Hamming graphs and special LCD codes

DOI10.1007/s12190-019-01259-wzbMath1427.94090OpenAlexW2938817748WikidataQ128119476 ScholiaQ128119476MaRDI QIDQ2008071

Eric Mwambene, Jennifer D. Key, Bernardo Gabriel Rodrigues, Washiela Fish

Publication date: 22 November 2019

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-019-01259-w

zbMATH Keywords

decodingHamming graphsLCD codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items

Minimal PD-sets for codes associated with the graphs \(Q^m_2, m\) even ⋮ Special \textit{LCD} codes from products of graphs ⋮ Optimal binary and ternary linear codes with hull dimension one ⋮ Hulls of linear codes revisited with applications

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Binary codes and partial permutation decoding sets from the Johnson graphs
• New bounds for the \(\max\)-\(k\)-cut and chromatic number of a graph
• 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.
• On the \(p\)-ranks of the adjacency matrices of distance-regular graphs
• \(LCD\) codes from adjacency matrices of graphs
• Binary codes from graphs on triples
• Binary codes of strongly regular graphs
• Special LCD codes from Peisert and generalized Peisert 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
• Hulls of codes from incidence matrices of connected regular graphs
• All self-complementary symmetric graphs

This page was built for publication: Hamming graphs and special LCD codes