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Subfield-subcodes of Generalized Toric codes

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4 Author(s)
Hernando, F. ; Sch. of Math. Sci., UCC, Cork, Ireland ; O'Sullivan, M.E. ; Popovici, E. ; Srivastava, S.

We study subfield-subcodes of Generalized Toric (GT) codes over Fps. These are the multidimensional analogues of BCH codes, which may be seen as subfield-subcodes of generalized Reed-Solomon codes. We identify polynomial generators for subfield-subcodes of GT codes which allows us to determine the dimensions and obtain bounds for the minimum distance. We give several examples of binary and ternary subfield-subcodes of GT codes that are the best known codes of a given dimension and length.

Published in:
Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on

Date of Conference: 13-18 June 2010

Page(s):
1125 - 1129
E-ISBN :
978-1-4244-7891-0
Print ISBN:
978-1-4244-7890-3
INSPEC Accession Number:
11445879
Conference Location :
Austin, TX
Digital Object Identifier :
10.1109/ISIT.2010.5513688
Product Type:
Conference Publications

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