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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
- Available format(s)
- 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
-
CC BY