A Generalized Construction and Improvements on Nonbinary Codes From Goppa Codes

被引：4

作者：

Tomlinson, Martin ^{[1
]}

Jibril, Mubarak ^{[1
]}

Tjhai, Cen ^{[1
]}

Bezzateev, Sergey V. ^{[3
]}

Grassl, Markus ^{[2
]}

Ahmed, Mohammed Zaki ^{[1
]}

机构：

[1] Univ Plymouth, Sch Comp & Math, Plymouth PL4 8AA, Devon, England

[2] Natl Univ Singapore, Ctr Quantum Technol, Singapore 117543, Singapore

[3] St Petersburg State Univ Aerosp Instrumentat, Dept Technol Informat Secur, St Petersburg 190000, Russia

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2013年 / 59卷 / 11期

关键词：

Goppa; BCH; Reed-Solomon; error correction; BINARY-CODES;

D O I：

10.1109/TIT.2013.2276626

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present an efficient construction of extended length Goppa codes. Using this construction, we obtain 78 new nonbinary codes with better minimum distance than the previously known codes with the same length and dimension. The construction is based on the observation that certain Goppa codes can be seen as BCH codes.

引用

页码：7299 / 7304

页数：6

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