TY - GEN
T1 - Subfield-subcodes of Generalized Toric codes
AU - Hernando, Fernando
AU - O'Sullivan, Michael E.
AU - Popovici, Emanuel
AU - Srivastava, Shraddha
PY - 2010
Y1 - 2010
N2 - We study subfield-subcodes of Generalized Toric (GT) codes over F ps. These are the multidimensional analogues of BCH codes, which may be seen as subfield-subcodes of generalized Reed-Solomon codes [2], [3], [6], [10], [11]. 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.
AB - We study subfield-subcodes of Generalized Toric (GT) codes over F ps. These are the multidimensional analogues of BCH codes, which may be seen as subfield-subcodes of generalized Reed-Solomon codes [2], [3], [6], [10], [11]. 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.
UR - https://www.scopus.com/pages/publications/77955698175
U2 - 10.1109/ISIT.2010.5513688
DO - 10.1109/ISIT.2010.5513688
M3 - Conference proceeding
AN - SCOPUS:77955698175
SN - 9781424469604
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1125
EP - 1129
BT - 2010 IEEE International Symposium on Information Theory, ISIT 2010 - Proceedings
T2 - 2010 IEEE International Symposium on Information Theory, ISIT 2010
Y2 - 13 June 2010 through 18 June 2010
ER -