NDLI: Affine nonsystematic codes

Content Provider	Springer Nature Link
Author	Malyugin, S. A.
Copyright Year	2012
Abstract	A perfect binary code C of length n = 2$^{ k }$ − 1 is called affine systematic if there exists a k-dimensional subspace of {0, 1}$^{ n }$ such that the intersection of C and each coset with respect to this subspace is a singleton; otherwise C is called affine nonsystematic. In this article we construct affine nonsystematic codes.
Starting Page	451
Ending Page	459
Page Count	9
File Format	PDF
ISSN	19904789
Journal	Journal of Applied and Industrial Mathematics
Volume Number	6
Issue Number	4
e-ISSN	19904797
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2012-11-25
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	perfect code Hamming code nonsystematic code affine nonsystematic code component Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Industrial and Manufacturing Engineering

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Affine nonsystematic codes