Event
01_1
| 제출번호(No.) | 0065 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Discrete Mathematics (DM) |
| 영문제목 (Title(Eng.)) |
Constructions of formally self-dual codes over $\mathbb{Z}_4$ and their weight enumerators |
| 저자(Author(s)) |
Yoonjin Lee1, Jinjoo Yoo1 Ewha Womans University1 |
| 초록본문(Abstract) | We characterize relations between Lee weight enumerators of formally self-dual codes over $\mathbb{Z}_4$ of length $n$ and those of length $n+2$. Based on these relations, we find explicit methods for constructing formally self-dual codes over $\mathbb{Z}_4$. Using these methods, we find 46 inequivalent formally self-dual codes whose minimum Lee weights are larger than self-dual codes of the same length. Also, we obtain 19 non-linear extremal binary formally self-dual codes of lengths 12, 16, and 20, up to equivalence, from formally self-dual codes over $\mathbb{Z}_4$ by using the Gray map. |
| 분류기호 (MSC number(s)) |
94B05, 11T71 |
| 키워드(Keyword(s)) | formally self-dual code, Lee weight enumerator, Gray map |
| 강연 형태 (Language of Session (Talk)) |
Korean |