Title :
On Weierstrass semigroups and the redundancy of improved geometric Goppa codes
Author :
Pellikaan, Ruud ; Torres, Fernando
Author_Institution :
Dept. of Math. & Comput. Sci., Eindhoven Univ. of Technol., Netherlands
fDate :
11/1/1999 12:00:00 AM
Abstract :
Improved geometric Goppa codes have a smaller redundancy and the same bound on the minimum distance as ordinary algebraic-geometry codes. For an asymptotically good sequence of function fields we give a formula for the redundancy
Keywords :
Goppa codes; algebraic geometric codes; group theory; redundancy; Weierstrass semigroups; algebraic-geometry codes; asymptotically good sequence; bound; function fields; improved geometric Goppa codes; minimum distance; redundancy; Decoding; Equations; Error correction; Error correction codes; Galois fields; Geometry; Poles and towers; Redundancy; Testing; Voting;
Journal_Title :
Information Theory, IEEE Transactions on
