TY - JOUR
T1 - Minimum distance of some evaluation codes
AU - Sarabia, Manuel González
AU - Márquez, Carlos Rentería
AU - Hernández, Antonio J.Sánchez
N1 - Funding Information:
The first two authors are partially supported by SNI-SEP and COFAA-IPN. The third author is partially supported by CONACyT-MEXICO.
PY - 2013/6
Y1 - 2013/6
N2 - Evaluation codes have been studied since some years ago. At the very beginning they were called projective Reed-Muller type codes and their main parameters (length, dimension and minimum distance) were computed in several particular cases. In fact, the length and dimension of the evaluation codes arising from a complete intersection are known. In this paper we will calculate the minimum distance of some evaluation codes associated to a subset of the projective space that is a complete intersection. These codes are a generalization of the evaluation codes associated to a projective torus which are called generalized projective Reed-Solomon codes.
AB - Evaluation codes have been studied since some years ago. At the very beginning they were called projective Reed-Muller type codes and their main parameters (length, dimension and minimum distance) were computed in several particular cases. In fact, the length and dimension of the evaluation codes arising from a complete intersection are known. In this paper we will calculate the minimum distance of some evaluation codes associated to a subset of the projective space that is a complete intersection. These codes are a generalization of the evaluation codes associated to a projective torus which are called generalized projective Reed-Solomon codes.
KW - Complete intersection
KW - Evaluation code
KW - Minimum distance
KW - Projective space
UR - http://www.scopus.com/inward/record.url?scp=84878959380&partnerID=8YFLogxK
U2 - 10.1007/s00200-013-0184-1
DO - 10.1007/s00200-013-0184-1
M3 - Artículo
AN - SCOPUS:84878959380
SN - 0938-1279
VL - 24
SP - 95
EP - 106
JO - Applicable Algebra in Engineering, Communications and Computing
JF - Applicable Algebra in Engineering, Communications and Computing
IS - 2
ER -