Self-dual codes and orthogonal matrices over large finite fields
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Publication:1800709
DOI10.1016/j.ffa.2018.08.011zbMath1401.94220OpenAlexW2889786189WikidataQ129293479 ScholiaQ129293479MaRDI QIDQ1800709
Lin Sok, Minjia Shi, Patrick Solé, Selda Çalkavur
Publication date: 24 October 2018
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2018.08.011
Related Items (17)
Design of \(\mathcal{T}\)-\textit{direct} codes over \(\mathrm{GF}(2^N)\) with increased users ⋮ On some binary symplectic self-orthogonal codes ⋮ A class of twisted generalized Reed-Solomon codes ⋮ Constructions of optimal Hermitian self-dual codes from unitary matrices ⋮ On Euclidean self-dual codes and isometry codes ⋮ Niederreiter-Rosenbloom-Tsfasman LCD codes ⋮ New classes of NMDS codes with dimension 3 ⋮ A class of double-twisted generalized Reed-Solomon codes ⋮ The \((+)\)-extended twisted generalized Reed-Solomon code ⋮ Double bordered constructions of self-dual codes from group rings over Frobenius rings ⋮ Linear complementary pairs of codes over rings ⋮ MDS or NMDS self-dual codes from twisted generalized Reed-Solomon codes ⋮ New extremal binary self-dual codes from a Baumert-Hall array ⋮ Further results on Euclidean and Hermitian linear complementary dual codes ⋮ Linear complementary dual codes over rings ⋮ Linear codes with arbitrary dimensional hull and their applications to EAQECCs ⋮ An improved upper bound on self-dual codes over finite fields \(\mathrm{GF}(11)\), \(\mathrm{GF}(19)\), and \(\mathrm{GF}(23)\)
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Cites Work
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- New MDS self-dual codes over finite fields
- Construction of MDS self-dual codes over Galois rings
- New optimal self-dual codes over GF(7).
- Experimental constructions of self-dual codes
- Euclidean and Hermitian self-dual MDS codes over large finite fields.
- Quadratic double circulant codes over fields
- Constructions of optimal LCD codes over large finite fields
- MDS self-dual codes over large prime fields
- On self-dual codes over some prime fields.
- Parametrization of self-dual codes by orthogonal matrices
- Good self dual codes exist
- On the Classification of Extremal $[36,18,8$ Binary Self-Dual Codes]
- Factorization of Symmetric Matrices and Trace-Orthogonal Bases in Finite Fields
- Fundamentals of Error-Correcting Codes
- Self-dual codes over F/sub p/ and weighing matrices
- Classification of Extremal and $s$-Extremal Binary Self-Dual Codes of Length 38
- Orthogonal Matrices Over Finite Fields
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