Lower bound on minimum Lee distance of algebraic-geometric codes over finite fields

X.-W. Wu; M. Kuijper; P. Udaya

首页> 外文期刊>Electronics Letters >Lower bound on minimum Lee distance of algebraic-geometric codes over finite fields

【24h】

Lower bound on minimum Lee distance of algebraic-geometric codes over finite fields

机译：有限域上代数几何代码的最小Lee距离的下限

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

Algebraic-geometric (AG) codes over finite fields with respect to the Lee metric have been studied. A lower bound on the minimum Lee distance is derived, which is a Lee-metric version of the well-known Goppa bound on the minimum Hamming distance of AG codes. The bound generalises a lower bound on the minimum Lee distance of Lee-metric BCH and Reed-Solomon codes, which have been successfully used for protecting against bitshift and synchronisation errors in constrained channels and for error control in partial-response channels.

机译：已经研究了关于Lee度量的有限域上的代数几何（AG）代码。得出最小Lee距离的下界，这是在AG码的最小汉明距离上界的著名Goppa的Lee度量版本。该界限概括了Lee-metric BCH和Reed-Solomon码的最小Lee距离的下限，这些最小距离已成功用于防止受限信道中的位偏移和同步错误以及部分响应信道中的错误控制。

著录项

来源
《Electronics Letters》 |2007年第15期|p.820-822|共3页
作者
X.-W. Wu; M. Kuijper; P. Udaya;
展开▼
作者单位

School of Information Technology and Mathematical Sciences, University of Ballarat, VIC 3353, Australia;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类无线电电子学、电信技术;
关键词

相似文献

外文文献
中文文献
专利

1. A minimum distance bound for 2-dimension A-quasi-twisted codes over finite fields [J] . Lv Jingjie, Gao Jian Finite fields and their applications . 2018,第MAY期

机译：有限域上二维A拟扭码的最小距离限制
2. On some bounds on the minimum distance of cyclic codes over finite fields [J] . Ozbudak Ferruh, Tutdere Seher, Yayla Oguz Designs, Codes and Crytography . 2015,第2期

机译：有限域上循环码最小距离的某些界
3. Lower bounds on the minimum distance of long codes in the Lee metric [J] . Hugues Randriam, Lin Sok, Patrick Sole Designs, Codes and Crytography . 2015,第2期

机译：Lee度量中长码的最小距离的下限
4. A Simplified Lower Bound on Minimum Distance of Convolutional Polar Codes [C] . Ruslan Morozov International Symposium "Problems of Redundancy in Information and Control Systems" . 2019

机译：卷积极坐标码最小距离的简化下界
5. High code rate, low-density parity-check codes with guaranteed minimum distance and stopping weight. [D] . Miller, John Andrew. 2003

机译：高码率，低密度奇偶校验码，保证最小距离和停止重量。
6. Close lower and upper bounds for the minimum reticulate network of multiple phylogenetic trees [O] . Yufeng Wu -1

机译：封闭上下限以获得多个系统树的最小网状网络
7. LOWER BOUNDS ON THE MINIMUM DISTANCE OF LONG CODES IN THE LEE METRIC [O] . Hugues Randriam, Lin Sok, Patrick Solé 2016

机译：关于LEE mETRIC中长代码最小距离的下限

Lower bound on minimum Lee distance of algebraic-geometric codes over finite fields

摘要

著录项

相似文献

相关主题

期刊订阅