Application of Constacyclic Codes Over the Semi Local Ring \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${F_{{p^m}}} + v{F_{{p^m}}}$$\end{document}

被引：0
作者：
Tushar Bag
Abdullah Dertli
Yasemin Cengellenmis
Ashish K. Upadhyay
机构：
[1] Indian Institute of Technology Patna,Department of Mathematics
[2] Ondokuz Mayis University,Mathematics Department
[3] Faculty of Arts and Sciences,Mathematics Department
[4] Trakya University,undefined
[5] Faculty of Sciences,undefined
来源：
Indian Journal of Pure and Applied Mathematics | 2020年 / 51卷 / 1期
关键词：
Gray map; cyclic code; negacyclic code; constacyclic codes; quantum codes; 94B05; 94B15; 94B60;
D O I：
10.1007/s13226-020-0399-3
中图分类号：
学科分类号：
摘要：
In this paper, we study the quantum codes over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${F_{{p^m}}}$$\end{document}, which are obtained from (λ1 + λ2)-constacyclic codes over the semi local ring \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${F_{{p^m}}} + v{F_{{p^m}}}$$\end{document}, where v2 = 1, p is odd prime. We decompose a (λ1 + λ2)-constacyclic code over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${F_{{p^m}}} + v{F_{{p^m}}}$$\end{document} into two constacyclic codes over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${F_{{p^m}}}$$\end{document} such as (λ1 + λ2)-constacyclic and (λ1–λ2)-constacyclic. We give the necessary and sufficient condition that the (λ1 + vλ2)-constacyclic codes over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${F_{{p^m}}} + v{F_{{p^m}}}$$\end{document} contain their duals. We give some examples of non binary quantum codes.
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收藏
页码：265 / 275
页数：10
相关论文
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