Hanani triple packings and optimal -ary codes of constant weight three

Chee Yeow Meng; Ge Gennian; Zhang Hui; Zhang Xiande

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Hanani triple packings and optimal -ary codes of constant weight three

机译：哈尼（Hanani）三重填料和恒重的最佳三元代号

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摘要

The exact sizes of optimal -ary codes of length , constant weight and distance have only been determined for , and for and sufficiently large. We completely determine the exact size of optimal -ary codes of constant weight three and minimum distance five for all by establishing a connection with Hanani triple packings, and settling their existence.

机译：长度，恒定重量和距离的最佳二进制代码的确切大小仅针对，和确定，并且足够大。通过与Hanani三重包装建立联系并解决它们的存在，我们为所有恒重3和最小距离5的最优ary码完全确定了确切的尺寸。

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来源
《Designs, Codes and Crytography》 |2015年第3期|387-403|共17页
作者
Chee Yeow Meng; Ge Gennian; Zhang Hui; Zhang Xiande;
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作者单位

Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore;

Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China|Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China;

Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore|Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China;

Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Constant-weight codes; Hanani triple packings; Hanani triple systems; Resolvable designs;

机译：恒重代码;Hanani三重填料;Hanani三重系统;可解析的设计;

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Hanani triple packings and optimal -ary codes of constant weight three

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