The dual of a constacyclic code, self dual, reversible constacyclic codes and constacyclic codes with complementary duals over finite local Frobenius non-chain rings with nilpotency index 3

Castillo-Guillen C. A.; Renteria-Marquez C.; Sarmiento-Rosales E.; Tapia-Recillas H.; Villarreal R. H.

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The dual of a constacyclic code, self dual, reversible constacyclic codes and constacyclic codes with complementary duals over finite local Frobenius non-chain rings with nilpotency index 3

机译：芳基奇的代码，自我双重，可逆的芳基码代码和具有互补的双重的互补性双倍的芳基码，具有尼芯指数3

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摘要

Over finite local Frobenius non-chain rings with nilpotency index 3 and when the length of the codes is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of gamma-constacyclic codes is established and the algebraic characterization of self-dual gamma-constacyclic codes, reversible gamma-constacyclic codes and gamma-constacyclic codes with complementary dual are given. Generators for the dual code are obtained from those of the original constacyclic code. (C) 2019 Elsevier B.V. All rights reserved.

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来源
《Discrete mathematics》 |2019年第8期|共14页
作者
Castillo-Guillen C. A.; Renteria-Marquez C.; Sarmiento-Rosales E.; Tapia-Recillas H.; Villarreal R. H.;
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作者单位

Univ Bienestar Benito Juarez Garcia Dept Matemat Mexico City 13360 DF Mexico;

Inst Politecn Nacl Dept Matemat Escuela Super Fis &

Matemat Mexico City 07300 DF Mexico;

Inst Politecn Nacl Dept Matemat Escuela Super Fis &

Matemat Mexico City 07300 DF Mexico;

Univ Autonoma Metropolitana I Dept Matemat Mexico City 09340 DF Mexico;

IPN Dept Matemat Ctr Invest &

Estudios Avanzados Mexico City 07360 DF Mexico;

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原文格式 PDF
正文语种 eng
中图分类离散数学;
关键词
Chain rings; Complementary dual codes; Constacyclic codes; Frobenius rings; Reversible codes; Self-dual codes;

机译：链环;互补双码;芳香码;Frobenius戒指;可逆代码;自我双重代码;

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专利

1. The dual of a constacyclic code, self dual, reversible constacyclic codes and constacyclic codes with complementary duals over finite local Frobenius non-chain rings with nilpotency index 3 [J] . Castillo-Guillen C. A., Renteria-Marquez C., Sarmiento-Rosales E., Discrete mathematics . 2019,第8期

机译：芳基奇的代码，自我双重，可逆的芳基码代码和具有互补的双重的互补性双倍的芳基码，具有尼芯指数3
2. Constacyclic codes over finite local Frobenius non-chain rings with nilpotency index 3 [J] . Castillo-Guillen C. A., Renteria-Marquez C., Tapia-Recillas H. Finite fields and their applications . 2017,第jana期

机译：幂指数为3的有限局部Frobenius非链环上的恒循环码
3. SKEW CONSTACYCLIC CODES OVER THE LOCAL FROBENIUS NON-CHAIN RINGS OF ORDER 16 [J] . Aydin Nuh, Cengellenmis Yasemin, Dertli Abdullah, Advances in mathematics of communications . 2020,第1期

机译：在本地Frobenius非连锁订单16的偏斜芳基CODES
4. A special class of constacyclic codes over a non-chain ring [C] . Li-Qin Qian, Min-Jia Shi, Lin Sok, International Conference on Communication and Electronic Information Engineering . 2017

机译：在非连锁戒指上的一类特殊的芳基标代码
5. On Skew-Constacyclic Codes. [D] . Fogarty, Neville Lyons. 2016

机译：在偏恒定码上。
6. (1 + u)-Constacyclic codes over Z4 + uZ4 [O] . Haifeng Yu, Yu Wang, Minjia Shi -1

机译：（1 + u）-Z4 + uZ4上的恒定码
7. Skew constacyclic codes over a non-chain ring $${mathbb {F}}_{q}u,v/langle f(u),g(v), uv-vuangle $$ [O] . Swati Bhardwaj, Madhu Raka 2020

机译：在非连锁戒指上偏斜的圆形旋转码$$ { mathbb {f}} _ {q} u，v / legle f（u），g（v），uv-vu rangle $$

The dual of a constacyclic code, self dual, reversible constacyclic codes and constacyclic codes with complementary duals over finite local Frobenius non-chain rings with nilpotency index 3

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