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The minimum Hamming distances of repeated-root cyclic codes of length $$6p^s$$ and their MDS codes

Journal of Applied Mathematics and Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, Ying, Yue, Qin, Li, Fengwei
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Repeated Root Cyclic and Negacyclic Codes over Galois Rings

2009
In this notice we describe the ideal structure of all cases of cyclic and negacyclic codes of length p s over a Galois ring alphabet that have not yet been discussed in the literature. Unlike in the cases reported earlier in the literature by various authors, the ambient spaces here are never chain rings.
Sergio R. López-Permouth, Steve Szabo
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The Gray Map on GR(p 2, n) and Repeated-Root Cyclic Codes

2004
It is shown that the Gray map on \(\mathbb{Z}^n_{p^2}\), where p is a prime and n a positive integer, yields the same result as an appropriate extension of the well-known “(u|u+v)-construction”. It is also shown that, up to a permutation, which is a generalization of Nechaev’s permutation, the Gray image of certain \(\mathbb{Z}_{p^2}\)-codes of length ...
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New MDS symbol-pair codes of length 4p from repeated-root cyclic codes

Applicable Algebra in Engineering, Communication and Computing
Xiujing Zheng, Liqi Wang
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Repeated-root Cyclic Codes

open access: closed, 2005
Jianfa Qian
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