DRINFELD MODULES AND ALGEBRAIC-CURVES WIT H MANY RATIONAL-POINTS

Authors
XING CP NIEDERREITER H
Citation
Cp. Xing et H. Niederreiter, DRINFELD MODULES AND ALGEBRAIC-CURVES WIT H MANY RATIONAL-POINTS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(7), 1996, pp. 651-654
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
7
Year of publication
1996
Pages
651 - 654
Database
ISI
SICI code
0764-4442(1996)322:7<651:DMAAWH>2.0.ZU;2-L
Abstract
We construct algebraic curves C defined over a finite field F-q such t hat the number of F-q-rational points of C is large relative to the ge nus of C. The methods of construction are based on the relationship be tween algebraic curves and their function fields, as well as on narrow ray class extensions obtained from Drinfeld modules of rank 1.