A New Subclass of Alternant Codes Can Meet the Gilbert-Varshamov Bound

FAN Ji-hao; CHEN Han-wu

doi:10.3969/j.issn.0372-2112.2015.11.016

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A New Subclass of Alternant Codes Can Meet the Gilbert-Varshamov Bound

更新时间：2025-07-16

- A New Subclass of Alternant Codes Can Meet the Gilbert-Varshamov Bound
- Acta Electronica Sinica Vol. 43, Issue 11, Pages: 2243-2246(2015)
- 作者机构：
  
  1. 东南大学计算机科学与工程学院,江苏,南京,211189
  2. 东南大学计算机网络和信息集成教育部重点实验室,江苏,南京,211189
  3. 东南大学计算机科学与工程学院,江苏,南京,211189
  4. 东南大学计算机网络和信息集成教育部重点实验室,江苏,南京,211189
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61170321);Research Fund for the Doctoral Program of Higher Education of China (No.20110092110024);Graduate Research Innovation Program of univerities in Jiangsu Province (No.CXZZ13_0105)
- DOI：10.3969/j.issn.0372-2112.2015.11.016
  CLC： TN911.22
- Published：2015
- 稿件说明：
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FAN Ji-hao, CHEN Han-wu. A New Subclass of Alternant Codes Can Meet the Gilbert-Varshamov Bound[J]. Acta Electronica Sinica, 2015, 43(11): 2243-2246.
DOI：

FAN Ji-hao, CHEN Han-wu. A New Subclass of Alternant Codes Can Meet the Gilbert-Varshamov Bound[J]. Acta Electronica Sinica, 2015, 43(11): 2243-2246. DOI： 10.3969/j.issn.0372-2112.2015.11.016.

摘要

本文基于Maximum Distance Separable(MDS)码的Hamming重量分布提出一类新的二元Alternant子类码.分析表明这类新的子类码包含整个BCH码类

并且可以渐进达到Gilbert-Varshamov(GV)界.

Abstract

A new subclass of binary Alternant codes is proposed based on the Hamming weight distribution of Maximum Distance Separable(MDS) codes.It is shown that the new codes include the whole BCH codes subclass and can asymptotically meet the Gilbert-Varshamov(GV) bound.

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