Constructions for self-dual codes induced from group rings

From MaRDI portal
Publication:1747911

DOI10.1016/j.ffa.2018.01.002zbMath1416.94064OpenAlexW2784777098MaRDI QIDQ1747911

Bahattin Yildiz, Abidin Kaya, Rhian Taylor, Joe Gildea

Publication date: 27 April 2018

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10034/620815




Related Items

Unit groups of finite group algebras of abelian groups of order 17 to 20A group induced four-circulant construction for self-dual codes and new extremal binary self-dual codesAdditive \(G\)-codes over \(\mathbb{F}_q\) and their dualitiesQuaternary group ring codes: ranks, kernels and self-dual codesQuadruple bordered constructions of self-dual codes from group ringsExtremal binary self-dual codes from a bordered four circulant constructionBordered constructions of self-dual codes from group rings and new extremal binary self-dual codesSelf-dual codes using bisymmetric matrices and group ringsThe weight enumerators of singly-even self-dual \([88,44,14\) codes and new binary self-dual \([68,34,12]\) and \([88,44,14]\) codes] ⋮ Double bordered constructions of self-dual codes from group rings over Frobenius ringsComposite constructions of self-dual codes from group rings and new extremal self-dual binary codes of length 68New singly and doubly even binary \([72,36,12\) self-dual codes from \(M_2(R)G\)-group matrix rings] ⋮ \(2^n\) bordered constructions of self-dual codes from group ringsNew extremal binary self-dual codes of length 68 from generalized neighborsConstructing self-dual codes from group rings and reverse circulant matricesComposite matrices from group rings, composite \(G\)-codes and constructions of self-dual codesComposite G-codes over formal power series rings and finite chain ringsExtending an established isomorphism between group rings and a subring of the n × n matricesAn altered four circulant construction for self-dual codes from group rings and new extremal binary self-dual codes. INew self-dual codes of length 68 from a \(2 \times 2\) block matrix construction and group ringsA modified bordered construction for self-dual codes from group ringsSkew G-codes



Cites Work