A general conjecture similar to T-D conjecture and its applications in constructing Boolean functions with optimal algebraic immunity

Qingfang Jin; Zhuojun Liu; Baofeng Wu; Xiaoming Zhang

Paper 2011/515 Original: eprint.iacr.org/2011/515 ↗

A general conjecture similar to T-D conjecture and its applications in constructing Boolean functions with optimal algebraic immunity

Qingfang Jin

Zhuojun Liu

Baofeng Wu

Xiaoming Zhang

Abstract

In this paper, we propose two classes of 2k-variable Boolean functions, which have optimal algebraic immunity under the assumption that a general combinatorial conjecture is correct. These functions also have high algebraic degree and high nonlinearity. One class contain more bent functions, and the other class are balanced.

Metadata

Available format(s): PDF
Publication info: Preprint.
History: 2011-09-22: last updated; 2011-09-22: published
Short URL: https://ia.cr/2011/515
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2011/515,
      author = {Qingfang Jin and Zhuojun Liu and Baofeng Wu and Xiaoming Zhang},
      title = {A general conjecture similar to T-D conjecture and its applications in constructing Boolean functions with optimal algebraic immunity},
      howpublished = {Cryptology {ePrint} Archive, Paper 2011/515},
      year = {2011},
      url = {https://eprint.iacr.org/2011/515}
}