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: 2024-09-05.
http://mint.sbg.ac.at/desc_FNXB5.html