Generalized isotopic shift construction for APN functions
Journal article, Peer reviewed
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OriginalversjonDesigns, Codes and Cryptography. 2021, 89, 19–32 10.1007/s10623-020-00803-1
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.