NDLI: A threshold property of quadratic Boolean functions

Content Provider	Springer Nature Link
Author	Kolomeec, N. A.
Copyright Year	2015
Abstract	Let f be a Boolean function of n variables such that, for every affine subspace L of dimension [n/2], f is either affine on all shifts of L or affine on none of the shifts of L. We prove that either the degree of f is at most 2 or there is no affine subspace of dimension [n/2] on which f is affine.
Starting Page	83
Ending Page	87
Page Count	5
File Format	PDF
ISSN	19904789
Journal	Journal of Applied and Industrial Mathematics
Volume Number	9
Issue Number	1
e-ISSN	19904797
Language	English
Publisher	Pleiades Publishing
Publisher Date	2015-02-28
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Boolean function quadratic Boolean function bent function Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Industrial and Manufacturing Engineering

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A threshold property of quadratic Boolean functions