1. Self-Dual 2-Quasi Abelian Codes.
- Author
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Lin, Liren and Fan, Yun
- Subjects
- *
FINITE fields , *HAMMING weight - Abstract
A class of self-dual quasi-abelian codes of index 2 over any finite field $F$ is introduced. By counting the number of such codes and the number of the codes in this class whose relative minimum weights are small, such codes are proved to be asymptotically good provided −1 is a square in $F$. Moreover, a class of self-orthogonal quasi-abelian codes of index 2 is defined; and such codes always exist. In a way similar to that for self-dual quasi-abelian codes of index 2, it is proved that these self-orthogonal quasi-abelian codes of index 2 are asymptotically good. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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