CCZ and EA equivalence between mappings over finite Abelian groups

Authors:
Alexander Pott;Yue Zhou
Affiliations:
Faculty of Mathematics, Otto-von-Guericke University, Magdeburg, Germany 39106;Faculty of Mathematics, Otto-von-Guericke University, Magdeburg, Germany 39106 and Department of Mathematics and System Sciences, Science College, National University of Defense Technology, Changs ...
Venue:
Designs, Codes and Cryptography
Year:
2013

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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.