Title
Affine cartesian codes
Abstract
We compute the basic parameters (dimension, length, minimum distance) of affine evaluation codes defined on a cartesian product of finite sets. Given a sequence of positive integers, we construct an evaluation code, over a degenerate torus, with prescribed parameters of a certain type. As an application of our results, we recover the formulas for the minimum distance of various families of evaluation codes.
Year
DOI
Venue
2012
10.1007/s10623-012-9714-2
Des. Codes Cryptography
Keywords
DocType
Volume
Evaluation codes,Minimum distance,Complete intersections,Vanishing ideals,Degree,Regularity,Hilbert function,Algebraic invariants,13P25,14G50,94B27,11T71
Journal
71
Issue
ISSN
Citations 
1
0925-1022
5
PageRank 
References 
Authors
0.56
10
3
Name
Order
Citations
PageRank
Hiram H. López1204.81
Carlos Rentería-Márquez2274.55
Rafael H. Villarreal37515.69