Self-dual, dual-containing and related quantum codes from group rings
arXiv:0711.3983
Abstract
Classes of self-dual codes and dual-containing codes are constructed. The codes are obtained within group rings and, using an isomorphism between group rings and matrices, equivalent codes are obtained in matrix form. Distances and other properties are derived by working within the group ring. Quantum codes are constructed from the dual-containing codes.
References in corpus (3)
Cited by in corpus (5)
- Convolutional codes from units in matrix and group rings
- A group induced four-circulant construction for self-dual codes and new extremal binary self-dual codes
- Convolutional codes from unit schemes
- Linear block and convolutional MDS codes to required rate, distance and type
- Quantum error-correcting codes: the unit-derived strategy