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Constructions of Codes with Weighted Poset Block Metrics

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成果类型:
期刊论文
作者:
Ma, Wen;Luo, Jinquan
通讯作者:
Luo, JQ
作者机构:
[Ma, Wen] Nanjing Forestry Univ, Sch Sci, Nanjing 210037, Jiangsu, Peoples R China.
[Luo, Jinquan] Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China.
[Luo, Jinquan] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan, Peoples R China.
通讯机构:
[Luo, JQ ] C
Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China.
Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan, Peoples R China.
语种:
英文
关键词:
Weighted poset block metric;Order ideal;Covering radius;Packing radius
期刊:
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS
ISSN:
0167-8094
年:
2024
页码:
1-23
基金类别:
National Natural Science Foundation of China (Nos. 12171191, 12271199) and self-determined research funds of CCNU from the colleges’ basic research and operation of MOE (no. CCNU22JC001).
机构署名:
本校为通讯机构
院系归属:
数学与统计学学院
摘要:
Weighted poset block metric is a generalization of two types of metrics: one is weighted poset metric introduced by Panek and Pinheiro (2010) and the other is metric for linear error-block codes introduced by Feng and Hickernell (2006). This type of metrics includes many classical metrics such as Hamming metric, Lee metric, poset metric, pomset metric, poset block metric, pomset block metric and so on. In this work, we focus on constructing new codes under weighted poset block metric from given ones. Some basic properti...

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