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en:group:seminars:20090121 [2016/06/23 11:26] (current)
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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].