THE GENUS OF MAXIMAL-FUNCTION FIELDS OVER FINITE-FIELDS

Authors
XING CP STICHTENOTH H
Citation
Cp. Xing et H. Stichtenoth, THE GENUS OF MAXIMAL-FUNCTION FIELDS OVER FINITE-FIELDS, Manuscripta mathematica, 86(2), 1995, pp. 217-224
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Manuscripta mathematica → ACNP
ISSN journal
00252611
Volume
86
Issue
2
Year of publication
1995
Pages
217 - 224
Database
ISI
SICI code
0025-2611(1995)86:2<217:TGOMFO>2.0.ZU;2-F
Abstract
We prove that if there exists a maximal function field of one variable of genus g over F(q)2, then g less than or equal to (q-1)(2)/4 or g = q(r)/2 with q-1/2 less than or equal to r less than or equal to q - 1 .