Matrix-product structure of constacyclic codes over finite chain rings \(\mathbb{F}_{p^m}[u]/\langle u^e\rangle\)

DOI10.1007/s00200-018-0352-4zbMath1404.94145arXiv1803.01095OpenAlexW2963162270MaRDI QIDQ1633165

Yuan Cao, Fang-Wei Fu, Yong-Lin Cao

Publication date: 19 December 2018

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01095

zbMATH Keywords

finite chain ringmatrix-product codemonomially equivalent codesrepeated-root constacyclic code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items

On the structure of repeated-root polycyclic codes over local rings ⋮ Construction of new quantum codes via Hermitian dual-containing matrix-product codes ⋮ Homogeneous metric and matrix product codes over finite commutative principal ideal rings ⋮ Matrix-product codes over commutative rings and constructions arising from \((\sigma,\delta)\)-codes ⋮ On matrix-product structure of repeated-root constacyclic codes over finite fields ⋮ Linear complementary dual codes over rings

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