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

Generalized isotopic shift construction for APN functions

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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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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