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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Applicable Algebra i...arrow_drop_down
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Applicable Algebra in Engineering Communication and Computing
Article . 2002 . Peer-reviewed
License: Springer TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Graded Codes

Graded codes
descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2002Publisher:Springer Science and Business Media LLCJournal:Applicable Algebra in Engineering, Communication and Computing, volume 13, pages 107-120 (issn: 0938-1279, eissn: 1432-0622, Copyright policy )
Authors: Justo Peralta; Blas Torrecillas;

doi: 10.1007/s002000200094

Abstract

The authors impose algebraic structure on cyclic codes. In particular, they consider codes which are graded left \(R\)-modules. They establish properties of graded codes from their homogeneous components and generalize to results about codes as ideals in group algebras. For instance, they study cocyclic codes as ideals in a crossed product.

Related Organizations
Keywords

graded rings, cocycles, cyclic codes, Group rings, group algebras, twisted rings, Synchronization error-correcting codes, cocyclic codes, Cyclic codes

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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