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Subspace subcodes of Reed-Solomon codes

Hattori, Masayuki and McEliece, Robert J. and Lin, Wei (1994) Subspace subcodes of Reed-Solomon codes. In: Proceedings 1994 IEEE International Symposium on Information Theory : The Norwegian Institute of Technology, Trondheim, Norway, June 27 - July 1, 1994. IEEE , Piscataway, NJ, p. 430. ISBN 0780320158 http://resolver.caltech.edu/CaltechAUTHORS:HATisit94

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Abstract

A subspace subcode of a Reed-Solomon (SSRS) code over GF(2m) is the set of RS code-words, whose components all lie in a particular GF(2)-subspace of GF(2m). SSRS codes include both generalized BCH codes and “trace-shortened” RS codes as special cases. In this paper we present an explicit formula for the dimension of an arbitrary RS subspace subcode. Using this formula, we find that in many cases, SSRS codes are competitive with algebraic geometry codes, and that in some cases, the dimension of the best subspace subcode is larger than that of the corresponding GBCH code.


Item Type:Book Section
Related URLs:
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http://dx.doi.org/10.1109/ISIT.1994.395045DOIUNSPECIFIED
http://ieeexplore.ieee.org/search/wrapper.jsp?arnumber=395045PublisherUNSPECIFIED
Additional Information:© 1994 IEEE. Reprinted with permission. Wei Lin’s contribution, and a portion of Robert McEliece’s contribution, was supported by AFOSR grant no. F49620-94-1-005. A portion of McEliece’s contribution was done at the Jet Propulsion Laboratory, California Institute of Technology, under contract to the National Aeronautics and Space Administration. Masayuki Hattori’s contribution was sponsored by the Sony Corporation.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific ResearchF49620-94-1-005
Sony CorporationUNSPECIFIED
NASAUNSPECIFIED
Subject Keywords:BCH codes; Reed-Solomon codes
Record Number:CaltechAUTHORS:HATisit94
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:HATisit94
Official Citation:Hattori, M.; McEliece, R.J.; Wei Lin, "Subspace subcodes of Reed-Solomon codes," Information Theory, 1994. Proceedings., 1994 IEEE International Symposium on , vol., no., pp.430-, 27 Jun-1 Jul 1994 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=395045&isnumber=8959
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12294
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:14 Nov 2008 23:55
Last Modified:18 Sep 2014 18:34

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