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APN permutations on Zn and Costas arrays

Authors :
Drakakis, Konstantinos
Gow, Rod
McGuire, Gary
Source :
Discrete Applied Mathematics. (15):3320-3326
Publisher :
Elsevier B.V.

Abstract

We study PN and APN functions over the integers modulo n. We give some construction techniques based on Costas arrays, which allow us to construct APN permutations on Zp−1 where p is a prime. Although PN permutations do not exist, one set of our functions is very close to being a set of PN permutations.

Details

Language :
English
ISSN :
0166218X
Issue :
15
Database :
OpenAIRE
Journal :
Discrete Applied Mathematics
Accession number :
edsair.core.ac.uk....e3869382c3e17ec0abd5294a44a221c9
Full Text :
https://doi.org/10.1016/j.dam.2009.06.029