Error-correcting codes on low rank surfaces

被引：11

作者：

Zarzar, Marcos ^{[1
]}

机构：

[1] Univ Texas, Dept Math, Austin, TX 78712 USA

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2007年 / 13卷 / 04期

关键词：

error-correcting codes; Algebraic geometric codes; Weil restriction of scalars; Algebraic surfaces;

D O I：

10.1016/j.ffa.2007.05.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we construct some algebraic geometric error-correcting codes on surfaces whose Neron-Severi group has low rank. If the Neron-Severi group is generated by an effective divisor, the intersection of this surface with an irreducible surface of lower degree will be an irreducible curve, and this makes possible the construction of codes with good parameters. Such surfaces are not easy to find, but we are able to find surfaces with low rank, and those will give us good codes too. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：727 / 737

页数：11

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