In this project, we aim to investigate the following open problems:
- The characterization of abelian and quasi-abelian codes with complementary dual.
- The enumeration of abelian and quasi-abelian codes with complementary dual.
- Possible applications of complementary dual abelian and quasi-abelian codes, e.g. constructions of entanglement-assisted quantum error correcting codes.
- Constructions of good complementary dual abelian and quasi-abelian codes (using the theoretical characterization and MAGMA program)