CONSTRUCTION OF GLOBAL FUNCTION FIELDS FROM LINEAR CODES AND VICE VERSA

被引：0

作者：

Xing, Chaoping ^{[1
]}

Yeo, Sze Ling ^{[2
]}

机构：

[1] Nanyang Technol Univ, Sch Phys & Math Sci, Singapore 637616, Singapore

[2] I2R, SSD, Singapore 119613, Singapore

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 361卷 / 03期

关键词：

ALGEBRAIC-GEOMETRY CODES; RATIONAL-POINTS; FINITE-FIELDS; CURVES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a new connection between linear codes and global function fields, which in turn allows us to construct new global function fields with improved lower bounds on the number of rational places. The genus and number of rational places of subfields of certain families of cyclotomic function fields are given as well.

引用

页码：1333 / 1349

页数：17

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