Constructing self-dual codes from group rings and reverse circulant matrices
From MaRDI portal
Publication:2025380
DOI10.3934/amc.2020077zbMath1466.94049OpenAlexW3015351830MaRDI QIDQ2025380
Bahattin Yildiz, Adrian Korban, Joe Gildea, Abidin Kaya
Publication date: 12 May 2021
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/amc.2020077
Related Items
New self-dual codes from \(2 \times 2\) block circulant matrices, group rings and neighbours of neighbours ⋮ The weight enumerators of singly-even self-dual \([88,44,14\) codes and new binary self-dual \([68,34,12]\) and \([88,44,14]\) codes] ⋮ Unnamed Item ⋮ New extremal binary self-dual codes from block circulant matrices and block quadratic residue circulant matrices ⋮ Composite matrices from group rings, composite \(G\)-codes and constructions of self-dual codes ⋮ New self-dual codes of length 68 from a \(2 \times 2\) block matrix construction and group rings ⋮ New binary self-dual codes of lengths 80, 84 and 96 from composite matrices
Uses Software
Cites Work
- Unnamed Item
- Self-dual codes over commutative Frobenius rings
- An extremal singly even self-dual code of length 88
- The Magma algebra system. I: The user language
- Type II codes over \(\mathbb F_4\)
- Group rings, \(G\)-codes and constructions of self-dual and formally self-dual codes
- Self-dual codes with an automorphism of order 7 and \(s\)-extremal codes of length 68
- Constructions for self-dual codes induced from group rings
- On self-dual codes over some prime fields.
- Generalized AG codes and generalized duality
- New extremal binary self-dual codes of length 68 from generalized neighbors
- Quadruple bordered constructions of self-dual codes from group rings
- An altered four circulant construction for self-dual codes from group rings and new extremal binary self-dual codes. I
- New extremal binary self-dual codes of lengths 64 and 66 from \(R_{2}\)-lifts
- Self-dual codes with an automorphism of order 13
- Bordered constructions of self-dual codes from group rings and new extremal binary self-dual codes
- Classification of extremal double circulant self-dual codes of lengths 74--88
- Self-Dual Codes With an Automorphism of Order 11
- A new upper bound on the minimal distance of self-dual codes
- Some restrictions on weight enumerators of singly even self-dual codes
- Extremal binary self-dual codes
- Shadow bounds for self-dual codes
- Extremal self-dual codes with an automorphism of order 2
- Type II codes over F/sub 2/+uF/sub 2/
- New binary self-dual codes via a generalization of the four circulant construction
- Algebraic Coding Theory Over Finite Commutative Rings
- Type II codes over \(\mathbb{F}_4+u\mathbb{F}_4\)
