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arXiv.org e-Print Archive
Preprint . 2018
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Article . 2018
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Optimal LRC codes for all lenghts n <= q

descriptionPublicationkeyboard_double_arrow_right Preprint , Article 01 Jan 2018Journal:CoRR, volume abs/1802.00157Funded by:NSF | CIF: Small: Collaborative...
Authors: Oleg Kolosov; Alexander Barg; Itzhak Tamo; Gala Yadgar;

arXiv: 1802.00157

Optimal LRC codes for all lenghts n <= q

Abstract

A family of distance-optimal LRC codes from certain subcodes of $q$-ary Reed-Solomon codes, proposed by I.~Tamo and A.~Barg in 2014, assumes that the code length $n$ is a multiple of $r+1.$ By shortening codes from this family, we show that it is possible to lift this assumption, still obtaining distance-optimal codes.

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Keywords

Computer Science - Information Theory

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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!
0
Average
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Average
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