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Several new classes of Boolean functions with few Walsh transform values

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Publicado en:arXiv.org (Jun 16, 2015), p. n/a
Autor principal: Xu, Guangkui
Otros Autores: Cao, Xiwang, Xu, Shanding
Publicado:
Cornell University Library, arXiv.org
Materias:
Boolean functions
Boolean algebra
Walsh transforms
Linear functions
Acceso en línea:Citation/Abstract
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Resumen: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.
ISSN:2331-8422
Fuente:Engineering Database