Bent functions and line ovals
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2016
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| _version_ | 1866914278246711296 |
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| author | Abdukhalikov, Kanat |
| author_facet | Abdukhalikov, Kanat |
| contents | In this paper we study those bent functions which are linear on elements of spreads, their connections with ovals and line ovals, and we give descriptions of their dual bent functions. In particular, we give a geometric characterization of Niho bent functions and of their duals, we give explicit formula for the dual bent function and present direct connections with ovals and line ovals. We also show that bent functions which are linear on elements of inequivalent spreads can be EA-equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1609_03138 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Bent functions and line ovals Abdukhalikov, Kanat Combinatorics Information Theory 51E15, 51E21, 51E23, 12K10, 94A60 In this paper we study those bent functions which are linear on elements of spreads, their connections with ovals and line ovals, and we give descriptions of their dual bent functions. In particular, we give a geometric characterization of Niho bent functions and of their duals, we give explicit formula for the dual bent function and present direct connections with ovals and line ovals. We also show that bent functions which are linear on elements of inequivalent spreads can be EA-equivalent. |
| title | Bent functions and line ovals |
| topic | Combinatorics Information Theory 51E15, 51E21, 51E23, 12K10, 94A60 |
| url | https://arxiv.org/abs/1609.03138 |