\(LCD\) codes from adjacency matrices of graphs

DOI10.1007/s00200-017-0339-6zbMath1391.94846OpenAlexW2748466041MaRDI QIDQ1647744

Jennifer D. Key, Bernardo Gabriel Rodrigues

Publication date: 26 June 2018

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-017-0339-6

zbMATH Keywords

strongly regular graphsuniform subset graphs\(LCD\) codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Association schemes, strongly regular graphs (05E30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Combinatorial codes (94B25)

Related Items

Another generalisation of the binary Reed-Muller codes and its applications ⋮ Isodual and Self-dual Codes from Graphs ⋮ Unnamed Item ⋮ Special \textit{LCD} codes from products of graphs ⋮ LCD codes arising from wavelets ⋮ Codes from adjacency matrices of uniform subset graphs ⋮ Binary and ternary LCD codes from projective spaces ⋮ Special LCD codes from Peisert and generalized Peisert graphs ⋮ Hamming graphs and special LCD codes ⋮ Binary codes from \(m\)-ary \(n\)-cubes \(Q^m_n\) ⋮ LDPC codes constructed from cubic symmetric graphs

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Permutation decoding of codes from generalized Paley graphs
• On the \(p\)-rank of the adjacency matrices of strongly regular graphs
• Codes from incidence matrices and line graphs of Hamming graphs
• Graphs, designs and codes related to the \(n\)-cube
• Ternary codes from graphs on triples
• Linear codes with complementary duals
• The Magma algebra system. I: The user language
• Permutation decoding for the binary codes from triangular graphs.
• Codes from adjacency matrices of uniform subset graphs
• Binary codes from graphs on triples
• Binary codes of strongly regular graphs
• Binary codes and partial permutation decoding sets from the odd graphs
• Ternary codes from some reflexive uniform subset graphs
• Codes from the incidence matrices and line graphs of Hamming graphs \(H^k(n,2)\) for \(k \geq 2\)
• Binary codes from reflexive uniform subset graphs on 3-sets
• Codes from neighbourhood designs of the graphs \(\text{GP}(q,\frac{q-1}{2})\) with \(q\) odd
• Hulls of codes from incidence matrices of connected regular graphs
• On the spectra of Johnson graphs
• Association schemes and coding theory

This page was built for publication: \(LCD\) codes from adjacency matrices of graphs