Changing almost perfect nonlinear functions on affine subspaces of small codimensions
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917886566596608 |
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| author | Taniguchi, Hiroaki Polujan, Alexandr Pott, Alexander Arshad, Razi |
| author_facet | Taniguchi, Hiroaki Polujan, Alexandr Pott, Alexander Arshad, Razi |
| contents | In this article, we study algebraic decompositions and secondary constructions of almost perfect nonlinear (APN) functions. In many cases, we establish precise criteria which characterize when certain modifications of a given APN function yield new ones. Furthermore, we show that some of the newly constructed functions are extended-affine inequivalent to the original ones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03922 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Changing almost perfect nonlinear functions on affine subspaces of small codimensions Taniguchi, Hiroaki Polujan, Alexandr Pott, Alexander Arshad, Razi Combinatorics Information Theory Classical Analysis and ODEs 06E30, 11T06, 94A60 In this article, we study algebraic decompositions and secondary constructions of almost perfect nonlinear (APN) functions. In many cases, we establish precise criteria which characterize when certain modifications of a given APN function yield new ones. Furthermore, we show that some of the newly constructed functions are extended-affine inequivalent to the original ones. |
| title | Changing almost perfect nonlinear functions on affine subspaces of small codimensions |
| topic | Combinatorics Information Theory Classical Analysis and ODEs 06E30, 11T06, 94A60 |
| url | https://arxiv.org/abs/2501.03922 |