Title
The minimum distance of parameterized codes of complete intersection vanishing ideals over finite fields
Abstract
Let X be a subset of a projective space, over a finite field K, which is parameterized by the monomials arising from the edges of a clutter. Let I(X) be the vanishing ideal of X. It is shown that I(X) is a complete intersection if and only if X is a projective torus. In this case we determine the minimum distance of any parameterized linear code arising from X.
Year
Venue
Keywords
2010
Clinical Orthopaedics and Related Research
linear code,projective space,finite field,complete intersection
Field
DocType
Volume
Discrete mathematics,Parameterized complexity,Finite field,Finite intersection property,Complete intersection,Mathematics,Projective space
Journal
abs/1009.4
Citations 
PageRank 
References 
1
0.49
2
Authors
3
Name
Order
Citations
PageRank
Eliseo Sarmiento1163.00
Maria Vaz Pinto2183.02
Rafael H. Villarreal37515.69