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, Lilya; Calderini, Marco; Carlet, Claude; Coulter, Robert; Villa, Irene. - 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, Marco
;Carlet, Claude;Villa, Irene
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 | Dimensione | Formato | |
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