NDLI: Euclidean self-dual codes over non-commutative Frobenius rings

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Content Provider	Springer Nature Link
Author	Dougherty, Steven T. Leroy, André
Copyright Year	2015
Abstract	We study self-dual codes over non-commutative Frobenius rings. It is shown that a code is equal to its left orthogonal if and only if it is equal to its right orthogonal. Constructions of self-dual codes are given over Frobenius rings that arise from self-dual codes over the center of the ring. These constructions are used to show for which lengths self-dual codes exist over various rings.
Ending Page	203
Page Count	19
Starting Page	185
File Format	PDF
ISSN	09381279
e-ISSN	14320622
Journal	Applicable Algebra in Engineering, Communication and Computing
Issue Number	3
Volume Number	27
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-10-24
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Self-dual codes Frobenius rings Computer Hardware Artificial Intelligence (incl. Robotics) Linear codes, general Theory of Computation Non-commutative rings Symbolic and Algebraic Manipulation
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Algebra and Number Theory

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Euclidean self-dual codes over non-commutative Frobenius rings