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Subfield-subcodes of Generalized Toric codes

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4 Author(s)
Fernando Hernando ; School of Mathematical Sciences, UCC, Ireland ; Michael E. O'Sullivan ; Emanuel Popovici ; Shraddha Srivastava

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:

2010 IEEE International Symposium on Information Theory

Date of Conference:

13-18 June 2010