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+ | ---- 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]. | ||