Welcome to the resource topic for 2011/549
Title:
1-Resilient Boolean Function with Optimal Algebraic Immunity
Authors: Qingfang Jin, Zhuojun Liu, Baofeng Wu
Abstract:In this paper, We propose a class of 2k-variable Boolean functions, which have optimal algebraic degree, high nonlinearity, and are 1-resilient. These functions have optimal algebraic immunity when k > 2 and u = -2^l; 0 =< l < k. Based on a general combinatorial conjecture, algebraic immunity of these functions is optimal when k > 2 and u = 2^l; 0 =< l < k. If the general combinatorial conjecture and a new assumption are both true, algebraic immunity of our functions is also optimal when k > 2, otherwise u.
ePrint: https://eprint.iacr.org/2011/549
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