An Equivalent Representation of Generalized Differentials
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916835653320704 |
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| author | Suder, Valentin |
| author_facet | Suder, Valentin |
| contents | We propose an equivalent formula for the higher-order derivatives used in the study of Generalized Almost Perfect Nonlinear functions over an arbitrary finite field of characteristic $p$. The result is obtained by counting the number of subsets of the prime field with a fixed cardinality for which the sum of their elements is constant. We then ask related questions regarding the diversity of higher-order derivatives. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07337 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Equivalent Representation of Generalized Differentials Suder, Valentin Number Theory Discrete Mathematics We propose an equivalent formula for the higher-order derivatives used in the study of Generalized Almost Perfect Nonlinear functions over an arbitrary finite field of characteristic $p$. The result is obtained by counting the number of subsets of the prime field with a fixed cardinality for which the sum of their elements is constant. We then ask related questions regarding the diversity of higher-order derivatives. |
| title | An Equivalent Representation of Generalized Differentials |
| topic | Number Theory Discrete Mathematics |
| url | https://arxiv.org/abs/2507.07337 |