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Article . 2016
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Discrete Mathematics and Applications
Article . 2016 . Peer-reviewed
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https://dx.doi.org/10.1515/dma...
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Estimates for distribution of the minimal distance of a random linear code

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2016 English Publisher:Walter de Gruyter GmbHJournal:Discrete Mathematics and Applications, volume 26, pages 203-211 (issn: 0924-9265, eissn: 1569-3929, Copyright policy )
Authors: Kopyttsev, Viktor A.; Mikhaĭlov, Vladimir G.;

doi: 10.1515/dma-2016-0018

Estimates for distribution of the minimal distance of a random linear code

Abstract

AbstractThe distribution function of the minimum distance (the minimum weight of nonzero codewords) of a random linear code over a finite field is studied. Expicit bounds in the form of inequalities and asymptotic estimates for this distribution function are obtained.

Keywords

explicit estimates of distribution functions, asymptotic estimates of distribution functions, minimum distance of a linear code, Linear codes (general theory)

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selected citations
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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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