This shows you the differences between two versions of the page.
| — |
en:group:seminars:20090121 [2016/06/23 11:26] (current) |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| + | |||
| + | ---- dataentry seminar ---- | ||
| + | date_dt : 2009-01-21 | ||
| + | title : Asymptotically Good Self-Dual Codes over Cubic Finite Fields | ||
| + | speaker : Dr. Alp Bassa | ||
| + | affiliation : School of Mathematics | ||
| + | time : 16h15-17h15 | ||
| + | room : BC129 | ||
| + | table : seminars | ||
| + | =================== | ||
| + | template:datatemplates:seminar | ||
| + | ----------------------- | ||
| + | |||
| + | |||
| + | ==== abstract ==== | ||
| + | It has been known for a long time that the class of self-dual codes over a finite field is asymptotically good and that it attains the Gilbert-Varshamov bound. Stichtenoth showed that over fields with quadratic cardinality self-dual codes even attain the Tsfasman-Vladut-Zink bound. In this talk I will explain how using some well-known facts about quadratic forms and a new cubic tower of curves an analogous result can be obtained for self-dual codes over cubic finite fields. This new construction also gives a simpler proof for the quadratic case. [joint work with H. Stichtenoth]. | ||