NDLI: On the symmetric properties of APN functions

Content Provider	Springer Nature Link
Author	Vitkup, V. A.
Copyright Year	2016
Abstract	We study the symmetric properties of APN functions as well as the structure and properties of the range of an arbitrary APN function. We prove that there is no permutation of variables that preserves the values of an APN function. Upper bounds for the number of symmetric coordinate Boolean functions in an APN function and its coordinate functions invariant under a cyclic shift are obtained. For n ≤ 6, some upper bounds for the maximal number of identical values of an APN function are given and a lower bound is found for different values of an arbitrary APN function of n variables.
Starting Page	126
Ending Page	135
Page Count	10
File Format	PDF
ISSN	19904789
Journal	Journal of Applied and Industrial Mathematics
Volume Number	10
Issue Number	1
e-ISSN	19904797
Language	English
Publisher	Pleiades Publishing
Publisher Date	2016-03-24
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	vectorial Boolean function APN function symmetric function Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Industrial and Manufacturing Engineering

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On the symmetric properties of APN functions