| Authors: | Moraga, Claudio Stanković, Radomir Stankovic, Milena |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Additive Decomposition of Bent Functions | Related Publication(s): | Proceedings of the International Symposium on Multiple Valued Logic | Conference: | 55th International Symposium on Multiple-Valued Logic (ISMVL), 05-06 June 2025, Montreal, QC, Canada | Issue Date: | 1-Jan-2025 | Rank: | M33 | ISBN: | 9798331507442 | ISSN: | 0195-623X | DOI: | 10.1109/ISMVL64713.2025.00040 | Abstract: | An additive decomposition of multiple-valued bent functions is studied. It is shown that multiple-valued bent functions may be decomposed with respect to the arithmetic addition, the modulo p addition and the tensor sum of value vectors of p-valued functions. The number of some possible decompositions of bent functions is determined. Examples of additive decomposition of p-valued bent functions for p ∈ {3, 4, 5} are given. It is shown that under structural conditions there are functions which are not bent, but may have close related decompositions. |
Keywords: | additive decomposition | Bent functions | tensor sum | Publisher: | IEEE |
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