Relationships between CCZ and EA equivalence classes and corresponding code invariants
The purpose of this paper is to provide a brief survey of CCZ and EA equivalence for functions f : G → N where G and N are finite and N is m abelian, and, for the case f : Z_p^m→ Z_p^m, to investigate two codes derived from f, inspired by these equivalences. In particular we show the dimension of th...
| Autores: | , |
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| Tipo de recurso: | capítulo de libro |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:142859 |
| Acceso en línea: | https://ddd.uab.cat/record/142859 https://dx.doi.org/urn:doi:10.1007/978-3-319-12325-7_1 |
| Access Level: | acceso abierto |
| Palabra clave: | EA-equivalence class CCZ equivalence class Code invariant APN function Differential cryptanalysis |
| Sumario: | The purpose of this paper is to provide a brief survey of CCZ and EA equivalence for functions f : G → N where G and N are finite and N is m abelian, and, for the case f : Z_p^m→ Z_p^m, to investigate two codes derived from f, inspired by these equivalences. In particular we show the dimension of the kernel of each code determines a new invariant of the corresponding equivalence class. We present computational results for p=2 and small m. |
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