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 and produces fifteen new APN functions for n= 9.
Generalized isotopic shift construction for APN functions / Budaghyan, L.; Calderini, M.; Carlet, C.; Coulter, R.; Villa, I.. - In: DESIGNS, CODES AND CRYPTOGRAPHY. - ISSN 0925-1022. - 89:1(2021), pp. 19-32. [10.1007/s10623-020-00803-1]
Generalized isotopic shift construction for APN functions
Calderini M.;Villa I.
2021-01-01
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 and produces fifteen new APN functions for n= 9.File in questo prodotto:
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