Extending an established isomorphism between group rings and a subring of the n × n matrices
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Publication:4994450
DOI10.1142/S0218196721500223zbMath1482.16035OpenAlexW3134775645MaRDI QIDQ4994450
Steven T. Dougherty, Joe Gildea, Adrian Korban
Publication date: 18 June 2021
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218196721500223
Related Items (4)
New type I binary \([72, 36, 12\) self-dual codes from composite matrices and \(R_1\) lifts] ⋮ New singly and doubly even binary \([72,36,12\) self-dual codes from \(M_2(R)G\)-group matrix rings] ⋮ Composite G-codes over formal power series rings and finite chain rings ⋮ New binary self-dual codes of lengths 80, 84 and 96 from composite matrices
Cites Work
- An introduction to group rings
- Group rings, \(G\)-codes and constructions of self-dual and formally self-dual codes
- Constructions for self-dual codes induced from group rings
- New extremal self-dual binary codes of length 68 via composite construction, \( \mathbb{F}_2 + u \mathbb{F}_2\) lifts, extensions and neighbours
- Composite constructions of self-dual codes from group rings and new extremal self-dual binary codes of length 68
- Bordered constructions of self-dual codes from group rings and new extremal binary self-dual codes
- Group ring cryptography
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