Algebraic Function Fields over ℤ5 by Niederreiter/Xing

Detailed examples for global function fields F/ℤ5 can be found in [1] for g(F/ℤ5) ≤ 7, in [2] for 7 ≤ g(F/ℤ5) ≤ 22, and in [3] for 19 ≤ g(F/ℤ5).

References

[1]Harald Niederreiter and Chaoping Xing.
Cyclotomic function fields, Hilbert class fields, and global function fields with many rational places.
Acta Arithmetica, 79(1):59–76, 1997.
MR1438117 (97m:11141)
[2]Harald Niederreiter and Chaoping Xing.
Global function fields with many rational places over the quinary field.
Demonstratio Mathematica, 30:919–930, 1997.
MR1617283 (99a:11133)
[3]Harald Niederreiter and Chaoping Xing.
Global function fields with many rational places over the quinary field. II.
Acta Arithmetica, 86(3):277–288, 1998.
MR1655986 (99i:11105)

Copyright

Copyright © 2004, 2005, 2006, 2007, 2008, 2009, 2010 by Rudolf Schürer and Wolfgang Ch. Schmid.
Cite this as: Rudolf Schürer and Wolfgang Ch. Schmid. “Algebraic Function Fields over ℤ5 by Niederreiter/Xing.” From MinT—the database of optimal net, code, OA, and OOA parameters. Version: 2008-04-04. http://mint.sbg.ac.at/desc_FNXB5.html

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