Several new classes of Boolean functions with few Walsh transform values

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Библиографические подробности
Опубликовано в::arXiv.org (Jun 16, 2015), p. n/a
Главный автор: Xu, Guangkui
Другие авторы: Cao, Xiwang, Xu, Shanding
Опубликовано:
Cornell University Library, arXiv.org
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100 1 |a Xu, Guangkui 
245 1 |a Several new classes of Boolean functions with few Walsh transform values 
260 |b Cornell University Library, arXiv.org  |c Jun 16, 2015 
513 |a Working Paper 
520 3 |a In this paper, several new classes of Boolean functions with few Walsh transform values, including bent, semi-bent and five-valued functions, are obtained by adding the product of two or three linear functions to some known bent functions.Numerical results show that the proposed class contains cubic bent functions that are affinely inequivalent to all known quadratic ones. Meanwhile, we determine the distribution of the Walsh spectrum of five-valued functions constructed in this paper. 
653 |a Boolean functions 
653 |a Boolean algebra 
653 |a Walsh transforms 
653 |a Linear functions 
700 1 |a Cao, Xiwang 
700 1 |a Xu, Shanding 
773 0 |t arXiv.org  |g (Jun 16, 2015), p. n/a 
786 0 |d ProQuest  |t Engineering Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/2082682017/abstract/embedded/75I98GEZK8WCJMPQ?source=fedsrch 
856 4 0 |3 Full text outside of ProQuest  |u http://arxiv.org/abs/1506.04886