From weight enumerators to zeta functions

Discrete Applied Mathematics

Volumn 111, Issue 1-2, 2001, Pages 55-73

  Duursma, Iwan ^a  

^a UNIVERSITY OF LIMOGES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035879587     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(00)00344-9     Document Type: Article

References (11)

1. Drinfeld V.G., Vladuts S.G. On the number of points of an algebraic curve. Func. Anal. 17:1983;53-54.
2. M. Duursma Iwan Weight distributions of geometric Goppa codes. Trans. Amer. Math. Soc. 351:1999;3609-3639.
3. Iwan M. Duursma, Zeta functions for linear codes, Preliminary version, July 1997.
4. Iwan M. Duursma, A Riemann hypothesis analogue for self-dual codes, AMS (DIMACS Series), to appear.
5. Krasikov I., Litsyn S. An improved upper bound on the minimum distance of doubly-even self-dual codes. IEEE Trans. Information Theory. 46:2000;274-278.
6. MacWilliams F.J., Sloane N.J.A. The Theory of Error-Correcting Codes. 1978;North-Holland, Amsterdam.
7. Mallows C.L., Odlyzko A.M., Sloane N.J.A. Upper bounds for modular forms, lattices and codes. J. Algebra. 36:1975;68-76.
8. Scharlau W. Selbstduale Goppa-codes. Math. Nachrichten. 143:1989;119-122.
9. J.-P. Serre, Sur le nombre des points rationnels d'une courbe algébrique sur un corps fini, C.R. Acad. Sci. Paris Sr. I Math. 296 ( 1983 ) 397-402 (Oeuvres Sc., III, p. 658-663).
10. J.-P. Serre, Sur le nombre des points rationnels d'une courbe algébrique sur un corps fini, C.R. Acad. Sci. Paris Sr. I Math. 296 ( 1983 ) 397-402 (Oeuvres Sc., III, p. 658-663).
11. M.A. Tsfasman, S.G. Vladuts, Asymptotic properties of zeta-functions, Algebraic geometry, 7. J. Math. Sci. 84 ( 1997 ) 1445-1467. Marseille, no. 96-12, 1996.