Constructing self-orthogonal and Hermitian self-orthogonal codes via weighing matrices and orbit matrices

DOI10.1016/j.ffa.2018.09.002zbMath1403.94124OpenAlexW2890902732MaRDI QIDQ1633282

Andrea Švob, Dean Crnković, Ronan Egan

Publication date: 19 December 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.2018.09.002

zbMATH Keywords

orbit matrixHermitian self-orthogonal codeweighing matrix

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Linear codes (general theory) (94B05) Other designs, configurations (05B30) Finite fields (field-theoretic aspects) (12E20) Combinatorial codes (94B25)

Related Items

Self-orthogonal codes constructed from weakly self-orthogonal designs invariant under an action of \(M_{11}\) ⋮ New weighing matrices via partitioned group actions ⋮ Several classes of Galois self-orthogonal MDS codes and related applications ⋮ Butson full propelinear codes ⋮ An infinite family of Griesmer quasi-cyclic self-orthogonal codes ⋮ LCD codes from weighing matrices ⋮ Generalizing pairs of complementary sequences and a construction of combinatorial structures

Uses Software

• Magma
• Code Tables

Cites Work

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• Classification of generalized Hadamard matrices \(H(6,3)\) and quaternary Hermitian self-dual codes of length 18
• Generalized weighing matrices and self-orthogonal codes
• Orbit matrices of Hadamard matrices and related codes
• Compression of periodic complementary sequences and applications
• Self-dual codes and invariant theory
• Symmetric Conference Matrices of Order pq 2 + 1
• Fundamentals of Error-Correcting Codes
• Quantum error correction via codes over GF(4)
• Orthogonal Designs
• Atomic Secure Multi-party Multiplication with Low Communication
• Classification of Self-Orthogonal Codes over \boldmath$\F_3$ and \boldmath$\F_4$