Generalized isotopic shift construction for APN functions

Autor: Irene Villa, Robert S. Coulter, Marco Calderini, Lilya Budaghyan, Claude Carlet
Rok vydání: 2020
Předmět:
Zdroj: Designs, Codes and Cryptography
ISSN: 1573-7586
0925-1022
Popis: 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 .
Databáze: OpenAIRE
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