Relative Difference sets from Almost Perfect Nonlinear Functions
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912960061898752 |
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| author | Wang, Zeying |
| author_facet | Wang, Zeying |
| contents | In this paper we explore a connection between certain Almost Perfect Nonlinear Functions (APN functions) and relative difference sets. In particular, we show that the image set of certain 2-to-1 APN functions is a relative difference set. Through a result of Pott this further provides a connection between APN functions and bent functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10203 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Relative Difference sets from Almost Perfect Nonlinear Functions Wang, Zeying Combinatorics 11T71, 94A60 In this paper we explore a connection between certain Almost Perfect Nonlinear Functions (APN functions) and relative difference sets. In particular, we show that the image set of certain 2-to-1 APN functions is a relative difference set. Through a result of Pott this further provides a connection between APN functions and bent functions. |
| title | Relative Difference sets from Almost Perfect Nonlinear Functions |
| topic | Combinatorics 11T71, 94A60 |
| url | https://arxiv.org/abs/2603.10203 |