Event
01_1
| 제출번호(No.) | 0076 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Discrete Mathematics (DM) |
| 영문제목 (Title(Eng.)) |
Minimum Lee weights of cyclic self-dual codes over Galois rings |
| 저자(Author(s)) |
Boran Kim1, Yoonjin Lee2 Institute of Mathematical Sciences, Ewha Womans University1, Ewha Womans University2 |
| 초록본문(Abstract) | We completely determine the minimum Lee weights of cyclic self-dual codes over a Galois ring $GR(p^2,m)$ of length $p^k$, where $m$ and $k$ are positive integers and $p$ is a prime number. We obtain all cyclic self-dual codes over $GR(2^2,1)\cong \Bbb Z_4$ of lengths $16$ and 32 with their Lee weight enumerators. We also find cyclic self-dual codes over $GR(3^2,1) \cong \Bbb Z_9$ (respectively, $GR(3^2,2)$) of lengths up to $27$ (respectively, $9$). Most of the cyclic self-dual codes we found are extremal with respect to the Lee weights. |
| 분류기호 (MSC number(s)) |
94B15 |
| 키워드(Keyword(s)) | cyclic codes, self-dual codes, Galois rings, minimum Lee weights |
| 강연 형태 (Language of Session (Talk)) |
Korean |