Partially APN functions with APN-like polynomial representations

Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Riera, Constanza Susana; Stănică, Pantelimon
Journal article, Peer reviewed
Accepted version
Thumbnail
View/Open
URI
https://hdl.handle.net/11250/2756790
Date
2020
Metadata
Show full item record
Collections
Original version
Designs, Codes and Cryptography. 2020, 88, 1159–1177   10.1007/s10623-020-00739-6
Abstract
In this paper we investigate several families of monomial functions with APN-like exponents that are not APN, but are partially 0-APN for infinitely many extensions of the binary field F2. We also investigate the differential uniformity of some binomial partial APN functions. Furthermore, the partial APN-ness for some classes of multinomial functions is investigated. We show also that the size of the pAPN spectrum is preserved under CCZ-equivalence.
Publisher
Springer
Journal
Designs, Codes and Cryptography
Copyright
Copyright 2020 Springer