Construction of MDS self-dual codes from orthogonal matrices
Minjia Shi, Lin Sok, Patrick Solé · arXiv (Cornell University) · 2016
In this paper, we give algorithms and methods of construction of self-dual codes over finite fields using orthogonal matrices. Randomization in the orthogonal group, and code extension are the main tools. Some optimal, almost MDS, and MDS self-dual codes over both small and large prime fields are constructed.