Authors: Stanković, Radomir 
Stanković, Milena
Astola, Jaakko
Moraga, Claudio
Title: Gibbs characterization of binary and ternary bent functions
Journal: Proceedings of The International Symposium on Multiple-Valued Logic
Volume: 2016-July
First page: 205
Last page: 210
Conference: 46th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2016; Sapporo, Hokkaido; Japan; 18 May 2016 through 20 May 2016
Issue Date: 18-Jul-2016
ISBN: 978-1-467-39488-8
ISSN: 0195-623X
DOI: 10.1109/ISMVL.2016.23
The paper discusses relationships between bent functions and spectral invariant operations. Considerations are done on examples of binary and ternary bent functions, however, can be generalized to p-ary bent functions for any prime p. We also discuss differences between the binary and ternary cases of a method for characterization of certain classes of bent functions in terms of particular differential operators on finite groups called the Gibbs derivatives.
Keywords: Bent functions | Gibbs dyadic derivatives | Vilenkin-Chrestenson transform | Walsh transform
Publisher: IEEE

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