Relation between o-equivalence and EA-equivalence for Niho bent functions
| Autor: | Ferdinand Ihringer, Tim Penttila, Tor Helleseth, Claude Carlet, Lilya Budaghyan, Diana Davidova |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Relation (database) Bent function Applied Mathematics 010102 general mathematics Bent molecular geometry General Engineering 0102 computer and information sciences Type (model theory) 01 natural sciences Theoretical Computer Science 010201 computation theory & mathematics Equivalence relation Physics::Accelerator Physics Pairwise comparison 0101 mathematics Boolean function Equivalence (measure theory) Mathematics |
| Zdroj: | Finite Fields and Their Applications |
| Popis: | Boolean functions, and bent functions in particular, are considered up to so-called EA-equivalence, which is the most general known equivalence relation preserving bentness of functions. However, for a special type of bent functions, so-called Niho bent functions there is a more general equivalence relation called o-equivalence which is induced from the equivalence of o-polynomials. In the present work we study, for a given o-polynomial, a general construction which provides all possible o-equivalent Niho bent functions, and we considerably simplify it to a form which excludes EA-equivalent cases. That is, we identify all cases which can potentially lead to pairwise EA-inequivalent Niho bent functions derived from o-equivalence of any given Niho bent function. Furthermore, we determine all pairwise EA-inequivalent Niho bent functions arising from all known o-polynomials via o-equivalence. publishedVersion |
| Databáze: | OpenAIRE |
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