Name
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 | DOI | Venue |
|---|---|---|
2011 | 10.1007/s00200-011-0148-2 | Appl. Algebra Eng. Commun. Comput. |
Keywords | Field | DocType |
Complete intersections,Evaluation codes,Parameterized codes,Minimum distance,Degree,Regularity,Hilbert function,Primary 13P25,Secondary 14G50,14G15,11T71,94B27,94B05 | Discrete mathematics,Parameterized complexity,Combinatorics,Complete intersection,Hilbert series and Hilbert polynomial,Torus,Pencil (mathematics),Linear code,Quaternionic projective space,Mathematics,Projective space | Journal |
Volume | Issue | ISSN |
22 | 4 | Appl. Algebra Engrg. Comm. Comput. 22 (2011), no. 4, 249--264 |
Citations | PageRank | References |
12 | 0.95 | 8 |
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 |