Event
01_1
| 제출번호(No.) | 0086 |
|---|---|
| 분류(Section) | Poster Session |
| 분과(Session) | Discrete Mathematics (DM) |
| 영문제목 (Title(Eng.)) |
Cyclic codes and cyclic self-dual codes over $\mathbb{Z}_p[u]/ \langle u^2 \rangle$ and their mass formulae |
| 저자(Author(s)) |
Jisoo Doo1, Bohyun Kim1, Boran Kim2, Yoonjin Lee1, Jinjoo Yoo1 Department of Mathematics 1, Institute of Mathematical Sciences, Ewha Womans University2 |
| 초록본문(Abstract) | We completely determine the mass formulae for cyclic codes over $R$ of length $n$ with $(n,p) \ne 1$ and cyclic self-dual codes over $\mathbb{Z}_2[u]/\langle u^2\rangle$ of length $2^k$. First, we find a unique representation of cyclic codes and find necessary and sufficient conditions for cyclic codes over $R$ of length $n$ with $(n,p) \ne 1$ to be self-dual. Using these conditions, we give explicit generators of cyclic self-dual codes over $R$ of length $n$ with $(n,p) \ne 1$. |
| 분류기호 (MSC number(s)) |
94B05, 11T71 |
| 키워드(Keyword(s)) | cyclic self-dual code, Mass formula |
| 강연 형태 (Language of Session (Talk)) |
Korean |