On the Kronecker Product Construction of Completely Transitive q-Ary Codes

机译：关于克朗克公司的完全Q-ary代码的产品建设

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摘要

For any integer ρ ≥ 1 and for any prime power q, the explicit construction of an infinite family of completely transitive (and completely regular) q-ary codes with minimum distance d = 3 and with covering radius ρ is given.

机译：对于任何整数ρ≥1和任何主要功率Q，给出了具有最小距离D = 3和覆盖半径ρ的完全传递（和完全常规）Q-ary码的明确构造。

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来源
《International Castle Meeting on Coding Theory and Applications》|2008年||共8页
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作者
Josep Rifa; Victor Zinoviev;
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原文格式 PDF
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中图分类 TP3-53;
关键词
Completely regular codes; Completely transitive codes; Covering radius; Kronecker product;

机译：完全正规代码;完全传递的代码;覆盖半径;克朗克德产品;

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2. Families of completely transitive codes and distance transitive graphs [J] . J. Borges, J. Rifà, V.A. Zinoviev Discrete mathematics . 2014,第Null期

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3. On completely regular and completely transitive supplementary codes [J] . Discrete mathematics . 2020,第3期

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4. On the Kronecker Product Construction of Completely Transitive q-Ary Codes [C] . Josep Rifa, Victor Zinoviev Coding Theory and Applications . 2008

机译：关于完全传递q-Ary码的Kronecker积构造
5. The weight hierarchies of product codes and outer product codes [D] . Park, Jeng Yune. 1999

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7. New completely regular q-ary codes based on 1 Kronecker products [O] . J. Rifà, V. A. Zinoviev 2010

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8. Some Codes Which Are Invarient under a Doubly-Transitive Permutation Group and Their Connection with Balanced Incomplete Block Designs [R] . Kasami, T., Lin, S. 1966

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On the Kronecker Product Construction of Completely Transitive q-Ary Codes

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