Ternary self-orthogonal codes from weakly regular bent functions and their application in LCD Codes.

Self-orthogonal codes are linear codes such that they are contained in their duals. Self-orthogonal codes have attracted much attention due to their applications in linear complementary dual codes (LCD codes for short), quantum codes, row-self-orthogonal matrices and so on. In this paper, we first construct several families of ternary self-orthogonal codes from weakly regular bent functions. The parameters and weight distributions of them are determined. Then we use the self-orthogonal codes to construct new infinite families of ternary LCD codes. Some LCD codes are optimal according to the Code Tables at http://www.codetables.de/. [ABSTRACT FROM AUTHOR]