On the asymptotic behaviour of some towers of function fields over finite fields

Journal of Number Theory

Volumn 61, Issue 2, 1996, Pages 248-273

  Garcia, Arnaldo ^a   Stichtenoth, Henning ^b  

^a IMPA   (Brazil)

^b UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030511284     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1996.0147     Document Type: Article

References (11)

1. 1. V. G. Drinfeld and S. G. Vladut, Number of points of an algebraic curve, Fimct. Anal. 17 (1983), 53-54.
2. 2. G. Frey, M. Perret, and H. Stichtenoth, On the different of Abelian extensions of global fields, in "Coding Theory and Algebraic Geometry. Proceedings, Luminy, 1991" (H. Stichtenoth and M. A. Tsfasman, Eds.), Lecture Notes in Math., Vol. 1518, pp. 26-32, Springer-Verlag, New York/Berlin, 1992.
3. 3. A. Garcia and H. Stichtenoth, A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound, Invent. Math. 121 (1995), 211-222.
4. 4. H. Hasse, Theorie der relativ zyklischen algebraischen Funktionenkörper, J. Reine Angew. Math. 172 (1934), 37-54.
5. 5. Y. Ihara, Some remarks on the number of rational points of algebraic curves over finite fields, J. Fac. Sci. Tokyo 28 (1981), 721-724.
6. 2 with many rational points, J. Number Theory 41 (1992), 6-14.
7. 7. J.-P. Serre, Sur le nombre des points rationnels d'une courbe algébrique sur un corps fini, C. R. Acad. Sci. Paris 296 (1983), 397-402.
8. 8. J.-P. Serre, Résumé des cours de 1983-1984, in "Annuaire du Collège de France, 79-83," 1984.
9. 9. H. Stichtenoth, "Algebraic Function Fields and Codes," Springer Universitext, Springer-Verlag, Berlin/Heidelberg/New York, 1993.
10. 10. M. A. Tsfasman, S. G. Vladut, and T. Zink, Modular curves, Shimura curves, and Goppa codes, better than the Varshamov-Gilbert bound, Math. Nachr. 109 (1982), 21-28.
11. 11. C. P. Xing, Multiple Kummer extensions and the number of prime divisors of degree one in function fields, J. Pure Appl. Algebra 84 (1993), 85-93.