New type I binary \([72, 36, 12]\) self-dual codes from \(M_6(\mathbb{F}_2)G\) -- group matrix rings by a hybrid search technique based on a neighbourhood-virus optimisation algorithm
DOI10.3934/amc.2022032MaRDI QIDQ6584298
Adrian Korban, Serap Sahinkaya, Deniz Ustun
Publication date: 6 August 2024
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
linear codesevolutionary algorithmsbinary self-dual codesgroup matrix ringsneighbours of self-dual codes
Evolutionary algorithms, genetic algorithms (computational aspects) (68W50) Linear codes (general theory) (94B05) Group rings (16S34)
Cites Work
- Title not available (Why is that?)
- Double circulant codes from two class association schemes
- The Magma algebra system. I: The user language
- Group rings, \(G\)-codes and constructions of self-dual and formally self-dual codes
- Double circulant self-dual and LCD codes over Galois rings
- Constructions for self-dual codes induced from group rings
- On self-dual negacirculant codes of index two and four
- Self-dual codes and orthogonal matrices over large finite fields
- New extremal binary self-dual codes of length 68 from generalized neighbors
- New extremal self-dual binary codes of length 68 via composite construction, \( \mathbb{F}_2 + u \mathbb{F}_2\) lifts, extensions and neighbours
- Composite matrices from group rings, composite \(G\)-codes and constructions of self-dual codes
- The neighbor graph of binary self-dual codes
- Quadruple bordered constructions of self-dual codes from group rings
- Composite constructions of self-dual codes from group rings and new extremal self-dual binary codes of length 68
- New singly and doubly even binary \([72,36,12\) self-dual codes from \(M_2(R)G\)-group matrix rings]
- Bordered constructions of self-dual codes from group rings and new extremal binary self-dual codes
- Extremal binary self-dual codes
- Shadow bounds for self-dual codes
- New type I binary \([72, 36, 12\) self-dual codes from composite matrices and \(R_1\) lifts]
This page was built for publication: New type I binary \([72, 36, 12]\) self-dual codes from \(M_6(\mathbb{F}_2)G\) -- group matrix rings by a hybrid search technique based on a neighbourhood-virus optimisation algorithm
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6584298)