Cyclotomic function fields, Hilbert class fields, and global function fields with many rational places

• Autorzy: Harald Niederreiter , Chaoping Xing
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 79
• Numer: 1
• Strony: 59-76

Daty

wydano

1997

otrzymano

1996-04-19

Twórcy

autor

Harald Niederreiter

• Institut für Informationsverarbeitung, Österreichische Akademie der Wissenschaften, Sonnenfelsgasse 19, A-1010 Wien, Austria

autor

Chaoping Xing

• Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China

Bibliografia

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• [9] H. Niederreiter and C. P. Xing, Low-discrepancy sequences and global function fields with many rational places, Finite Fields Appl. 2 (1996), 241-273.
• [10] H. Niederreiter and C. P. Xing, Explicit global function fields over the binary field with many rational places, Acta Arith. 75 (1996), 383-396.
• [11] H. Niederreiter and C. P. Xing, Quasirandom points and global function fields, in: Finite Fields and Applications, S. D. Cohen and H. Niederreiter (eds.), Cambridge University Press, Cambridge, 1996, 269-296.
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• [18] J.-P. Serre, Résumé des cours de 1983-1984, Annuaire du Collège de France (1984), 79-83.
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• [22] G. van der Geer and M. van der Vlugt, Curves over finite fields of characteristic 2 with many rational points, C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), 593-597.
• [23] G. van der Geer and M. van der Vlugt, How to construct curves over finite fields with many rational points, preprint, 1995.
• [24] C. Voß and T. Høholdt, A family of Kummer extensions of the Hermitian function field, Comm. Algebra 23 (1995), 1551-1566.
• [25] C. P. Xing, Multiple Kummer extension and the number of prime divisors of degree one in function fields, J. Pure Appl. Algebra 84 (1993), 85-93.
• [26] C. P. Xing and H. Niederreiter, A construction of low-discrepancy sequences using global function fields, Acta Arith. 73 (1995), 87-102.
• [27] C. P. Xing and H. Niederreiter, Modules de Drinfeld et courbes algébriques ayant beaucoup de points rationnels, C. R. Acad. Sci. Paris Sér. I Math. 322 (1996), 651-654.
• [28] C. P. Xing and H. Niederreiter, Drinfeld modules of rank 1 and algebraic curves with many rational points, preprint, 1996.