Self-dual codes from a block matrix construction characterised by group rings
From MaRDI portal
Publication:6544464
DOI10.1007/s10623-024-01359-0MaRDI QIDQ6544464
Publication date: 27 May 2024
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Linear codes (general theory) (94B05) Group rings (16S34) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Orthogonal matrices (15B10)
Cites Work
- Unnamed Item
- Unnamed Item
- Codes over \(R_k\), Gray maps and their binary images
- Self-dual codes over commutative Frobenius rings
- Type II codes over \(\mathbb F_4\)
- Binary extremal self-dual codes of length 60 and related codes
- Constructions for self-dual codes induced from group rings
- On self-dual codes over some prime fields.
- Constructing self-dual codes from group rings and reverse circulant matrices
- Self-dual codes using bisymmetric matrices and group rings
- On extremal double circulant self-dual codes of lengths 90--96
- Self-dual codes with an automorphism of order 13
- A new upper bound on the minimal distance of self-dual codes
- Extremal binary self-dual codes
- Shadow bounds for self-dual codes
- Extremal self-dual codes with an automorphism of order 2
- Extremal self-dual codes of lengths 66 and 68
- Type II codes over F/sub 2/+uF/sub 2/
- New binary self-dual codes via a generalization of the four circulant construction
- An upper bound for self-dual codes
- Type II codes over \(\mathbb{F}_4+u\mathbb{F}_4\)
- Extremal binary self-dual codes from a bordered four circulant construction
This page was built for publication: Self-dual codes from a block matrix construction characterised by group rings
