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Advances in Mathematics of Communications
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Advances in Mathematics of Communications
Article . 2010 . Peer-reviewed
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Article . 2010
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https://dx.doi.org/10.3934/amc...
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On linear equivalence and Phelps codes

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2010Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Advances in Mathematics of Communications, volume 4, pages 69-81 (issn: 1930-5346, eissn: 1930-5338, Copyright policy )
Authors: Olof Heden; Martin Hessler;

doi: 10.3934/amc.2010.4.69

On linear equivalence and Phelps codes

Abstract

It is shown that all non-full-rank FRH-codes, a class of perfect codes we define in this paper, are linearly equivalent to perfect codes obtainable by Phelps' construction. Moreover, it is shown by an example that the class of perfect FRH-codes also contains perfect codes that are not obtainable by Phelps construction.

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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!
1
Average
Top 10%
Average
gold