Parameterized affine codes
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2011
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911771483176960 |
|---|---|
| author | Lopez, Hiram H. Sarmiento, Eliseo Pinto, Maria Vaz Villarreal, Rafael H. |
| author_facet | Lopez, Hiram H. Sarmiento, Eliseo Pinto, Maria Vaz Villarreal, Rafael H. |
| contents | Let K be a finite field and let X* be an affine algebraic toric set parameterized by monomials. We give an algebraic method, using Groebner bases, to compute the length and the dimension of C_X*(d), the parameterized affine code of degree d on the set X*. If Y is the projective closure of X*, it is shown that C_X^*(d) has the same basic parameters that C_Y(d), the parameterized projective code on the set Y. If X* is an affine torus, we compute the basic parameters of C_X*(d). We show how to compute the vanishing ideals of X* and Y. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1109_2353 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | Parameterized affine codes Lopez, Hiram H. Sarmiento, Eliseo Pinto, Maria Vaz Villarreal, Rafael H. Commutative Algebra Algebraic Geometry 13P25, 14G50, 94B27 Let K be a finite field and let X* be an affine algebraic toric set parameterized by monomials. We give an algebraic method, using Groebner bases, to compute the length and the dimension of C_X*(d), the parameterized affine code of degree d on the set X*. If Y is the projective closure of X*, it is shown that C_X^*(d) has the same basic parameters that C_Y(d), the parameterized projective code on the set Y. If X* is an affine torus, we compute the basic parameters of C_X*(d). We show how to compute the vanishing ideals of X* and Y. |
| title | Parameterized affine codes |
| topic | Commutative Algebra Algebraic Geometry 13P25, 14G50, 94B27 |
| url | https://arxiv.org/abs/1109.2353 |