Cubic Residue Codes over the Field F<sub>2</sub>

ZHU Shi-xin; CHEN An-shun

您当前的位置：

首页 >

文章列表页 >

Cubic Residue Codes over the Field F₂

更新时间：2025-07-16

- Cubic Residue Codes over the Field F₂
- Acta Electronica Sinica Vol. 36, Issue 12, Pages: 2312-2314(2008)
- 作者机构：
  
  1. 合肥工业大学数学系,安徽,合肥,230009
  2. 滁州学院,安徽,滁州,239012
  3. 合肥工业大学数学系安徽合肥,230009
  4. 滁州学院安徽滁州,239012
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.22
- Published Online：25 December 2008，
  
  Published：2008
- 稿件说明：
移动端阅览
ZHU Shi-xin, CHEN An-shun. Cubic Residue Codes over the Field F₂[J]. Acta Electronica Sinica, 2008, 36(12): 2312-2314.
DOI：

ZHU Shi-xin, CHEN An-shun. Cubic Residue Codes over the Field F₂[J]. Acta Electronica Sinica, 2008, 36(12): 2312-2314. DOI：

摘要

对于某个奇素数p

我们给出了判断2是

mod

p的三次剩余的一个引理

由此引理

我们定义了有限域F2上的6种三次剩余码;研究了6种三次剩余码之间的关系

得出了三次剩余码的码长、重量特征和极小汉明距离范围;最后给出了三次剩余码的对偶码的生成多项式

以及在选择适当的p次本原单位根的情况下

给出了它的生成幂等多项式.

Abstract

For any odd prime

we give a lemma which is determined when 2 is a cubic residue modulo

. Using it

we define the notion of six cubic-residue codes over F

.We discuss the relations between six codes

and study the length of cubic-residue codes

character of weight and the bound of the minimum Hamming distance.We finally give the generator polynomials of dual codes

and the generating idempotents of cubic-residue code when choose the appropriate primitive p root of unity.

关键词

Keywords

references

Views

955

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

One‑Weight Z_pZ_p[u]‑Additive Codes

Dual-Containing Determination Method for Non-Primitive BCH Codes over Finite Field

MacWilliams Identities of Linear Codes over Non-principal ideal Ring F_-p+vF_-p

Constacyclic Self-Dual Codes over Ring F₂+uF₂+…+u^k-1F₂

Related Author

SHI Min-jia

LI Tian-tian

TENG Ao

WU Bo

XIAO Fang-ying

CHEN Han-wu

LIU Zhi-hao

LI Zhi-qiang

Related Institution

School of Mathematical Sciences of Anhui University

SKLOIS, Institute of Information Engineering, CAS

School of Cyber Security, University of Chinese Academy of Sciences

School of Computer Science and Engineering, Southeast University

College of Information Engineering,Yangzhou University

⁰

Cubic Residue Codes over the Field F2

DOI：

摘要

Abstract

关键词

Keywords

references

Cubic Residue Codes over the Field F₂