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Paper 2011/515

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

Qingfang Jin and Zhuojun Liu and Baofeng Wu and 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
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PDF
Publication info
Published elsewhere. Unknown where it was published
Keywords
Boolean functionAlgebraic immunityBent functionBalancednessNonlinearityAlgebraic degree
Contact author(s)
qfjin @ amss ac cn
History
2011-09-22: received
Short URL
https://ia.cr/2011/515
License
Creative Commons Attribution
CC BY
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