On codes over Z_(2~3) and its covering radius for Lee weight and Homogeneous weight

P. Chella Pandian

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On codes over Z_(2~3) and its covering radius for Lee weight and Homogeneous weight

机译：关于Z_（2〜3）上的代码及其Lee权重和同质权重的覆盖半径

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摘要

In this paper, we give lower and upper bounds on the covering radius of codes over with respect to Lee weight and Homogeneous weight. We also determine the covering radius of various repetition codes and same, different size of block repetition codes over Z_(2~3).

机译：在本文中，我们针对李重和同质重给出了代码覆盖半径的上限和下限。我们还确定了各种重复码的覆盖半径以及在Z_（2〜3）上相同，不同大小的块重复码的覆盖半径。

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《Journal of Information & Optimization Sciences》 |2018年第8期|1705-1715|共11页
作者
P. Chella Pandian;
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作者单位

Department of Mathematics Srimad Andavan Arts and Science College (Auto.) Tiruchirappalli 620005 Tamilnadu India;

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原文格式 PDF
正文语种 eng
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关键词
Covering radius; Codes over finite rings; Generator matrix; Lee weight; Homogeneous weight;

机译：覆盖半径有限环上的代码;生成矩阵李重;均质重量;

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专利

1. On the packing radius and the covering radius of equal-weight codes [J] . Stephen D. Cohen, Nikolai N. Kuzjurin Discrete mathematics . 2000,第1a3期

机译：等重码的包装半径和覆盖半径
2. On Codes over $Z_{p^{s}}$ with the Extended Lee Weight [J] . Bahattin Y#305, ld#305, z, Filomat . 2016,第2期

机译：使用扩展Lee权重的$ Z_ {p ^ {s}} $以上的代码
3. Covering Radius of Binary Codes having Parity-check Matrices with Constant-weight Columns [J] . Morteza Esmaeili, Ali Zaghian Utilitas mathematica . 2008,第0期

机译：具有恒重列的具有奇偶校验矩阵的二进制代码的覆盖半径
4. On Generalized Hamming Weights and the Covering Radius of Linear Codes [C] . H. Janwa, A.K. Lai Applied Algebra, Algebraic Algorithms and Error-Correcting Codes . 2007

机译：广义汉明权重与线性码的覆盖半径
5. On p-adic estimates of weights in Abelian codes over Galois rings [D] . Katz, Daniel J. 2005

机译：关于Galois环上Abelian编码中权重的p-adic估计
6. Analysis of spleen focus-forming virus-specific RNA sequences coding for spleen focus-forming virus-specific glycoprotein with a molecular weight of 55000 (gp55). [O] . M Yoshida, H Yoshikura 1980

机译：分析脾脏形成病毒特异性RNA序列编码分子量为55000（gp55）的脾脏形成病毒特异性糖蛋白。
7. Weight Distribution of Translates, Covering Radius, and Perfect Codes Correcting Errors of Given Weights [O] . Mark Karpovsky 1981

机译：翻译的权重分布，覆盖半径和纠正给定权重错误的完美代码

On codes over Z_(2~3) and its covering radius for Lee weight and Homogeneous weight

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