Title :
A determination of the parameters of a large class of Goppa codes
Author :
Johnsen, Trygve ; Manshadi, Saeed ; Monzavi, Noorbakhsh
Author_Institution :
Tromso Univ., Norway
fDate :
9/1/1994 12:00:00 AM
Abstract :
We determine the code parameters of a large class of Goppa codes, constructed from certain curves described by Stichtenoth (see Arch. Math., vol.XXIV, pp.615-631, 1973), in terms of the genus and the Weierstrass gap sequence of a given chosen point on each tune. Examples are codes from Hermitian, Artin-Schreier, and hyperelliptic curves
Keywords :
codes; error correction codes; parameter estimation; series (mathematics); Artin-Schreier curves; Goppa codes; Hermitian curves; Weierstrass gap sequence; code parameters; error correction codes; hyperelliptic curves; Code standards; Decoding; Equations; Galois fields; Hamming distance; Linear code; Polynomials; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on
