当前位置: X-MOL 学术Discret. Math. › 论文详情
MacWilliams type identities for linear codes on certain pomsets: Chain, direct and ordinal sum of pomsets
Discrete Mathematics ( IF 0.770 ) Pub Date : 2020-01-07 , DOI: 10.1016/j.disc.2019.111782
Gnana Sudha Irrinki; Selvaraj R.S.

For codes over Zm, pomset metric is a generalization to poset metric, in some sense. We define pomset weight enumerator of a code C and establish MacWilliams type identities for linear codes with respect to certain pomsets. The identities for a particular type of linear codes (those that can be described as direct sum of linear codes) are established by considering direct and ordinal sum of pomsets on them. By induction, this result is extended for more than two pomsets. Moreover, MacWilliams type identities for any linear code with chain pomset is derived which paved a way to arrive at those identities for direct sum of codes with disjoint union of chains.

更新日期:2020-01-07

 

全部期刊列表>>
施普林格自然
欢迎访问IOP中国网站
GIANT
自然科研线上培训服务
ACS ES&T Engineering
自然职场线上招聘会
ACS ES&T Water
产业、创新与基础设施
材料学研究精选
胸腔和胸部成像专题
屿渡论文,编辑服务
何川
苏昭铭
陈刚
姜涛
李闯创
北大
刘立明
隐藏1h前已浏览文章
课题组网站
新版X-MOL期刊搜索和高级搜索功能介绍
ACS材料视界
天合科研
x-mol收录
上海纽约大学
曾林
天津大学
何振宇
史大永
吉林大学
卓春祥
张昊
杨中悦
试剂库存
down
wechat
bug