Undetected error probability of q-ary constant weight codes
Undetected error probability of q-ary constant weight codes
复制标题
q元恒重码的未检测错误概率
DOI：
10.1007/s10623-007-9130-1
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发表时间：
2008-08-01
影响因子：
1.6
通讯作者：
Fu, Fang-Wei
中科院分区：
文献类型：
--
作者：
Xia, Shu-Tao;Fu, Fang-Wei
在本文中，我们引入了一种新的组合不变式，称为Q-binomial Monk，用于Q-ary恒定重量代码。我们在Q二元力矩上得出一个下限，并引入了一种称为广义（S，T） - 设计的新组合结构，该结构可以实现下限。此外，我们采用Q二项式矩来研究Q- ary恒定重量代码的未检测到的错误概率。获得了Q-ARY恒定重量代码未检测到的误差概率的下限。该下限扩展并统一了Abdel-Ghaffar在Q-Ary代码中的相关结果和二进制恒定重量代码的XIA-FU-LING。最后，找到了达到下限的一些Q- ary恒定重量代码。
In this paper, we introduce a new combinatorial invariant called q-binomial moment for q-ary constant weight codes. We derive a lower bound on the q-binomial moments and introduce a new combinatorial structure called generalized (s, t)-designs which could achieve the lower bounds. Moreover, we employ the q-binomial moments to study the undetected error probability of q-ary constant weight codes. A lower bound on the undetected error probability for q-ary constant weight codes is obtained. This lower bound extends and unifies the related results of Abdel-Ghaffar for q-ary codes and Xia-Fu-Ling for binary constant weight codes. Finally, some q-ary constant weight codes which achieve the lower bounds are found.