On matrix-product structure of repeated-root constacyclic codes over finite fields
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Publication:2297724
DOI10.1016/j.disc.2019.111768zbMath1442.94058arXiv1705.08819OpenAlexW2998120784MaRDI QIDQ2297724
Paravee Maneejuk, Yuan Cao, Yong-Lin Cao, Fang-Wei Fu, Hai Quang Dinh
Publication date: 20 February 2020
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.08819
Related Items (11)
Constacyclic codes of length \(8p^s\) over \(\mathbb{F}_{p^m} + u\mathbb{F}_{p^m}\) ⋮ On \(\mathbb{F}_2 RS\)-cyclic codes and their applications in constructing optimal codes ⋮ On constacyclic codes of length \(p^s\) over \(\mathbb{F}_{p^m} [ u , v \slash \langle u^2 , v^2 , u v - v u \rangle \)] ⋮ On the structure of repeated-root polycyclic codes over local rings ⋮ New quantum codes from matrix-product codes over small fields ⋮ Optimal constructions of quantum and synchronizable codes from repeated-root cyclic codes of length \(3p^s\) ⋮ MDS constacyclic codes of prime power lengths over finite fields and construction of quantum MDS codes ⋮ Hamming distances of constacyclic codes of length \(3p^s\) and optimal codes with respect to the Griesmer and Singleton bounds ⋮ Constructing MDS Galois self-dual constacyclic codes over finite fields ⋮ New stabilizer codes from the construction of dual-containing matrix-product codes ⋮ Hamming distance of repeated-root constacyclic codes of length \(2p^s\) over \({\mathbb{F}}_{p^m}+u{\mathbb{F}}_{p^m} \)
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