CONSTRUCTING SELF-DUAL CODES FROM GROUP RINGS AND REVERSE CIRCULANT MATRICES

Gildea Joe; Korban Adrian; Kaya Abidin; Yildiz Bahattin

首页> 外文期刊>Advances in mathematics of communications >CONSTRUCTING SELF-DUAL CODES FROM GROUP RINGS AND REVERSE CIRCULANT MATRICES

【24h】

CONSTRUCTING SELF-DUAL CODES FROM GROUP RINGS AND REVERSE CIRCULANT MATRICES

机译：从组环和反向循环矩阵构建自二元代码

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

In this work, we describe a construction for self-dual codes in which we employ group rings and reverse circulant matrices. By applying the construction directly over different alphabets, and by employing the well known extension and neighbor methods we were able to obtain extremal binary self-dual codes of different lengths of which some have parameters that were not known in the literature before. In particular, we constructed three new codes of length 64, twenty-two new codes of length 68, twelve new codes of length 80 and four new codes of length 92.

机译：None

著录项

来源
《Advances in mathematics of communications》 |2021年第3期|共15页
作者
Gildea Joe; Korban Adrian; Kaya Abidin; Yildiz Bahattin;
展开▼
作者单位

Univ Chester Dept Math &

Phys Sci Thornton Sci Pk Pool Ln Chester CH2 4NU Cheshire England;

Univ Chester Dept Math &

Phys Sci Thornton Sci Pk Pool Ln Chester CH2 4NU Cheshire England;

Sampoerna Univ Dept Engn Fundamentals Jakarta 12780 Indonesia;

No Arizona Univ Dept Math &

Stat Flagstaff AZ 86001 USA;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Group ring; extremal binary self-dual codes; codes over rings; reverse circulant matrices;

机译：组环;极值二进制自我双重代码;在环上的代码;反向循环矩阵;

相似文献

外文文献
中文文献
专利

1. On Self-dual and LCD Double Circulant Codes over a Non-chain Ring [J] . YAO Ting, ZHU Shixin, KAI Xiaoshan 电子学报（英文版） . 2019,第005期
2. On Self-dual and LCD Double Circulant Codes over a Non-chain Ring [J] . YAO Ting, ZHU Shixin, KAI Xiaoshan 中国电子杂志（英文版） . 2019,第005期
3. Using Normal Form of Idempotent Matrices over Finite Local Ring Z/pkZ to Construct Cartesian Authentication Codes [J] . 赵辉芳, 南基洙东北数学：英文版 . 2007,第002期
4. SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS [J] . 张光辉, 刘宏伟数学物理学报（英文版） . 2013,第006期
5. An altered four circulant construction for self-dual codes from group rings and new extremal binary self-dual codes I [J] . Gildea Joe, Kaya Abidin, Yildiz Bahattin Discrete mathematics . 2019,第12期

机译：来自组环的自二次代码的改变了四个循环结构，以及新的极值二进制自我双重代码I
6. Self-dual codes from circulant matrices [J] . S. D. Georgiou, E. Lappas Designs, Codes and Crytography . 2012,第1a2期

机译：来自循环矩阵的自对偶代码
7. New self-dual additive F-4-codes constructed from circulant graphs [J] . Grassl Markus, Harada Masaaki Discrete mathematics . 2017,第3期

机译：从循环图构建的新型自二次添加剂F-4代码
8. Classification of circulant and 4-circulant extremal additive self-dual codes [C] . T. Aaron Gulliver, Jon-Lark Kim IEEE International Symposium on Information Theory . 2002

机译：循环和4循环极值添加剂自二元码的分类
9. Construction of new self-dual codes and quantum codes and their connections. [D] . Kim, Jon-Lark. 2002

机译：构造新的自对偶代码和量子代码及其连接。
10. The spectral norms of geometric circulant matrices with the generalized k-Horadam numbers [O] . Baijuan Shi -1

机译：具有广义k-霍拉丹数的几何循环矩阵的谱范数
11. New self-dual additive $\mathbb{F}_4$-codes constructed from circulant graphs [O] . Grassl, Markus, Harada, Masaaki 2016

机译：新的自我双重添加剂$ \ mathbb {F} _4 $ - 由循环构造的代码图
12. A Linearized 3D Hybrid Code for Stability Studies of Field-Reversed Ion Rings [R] . Friedman, A., Sudan, R. N., Denavit, J. 1979

机译：场反转离子环稳定性研究的线性三维混合编码

CONSTRUCTING SELF-DUAL CODES FROM GROUP RINGS AND REVERSE CIRCULANT MATRICES

摘要

著录项

相似文献

相关主题

期刊订阅