Vanishing Ideals over Finite Fields

被引：2
|
作者：
Tochimani, A. [1 ]
Villarreal, R. H. [1 ]
机构：
[1] Natl Polytech Inst, Ctr Res & Adv Studies, Math Dept, Mexico City 07738, DF, Mexico
来源：
MATHEMATICAL NOTES | 2019年 / 105卷 / 3-4期
关键词：
vanishing ideal; rational parametrization; finite field; Reed-Muller-type code;
D O I：
10.1134/S0001434619030131
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let Fq be a finite field, let X be a subset of the projective space Ps-1 over Fq parametrized by rational functions, and let I((X)) be the vanishing ideal of X. The main result of this paper is a formula for I((X)) that will allow us to compute (i) the algebraic invariants of I((X)) and (ii) the basic parameters of the corresponding Reed-Muller-type code.
引用
收藏
页码：429 / 438
页数：10
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