期刊论文

Luo, JQ

英文

DESIGNS CODES AND CRYPTOGRAPHY

0925-1022

2023

1-23

10.1007/s10623-023-01311-8

National Natural Science Foundation of China (Grant Nos. 12171191, 12271199, and 61977036), Hubei Provincial Science and Technology Innovation Base (Platform) Special Project 2020DFH002 (Grant No. 2020DFH002), Fundamental Research Funds for the Central Universities (Grant No. 30106220482).

本校为通讯机构

We study a new family of metrics, weighted poset block metric, which generalizes the weighted coordinates poset metric introduced by Panek and Pinheiro (IEEE Trans Inf Theory 66(11):6823–6834, 2020) and the metric for linear error-block codes introduced by Feng et al. (Finite Fields Appl 12(4):638–652, 2006). This metric covers various metrics such as Hamming metric, Lee metric, poset metric, pomset metric, poset block metric, pomset block metric and so on. We give a complete description of the groups of linear isometries of these metric spac...