Lee distance distribution of repeated-root constacyclic codes over \(\mathrm{GR}(2^e,m)\) and related MDS codes
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Publication:2103108
DOI10.1007/s12190-021-01694-8OpenAlexW4205267952MaRDI QIDQ2103108
Nilay Kumar Mondal, Pramod Kumar Kewat, Hai Quang Dinh
Publication date: 13 December 2022
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-021-01694-8
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)
Cites Work
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- Some constacyclic codes over finite chain rings
- Repeated-root constacyclic codes of prime power lengths over finite chain rings
- On structure and distances of some classes of repeated-root constacyclic codes over Galois rings
- Repeated root cyclic \(\mathbb{F}_q\)-linear codes over \(\mathbb{F}_{q^l}\)
- On quasi-cyclic codes over \({\mathbb{Z}_q}\)
- On the distances of cyclic codes of length \(2^e\) over \(\mathbb Z_4\)
- Lee distance of cyclic and \((1 + u\gamma)\)-constacyclic codes of length \(2^s\) over \(\mathbb{F}_{2^m} + u \mathbb{F}_{2^m} \)
- Optimal binary codes from one-Lee weight codes and two-Lee weight projective codes over \(\mathbb Z_4\)
- Lee weights of cyclic self-dual codes over Galois rings of characteristic \(p^2\)
- On the generators of Z/sub 4/ cyclic codes of length 2/sup e/
- Negacyclic Codes of Length<tex>$2^s$</tex>Over Galois Rings
- Complete Distances of All Negacyclic Codes of Length $2^{s}$ Over $\BBZ _{2^{a}}$
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Lee-metric BCH codes and their application to constrained and partial-response channels
- Some Repeated-Root Constacyclic Codes Over Galois Rings
- On the Structure and Distances of Repeated-Root Constacyclic Codes of Prime Power Lengths Over Finite Commutative Chain Rings
- Z/sub 2/k-linear codes
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