Generalized isotopic shift construction for APN functions

Budaghyan, Lilya; Calderini, Marco; Carlet, Claude Michael; Coulter, Robert; Villa, Irene
Journal article, Peer reviewed
Published version
Thumbnail
View/Open
URI
https://hdl.handle.net/11250/2763016
Date
2021
Metadata
Show full item record
Collections
Original version
Designs, Codes and Cryptography. 2021, 89, 19–32   10.1007/s10623-020-00803-1
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.
Publisher
Springer
Journal
Designs, Codes and Cryptography
Copyright
Copyright 2020 The Authors
Navngivelse 4.0 Internasjonal
Except where otherwise noted, this item's license is described as Navngivelse 4.0 Internasjonal