Authors: Moraga, Claudio
Stanković, Milena
Stanković, Radomir 
Stojković, Suzana
Title: The Maiorana method to generate multiple-valued bent functions revisited
Journal: Proceedings of The International Symposium on Multiple-Valued Logic
First page: 19
Last page: 24
Conference: 44th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2014; Bremen; Germany; 19 May 2014 through 21 May 2014
Issue Date: 1-Jan-2014
ISBN: 978-1-479-93534-5
ISSN: 0195-623X
DOI: 10.1109/ISMVL.2014.12
Abstract: 
A matrix-based formal representation of the Maiorana Method to generate MV-bent functions is introduced and a proof of correctness is given. The generation of bent, and strict bent multiple-valued functions is analyzed. It is shown that all bent functions generated with the Maiorana method are strict bent. Finally it is shown that the number of ternary bent functions of 4 arguments is at least 708,588. A general lower bound on the number of multiple-valued bent functions on an even and odd number of arguments is provided.
Keywords: generation | Multiple-valued bent functions | quantification
Publisher: IEEE

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