Abstract
© Springer International Publishing Switzerland 2014. 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 abelian, and, for the case f : ℤmp → ℤmp, 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.
Original language | English |
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Pages (from-to) | 3-17 |
Journal | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
Volume | 8865 |
DOIs | |
Publication status | Published - 1 Jan 2014 |
Keywords
- APN function
- CCZ equivalence class
- Code invariant
- Differential cryptanalysis
- EA-equivalence class