A group induced four-circulant construction for self-dual codes and new extremal binary self-dual codes
From MaRDI portal
Publication:5863470
zbMath1495.94106arXiv1912.11758MaRDI QIDQ5863470
Abidin Kaya, Bahattin Yildiz, Joe Gildea, Alexander Tylyshchak
Publication date: 1 June 2022
Full work available at URL: https://arxiv.org/abs/1912.11758
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Codes over \(R_k\), Gray maps and their binary images
- Self-dual codes over commutative Frobenius rings
- The extended Golay codes considered as ideals
- Type II codes over \(\mathbb F_4\)
- 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 from block circulant matrices and block quadratic residue circulant matrices
- 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
- Self-dual codes with an automorphism of order 13
- Classification of extremal double circulant self-dual codes of lengths 74--88
- A new upper bound on the minimal distance of self-dual codes
- Some restrictions on weight enumerators of singly even self-dual codes
- A Group Ring Construction of the Extended Binary Golay Code
- 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/
- Type II codes over \(\mathbb{F}_4+u\mathbb{F}_4\)
