Codes from incidence matrices of some Bouwer graphs

DOI10.1142/S1793830921500270zbMath1482.94085MaRDI QIDQ5013474

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Publication date: 30 November 2021

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

zbMATH Keywords

incidence matrixlinear codesedge transitiveBouwer graphneighborhood designs

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Combinatorial codes (94B25)

Cites Work

• Unnamed Item
• Codes from incidence matrices and line graphs of Paley graphs
• Codes from lattice and related graphs, and permutation decoding
• Codes associated with triangular graphs and permutation decoding
• Codes and designs from triangular graphs and their line graphs
• Codes from incidence matrices and line graphs of Hamming graphs
• Permutation decoding for the binary codes from triangular graphs.
• Codes from the incidence matrices of graphs on 3-sets
• Codes from the incidence matrices and line graphs of Hamming graphs \(H^k(n,2)\) for \(k \geq 2\)
• Edge-transitive graphs and combinatorial designs
• Codes from the line graphs of complete multipartite graphs and PD-sets
• Codes from multipartite graphs and minimal permutation decoding sets
• Automorphism Groups of Bouwer Graphs
• Vertex and Edge Transitive, but not 1-Transitive, Graphs
• Permutation Decoding of Systematic Codes
• Half-arc-transitive graphs of arbitrary even valency greater than 2

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