Title :
On the decoding of algebraic-geometric codes
Author :
Hoholdt, Tom ; Pellikaan, Ruud
Author_Institution :
Math. Inst., Tech. Univ. Lyngby, Denmark
fDate :
11/1/1995 12:00:00 AM
Abstract :
This paper provides a survey of the existing literature on the decoding of algebraic-geometric codes. Definitions, theorems, and cross references will be given. We show what has been done, discuss what still has to be done, and pose some open problems
Keywords :
Goppa codes; algebraic geometric codes; decoding; reviews; Goppa codes; algebraic-geometric codes; algorithm; decoding; definitions; theorems; Concrete; Decoding; Elliptic curves; Error correction; Galois fields; Helium; Mathematics; Poles and zeros; Reed-Solomon codes; Strontium;
Journal_Title :
Information Theory, IEEE Transactions on