Relationships between CCZ and EA equivalence classes and corresponding code invariants

Kathy J. Horadam, Mercé Villanueva

Research output: Contribution to journalArticleResearchpeer-review

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.

Keywords

  • APN function
  • CCZ equivalence class
  • Code invariant
  • Differential cryptanalysis
  • EA-equivalence class

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