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Paper 2011/549
1-Resilient Boolean Function with Optimal Algebraic Immunity
Qingfang Jin and Zhuojun Liu and 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.
Metadata
- Available format(s)
- Publication info
- Published elsewhere. Unknown where it was published
- Contact author(s)
- qfjin @ amss ac cn
- History
- 2011-10-11: received
- Short URL
- https://ia.cr/2011/549
- License
-
CC BY