Codes on garcia-stichtenoth curves with true distance greater than feng-rao distance

IEEE Transactions on Information Theory

Volumn 45, Issue 2, 1999, Pages 706-709

  Chen, Hao ^a  

^a SUN YAT SEN UNIVERSITY   (China)

Author keywords

Algebraic geometric code; Feng rao designed distance; Garcia stichtenoth curves

Indexed keywords

COMPUTATIONAL GEOMETRY; THEOREM PROVING;

ALGEBRAIC-GEOMETRIC CODES; FENG-RAO DISTANCE; GARCIA-STICHTENOTH CURVES;

CODES (SYMBOLS);

EID: 0033097508     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.749018     Document Type: Article

References (8)

1. A Garcia and H. Stichtenoth, "A tower of Artin-Schreier extensions of function fields attaining Drinfield-Vladut bound," Invent. Math., vol. 121, pp. 211-222, 1995.
2. "On the asymptotic behaviour of some towers of function field over finite fields," J. Number Theory, vol. 61, no. 2, pp. 248-273, 1996.
3. C. Voss and T. H0holdt, "An explicit construction of a sequence of codes attaining the Tsfasman-Vladu;-Zink bound: The first steps," IEEE Trans. Inform. Theory, vol. 43, pp. 128-135, Jan. 1997.
4. H. Chen, "On the number of correctable errors of Feng-Rao decoding algorithm for AG-codes," preprint, 1997.
5. R. Pellikaan, H. Stichtenoth, and F. Torres, "Weierstrass semigroups in an asymptotically good tower of function fields," Finite Fields Their Appl., to be published.
6. R. Pellikaan, "On the gonality of curves, abundant codes and decoding," in Proc. AGCT-3 (Luminy, France, 1991 ), Lecture Notes in Mathematics, vol. 1518. Berlin, Germany: Springer-Verlag, 1992, pp. 132-142.
7. C. Munuera, "On generalized Hamming weights of geometric Goppa codes," IEEE Trans. Inform. Theory, vol. 40, pp. 2092-2099, Nov. 1994.
8. H. Stichtenoth, Algebraic Function Fields and Codes. Berlin, Germany: Springer-Verlag, 1993.