A minimum distance bound for 2-dimension A-quasi-twisted codes over finite fields

Lv Jingjie; Gao Jian

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A minimum distance bound for 2-dimension A-quasi-twisted codes over finite fields

机译：有限域上二维A拟扭码的最小距离限制

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摘要

We provide a concatenated structure for 2-dimension lambda-quasi twisted (lambda-Q2DT) codes over F-q, which is a generalization of the concatenated structure for 2-dimension quasi cyclic (Q2DC) codes. Further, by trace representations of lambda-constacyclic codes, lambda-quasi-twisted codes, 2-dimension lambda-constacyclic codes and lambda-Q2DT codes, we obtain a general lower bound of the minimum distance for lambda-Q2DT codes of length mlk, where m, l and k are relatively prime to q. (C) 2018 Elsevier Inc. All rights reserved.

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来源
《Finite fields and their applications》 |2018年第5期|146-167|共22页
作者
Lv Jingjie; Gao Jian;
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作者单位

Shandong Univ Technol, Sch Math & Stat, Zibo 255091, Peoples R China;

Shandong Univ Technol, Sch Math & Stat, Zibo 255091, Peoples R China;

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原文格式 PDF
正文语种 eng
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关键词
2-dimension lambda-quasi-twisted codes; Constituent codes; Trace representations; Concatenated structure;

机译：二维λ拟扭码;成分码;痕迹表示;级联结构;

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A minimum distance bound for 2-dimension A-quasi-twisted codes over finite fields

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