26 research outputs found
Constructions of optimal LCD codes over large finite fields
In this paper, we prove existence of optimal complementary dual codes (LCD
codes) over large finite fields. We also give methods to generate orthogonal
matrices over finite fields and then apply them to construct LCD codes.
Construction methods include random sampling in the orthogonal group, code
extension, matrix product codes and projection over a self-dual basis.Comment: This paper was presented in part at the International Conference on
Coding, Cryptography and Related Topics April 7-10, 2017, Shandong, Chin