Codes from incidence matrices and line graphs of Paley graphs

DOI10.3934/amc.2011.5.93zbMath1219.05087OpenAlexW2027221138MaRDI QIDQ534524

Jennifer D. Key, Ghinelli, Dina

Publication date: 17 May 2011

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2011.5.93

zbMATH Keywords

Paley graphscodespermutation decoding

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Combinatorial codes (94B25) Decoding (94B35) Graph operations (line graphs, products, etc.) (05C76)

Related Items (14)

Codes from neighbourhood designs of the graphs \(\text{GP}(q,\frac{q-1}{2})\) with \(q\) odd ⋮ GHWs of codes arising from Cartesian product of graphs ⋮ GHWs of codes derived from the incidence matrices of some graphs ⋮ Permutation decoding of codes from generalized Paley graphs ⋮ Codes associated with the odd graphs ⋮ A characterization of graphs by codes from their incidence matrices ⋮ Generalised Paley graphs with a product structure ⋮ Generalized Paley graphs equienergetic with their complements ⋮ Codes from incidence matrices of graphs ⋮ Hulls of codes from incidence matrices of connected regular graphs ⋮ Binary codes from Paley graphs of prime-power-square order ⋮ A reduction formula for Waring numbers through generalized Paley graphs ⋮ Codes from incidence matrices of some Bouwer graphs ⋮ Codes from incidence matrices of some regular graphs

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