algebraic immunity.
Keywords :
Boolean functions; cryptography; maximum algebraic immunity; odd positive integer; symmetric Boolean functions; Algebra; Block codes; Boolean functions; Conferences; Information theory; Lattices; MIMO; Optimal control; Space time codes; Transmitting antennas; Algebraic attack; algebraic immunity; symmetric Boolean function;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2007.901189
