On the Dimension of Graph Codes with Reed–Solomon Component Codes

Peter  Beelen; Tom Høholdt; Fernando Pinero; Jørn Justesen

doi:10.1109/ISIT.2013.6620422

On the Dimension of Graph Codes with Reed–Solomon Component Codes

Peter Beelen, Tom Høholdt, Fernando Pinero, Jørn Justesen

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

We study a class of graph based codes with Reed-Solomon component codes as affine variety codes. We give a formulation of the exact dimension of graph codes in general. We give an algebraic description of these codes which makes the exact computation of the dimension of the graph codes easier.

Original language	English
Title of host publication	2013 IEEE International Symposium on Information Theory Proceedings (ISIT)
Publisher	IEEE
Publication date	2013
Pages	1227-1231
ISBN (Print)	978-1-4799-0446-4
DOIs	https://doi.org/10.1109/ISIT.2013.6620422
Publication status	Published - 2013
Event	2013 IEEE International Symposium on Information Theory - Istanbul, Turkey Duration: 7 Jul 2013 → 12 Jul 2013 http://www.isit2013.org/

Conference

Conference	2013 IEEE International Symposium on Information Theory
Country/Territory	Turkey
City	Istanbul
Period	07/07/2013 → 12/07/2013
Internet address	http://www.isit2013.org/

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10.1109/ISIT.2013.6620422

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title = "On the Dimension of Graph Codes with Reed–Solomon Component Codes",

abstract = "We study a class of graph based codes with Reed-Solomon component codes as affine variety codes. We give a formulation of the exact dimension of graph codes in general. We give an algebraic description of these codes which makes the exact computation of the dimension of the graph codes easier.",

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M3 - Article in proceedings

SN - 978-1-4799-0446-4

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On the Dimension of Graph Codes with Reed–Solomon Component Codes

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