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 | Abstract: | 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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