Z_p^2线性码的支重量及其广义Plotkin界  

Support weights of Z_p^2 linear codes and the generalized Plotkin bound

作　　者：唐永生[1] 朱士信[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2009年第7期1109-1112,共4页Journal of Hefei University of Technology：Natural Science

基　　金：合肥工业大学科研发展基金资助项目(081003f)

摘　　要：首先定义了环Zp2上线性码的不同型的子码,然后建立了环Zp2上线性码的不同类型子码的个数计数公式,并且给出了环Zp2上任一线性码的子码的齐次重量与其支重量之间的关系,进而得到了环Zp2上任一线性码的支重量与其子码的支重量之间的关系;最后给出了Zp2线性码的广义齐次重量的Plotkin界。The paper first defines different type subcodes of a linear code over Zp2, then constructs the counting formulas of different type subcodes of a linear code over Zp2 and gives the relationship between the homogenous weight and support weight of a subcode of any linear code over Zp2. Furthermore, the relationship between support weights of linear codes over Zp2 and their subcodes is obtained. At last, the Plotkin bound for the generalized homogenous weights of linear codes over Zp2 is given.

关 键 词：线性码 子码 支重量 齐次重量 广义Plotkin界 

分 类 号：O157.4[理学—数学]