Title :
Parameters of Goppa codes revisited
Author :
Levy-dit-Vehel, Francoise ; Litsyn, Simon
Author_Institution :
Gemplus Card Int., Sarcelles, France
fDate :
11/1/1997 12:00:00 AM
Abstract :
We discuss parameters of Goppa (1970) codes, such as minimum distance, covering radius, distance distribution, and generalized Hamming weights. By a variation on the exponential sums method and combinatorial arguments, we sharpen known bounds on these parameters
Keywords :
Goppa codes; binary sequences; cyclic codes; binary Goppa codes; bounds; code parameters; combinatorial arguments; covering radius; cyclic codes; distance distribution; exponential sums method; generalized Hamming weights; linear codes; minimum distance; Decoding; Error correction codes; Hamming distance; Hamming weight; Linear code; Parity check codes; Performance analysis; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
