On a class of constacyclic codes of length 4ps over 𝔽pm + u𝔽pm
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Publication:5377473
DOI10.1142/S0219498819500221zbMath1461.94101MaRDI QIDQ5377473
Thang M. Vo, Bac T. Nguyen, Songsak Sriboonchitta, Hai Quang Dinh
Publication date: 24 May 2019
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)
Related Items
Quantum MDS and synchronizable codes from cyclic codes of length \(5p^s\) over \(\mathbb{F}_{p^m}\) ⋮ On Hamming distance distributions of repeated-root constacyclic codes of length \(3p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\) ⋮ Optimal constructions of quantum and synchronizable codes from repeated-root cyclic codes of length \(3p^s\) ⋮ Complete classification of repeated-root \(\sigma\)-constacyclic codes of prime power length over \(\mathbb{F}_{p^m} [ u \slash \langle u^3 \rangle \)] ⋮ On Hamming and \(b\)-symbol distance distributions of repeated-root constacyclic codes of length \(4p^s\) over \(\mathbb{F}_{p^m}+u \mathbb{F}_{p^m}\) ⋮ Explicit constructions of cyclic and negacyclic codes of length 3ps over 𝔽pm + u𝔽pm ⋮ Quantum MDS and synchronizable codes from cyclic and negacyclic codes of length \(4p^s\) over \(\mathbb{F}_{p^m}\)
Cites Work
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- On constacyclic codes of length \(4p^s\) over \(\mathbb{F}_{p^m} +u\mathbb{F}_{p^m}\)
- Constacyclic codes of length \(p^s\) over \(\mathbb F_{p^m} + u\mathbb F_{p^m}\)
- Repeated-root constacyclic codes of length
- Constacyclic codes of length \(2p^{s}\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\)
- Type II codes over \(\mathbb F_2+ u\mathbb F_2\) and applications to Hermitian modular forms
- Negacyclic codes of length \(4 p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\) and their duals
- Cyclic codes over \(\mathbb{Z}_{4}\) of oddly even length.
- Structure of repeated-root constacyclic codes of length \(3p^s\) and their duals
- On the generators of Z/sub 4/ cyclic codes of length 2/sup e/
- Cyclic and Negacyclic Codes Over Finite Chain Rings
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Fundamentals of Error-Correcting Codes
- Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/
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