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 Sarmiento | 1 | 16 | 3.00 |
Maria Vaz Pinto | 2 | 18 | 3.02 |
Rafael H. Villarreal | 3 | 75 | 15.69 |