CCZ and EA equivalence between mappings over finite Abelian groups (original) (raw)

Abstract

CCZ- and EA-equivalence, which are originally defined for vectorial Boolean functions, has been extended to mappings between finite abelian groups G and H. We obtain an extension theorem for CCZ-equivalent but not EA-equivalent mappings. Recent results in [2] are improved and generalized.

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Authors and Affiliations

  1. Faculty of Mathematics, Otto-von-Guericke University, 39106, Magdeburg, Germany
    Alexander Pott & Yue Zhou
  2. Department of Mathematics and System Sciences, Science College, National University of Defense Technology, 410073, Changsha, People’s Republic of China
    Yue Zhou

Authors

  1. Alexander Pott
  2. Yue Zhou

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Correspondence toYue Zhou.

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This is one of several papers published in Designs, Codes and Cryptography comprising the “Special Issue on Coding and Cryptography”.

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Pott, A., Zhou, Y. CCZ and EA equivalence between mappings over finite Abelian groups.Des. Codes Cryptogr. 66, 99–109 (2013). https://doi.org/10.1007/s10623-012-9661-y

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