Complete weight enumerators of a family of three-weight linear codes

Complete weight enumerators of a family of three-weight linear codes
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三权重线性码系列的完整权重枚举器

DOI:
10.1007/s10623-016-0191-x
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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:
Shudi Yang;Zheng-An Yao

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线性码一直是理论和实践中的一个有趣的课题。对奇素数,本文给出了用定义集构造的p元线性码族的显式完全重量计数器。权枚举数是完全权枚举数的直接结果,这表明本文提出的码是三权线性码。此外,所有非零码字都是最小的,因此它们适合于秘密共享。
Linear codes have been an interesting topic in both theory and practice for many years. In this paper, for an odd primep, we present the explicit complete weight enumerator of a family ofp-ary linear codes constructed with defining set. The weight enumerator is an immediate result of the complete weight enumerator, which shows that the codes proposed in this paper are three-weight linear codes. Additionally, all nonzero codewords are minimal and thus they are suitable for secret sharing.
一些线性码的完整权重枚举器及其应用
DOI: 10.1007/s10623-015-0136-9
发表时间: 2015-09
期刊: Designs, Codes and Cryptography
影响因子: --
作者:
Chengju Li;Sunghan Bae;Jaehyun Ahn;Shudi Yang;Zheng-An Yao
通讯作者: Zheng-An Yao
DOI: 10.1007/3-540-31703-1_3
发表时间: 2018-10
期刊: Series and Products in the Development of Mathematics
影响因子: --
作者:
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DOI: 10.1109/tit.2015.2473861
发表时间: 2015-03
影响因子: 2.5
作者:
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通讯作者: Kelan Ding;C. Ding
DOI: 10.1016/j.disc.2015.02.005
发表时间: 2015-07
期刊: Discret. Math.
影响因子: --
作者:
Dabin Zheng;Xiaoqiang Wang;Long Yu;Hongwei Liu
通讯作者: Dabin Zheng;Xiaoqiang Wang;Long Yu;Hongwei Liu
DOI: 10.1016/j.disc.2015.09.001
发表时间: 2016-02
期刊: Discret. Math.
影响因子: --
作者:
C. Ding;Chunlei Li;Nian Li;Zhengchun Zhou
通讯作者: C. Ding;Chunlei Li;Nian Li;Zhengchun Zhou