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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, 2020zbMATH 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
2009In 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
2004It 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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Repeated-Root Cyclic and Negacyclic Codes of Length 6𝑝^{𝑠}
Hai Q. Dinh
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New MDS symbol-pair codes of length 4p from repeated-root cyclic codes
Applicable Algebra in Engineering, Communication and ComputingXiujing Zheng, Liqi Wang
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