Title :
The true dimension of certain binary Goppa codes
Author :
Van Der Vlugt, Marcel
Author_Institution :
Dept. of Math. & Inf., Leiden Univ., Netherlands
fDate :
3/1/1990 12:00:00 AM
Abstract :
By applying a result from algebraic geometry due to E. Bombieri (Amer. J. Math., vol.88, p.71-105, 1966), the true dimension of certain binary Goppa codes is calculated. The results lead in many cases to an improvement of the usual lower bound for the dimension
Keywords :
error correction codes; algebraic geometry; binary Goppa codes; error correcting codes; lower bound; true dimension; Binary codes; Density estimation robust algorithm; Informatics; Linear code; Mathematics; Polynomials; Reed-Solomon codes;
Journal_Title :
Information Theory, IEEE Transactions on
