Title
Minimum distance of some evaluation codes.
Abstract
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.
Year
DOI
Venue
2013
10.1007/s00200-013-0184-1
Appl. Algebra Eng. Commun. Comput.
Keywords
Field
DocType
Evaluation code,Projective space,Minimum distance,Complete intersection,94B27,94B60
Hamming code,Discrete mathematics,Blocking set,Combinatorics,Complete intersection,Block code,Expander code,Complex projective space,Linear code,Mathematics,Projective space
Journal
Volume
Issue
ISSN
24
2
0938-1279
Citations 
PageRank 
References 
3
0.45
11
Authors
3