Partially APN functions with APN-like polynomial representations
Peer reviewed, Journal article
Accepted version
View/ Open
Date
2020Metadata
Show full item recordCollections
Original version
Budaghyan, L., Kaleyski, N., Riera, C., & Stănică, P. (2020). Partially APN functions with APN-like polynomial representations. Designs, Codes and Cryptography, 88(6), 1159-1177. 10.1007/s10623-020-00739-6Abstract
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.
Description
This is a post-peer-review, pre-copyedit version of an article published in Designs, Codes and Cryptography. The final authenticated version is available online at: https://doi.org/10.1007/s10623-020-00739-6