Paper 2011/549 Original: eprint.iacr.org/2011/549 ↗
1-Resilient Boolean Function with Optimal Algebraic Immunity
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)
PDF- Publication info
- Preprint.
- History
- 2011-10-11: last updated
- 2011-10-11: published
- Short URL
- https://ia.cr/2011/549
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2011/549,
author = {Qingfang Jin and Zhuojun Liu and Baofeng Wu},
title = {1-Resilient Boolean Function with Optimal Algebraic Immunity},
howpublished = {Cryptology {ePrint} Archive, Paper 2011/549},
year = {2011},
url = {https://eprint.iacr.org/2011/549}
}