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Article Dans Une Revue Designs, Codes and Cryptography Année : 2021

Generalized isotopic shift construction for APN functions

Marco Calderini
Robert Coulter
  • Fonction : Auteur
Irene Villa
  • Fonction : Auteur

Résumé

Abstract In this work we give several generalizations of the isotopic shift construction, introduced recently by Budaghyan et al. (IEEE Trans Inform Theory 66:5299–5309, 2020), when the initial function is a Gold function. In particular, we derive a general construction of APN functions which covers several unclassified APN functions for $$n=8$$ n = 8 and produces fifteen new APN functions for $$n=9$$ n = 9 .

Dates et versions

hal-03965452 , version 1 (31-01-2023)

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Citer

Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert Coulter, Irene Villa. Generalized isotopic shift construction for APN functions. Designs, Codes and Cryptography, 2021, 89 (1), pp.19-32. ⟨10.1007/s10623-020-00803-1⟩. ⟨hal-03965452⟩
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