Complete classification of \((\delta +\alpha u^2)\)-constacyclic codes over \(\mathbb {F}_{3^m}[u]/\langle u^4\rangle \) of length \(3n\)
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Publication:683910
DOI10.1007/S00200-017-0328-9zbMath1402.94099OpenAlexW2787237838MaRDI QIDQ683910
Li Dong, Yuan Cao, Yong-Lin Cao
Publication date: 9 February 2018
Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00200-017-0328-9
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)
Related Items (6)
Type 2 constacyclic codes over \(\mathbb{F}_{2^m} [u \slash \langle u^3 \rangle\) of oddly even length] ⋮ Matrix-product structure of constacyclic codes over finite chain rings \(\mathbb{F}_{p^m}[u/\langle u^e\rangle\)] ⋮ A class of repeated-root constacyclic codes over \(\mathbb{F}_{p^m} [u / \langle u^e \rangle\) of type 2] ⋮ Self-dual constacyclic codes of length \(2^s\) over the ring \(\mathbb{F}_{2^m}[u,v/\langle u^2, v^2, uv-vu \rangle \)] ⋮ A class of linear codes of length 2 over finite chain rings ⋮ The dual code of any \((\delta + \alpha u^2)\)-constacyclic code over \(\mathbb{F}_{2^m} [u \slash \langle u^4 \rangle\) of oddly even length]
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