Complete weight enumerators of some linear codes and their applications

Complete weight enumerators of some linear codes and their applications
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一些线性码的完整权重枚举器及其应用

DOI:
10.1007/s10623-015-0136-9
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发表时间:
2015-09
期刊:
Designs, Codes and Cryptography
影响因子:
--
通讯作者:
Zheng-An Yao
Zheng-An Yao
中科院分区:
其他
文献类型:
--
作者:
Chengju Li;Sunghan Bae;Jaehyun Ahn;Shudi Yang;Zheng-An Yao

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最近,由定义集构造的线性码已被广泛研究。研究表明,如果定义集选择得当,线性码可能具有少量非零重量或者是最优的。这些线性码的重量枚举式也……(原句最后“were al”似乎不完整)
Recently, linear codes constructed from defining sets have been extensively studied. It was shown that the linear codes may have a few nonzero weights or be optimal if the defining sets are well chosen. The weight enumerators of these linear codes were also presented. In this paper, we investigate the complete weight enumerators of some linear codes constructed from the defining sets. As applications, we employ the explicit complete weight enumerators of the linear codes to construct constant composition codes and systematic authentication codes. A new class of optimal constant composition codes and three classes of asymptotically optimal systematic authentication codes are presented.
DOI: --
发表时间: 2007
影响因子: 2.5
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期刊: --
影响因子: --
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影响因子: --
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