Title :
An explicit construction of a sequence of codes attaining the Tsfasman-Vladut-Zink bound. The first steps
Author :
Voss, Conny ; Høholdt, Tom
Author_Institution :
Math. Inst., Tech. Univ. Denmark, Lyngby, Denmark
fDate :
1/1/1997 12:00:00 AM
Abstract :
We present a sequence of codes attaining the Tsfasman-Vladut-Zink bound. The construction is based on the tower of Artin-Schreier extensions described by Garcia and Stichtenoth (1995). We also determine the dual codes. The first steps of the constructions are explicitly given as generator matrices
Keywords :
algebraic geometric codes; dual codes; matrix algebra; sequential codes; Artin-Schreier extensions; Tsfasman-Vladut-Zink bound; code sequence; dual codes; explicit construction; generator matrices; Cost accounting; Equations; Poles and towers; Poles and zeros;
Journal_Title :
Information Theory, IEEE Transactions on
