DocumentCode :
3069195
Title :
Subfield-subcodes of Generalized Toric codes
Author :
Hernando, Fernando ; O´Sullivan, Michael E. ; Popovici, Emanuel ; Srivastava, Shraddha
Author_Institution :
Sch. of Math. Sci., UCC, Cork, Ireland
fYear :
2010
fDate :
13-18 June 2010
Firstpage :
1125
Lastpage :
1129
Abstract :
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.
Keywords :
BCH codes; Reed-Solomon codes; binary codes; ternary codes; BCH codes; GT codes; RS codes; binary codes; generalized Reed-Solomon codes; generalized toric codes; multidimensional analogues; polynomial generators; subfield-subcodes; ternary codes; Algebra; Geometry; Lattices; Linear code; Mathematics; Microelectronics; Multidimensional systems; Reed-Solomon codes; Statistics; User-generated content;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on
Conference_Location :
Austin, TX
Print_ISBN :
978-1-4244-7890-3
Electronic_ISBN :
978-1-4244-7891-0
Type :
conf
DOI :
10.1109/ISIT.2010.5513688
Filename :
5513688
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3069195
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