manYPoints - Table of Curves with Many Points
http://www.manypoints.org
manYPoints aims at providing an open access up-to-date source for information on curves over finite fields with many pointsLower bound 352 for q=81, g=20
http://www.manypoints.org/Details.aspx?e1=16878
A corresponding equation can be given by
y^10 + x^5*y^5 + x^4*y^4 + 2*x^3*y^3 + x*y + x^10 = 0.Lower bound 3528 for q=2401, g=13
http://www.manypoints.org/Details.aspx?e1=16877
A corresponding equation can be given by
5*x^5*y^6 + x^4*y^5 + x^3*y^4 + 2*x^2*y^3 + 3*x*y^2 + x^7 = 0.Lower bound 926 for q=625, g=6
http://www.manypoints.org/Details.aspx?e1=16876
Explicit curve: z^13 = t(t+1)^24Lower bound 2887 for q=2401, g=5
http://www.manypoints.org/Details.aspx?e1=16875
An explicit equation is given by
y^5 + r^700*x^3*y^3 + r^50*x^2*y^2 + r^50*x*y + x^5 + r^200 = 0,
where r is a root of the corresponding Primitive Polynomial
X^4 + 5*X^2 + 4*X + 3.Lower bound 31722 for q=28561, g=10
http://www.manypoints.org/Details.aspx?e1=16874
An explicit curve is given by the equation
x^3*y^3 + x^5 + y^5 + 8*x^2*y^2 + 11*x*y + 2 = 0.Lower bound 3126 for q=625, g=50
http://www.manypoints.org/Details.aspx?e1=16872
Table 17. Quotient of the GF(25^2)-maximal Hermitian curve over a group of order 5.Lower bound 2826 for q=625, g=44
http://www.manypoints.org/Details.aspx?e1=16871
Table 17. Quotient of the GF(25^2)-maximal Hermitian curve over a symmetric group Sym(3).Lower bound 2126 for q=625, g=30
http://www.manypoints.org/Details.aspx?e1=16870
Table 17. Quotient of the GF(25^2)-maximal Hermitian curve over a dihedral group of order 8.Lower bound 1726 for q=625, g=22
http://www.manypoints.org/Details.aspx?e1=16869
Table 17. Quotient of the GF(25^2)-maximal Hermitian curve over a group Z_6 x Z_2 of order 12.Lower bound 1126 for q=625, g=10
http://www.manypoints.org/Details.aspx?e1=16868
Table 17. Quotient of the GF(25^2)-maximal Hermitian curve over a group Z_5 x Z_5 of order 25.Lower bound 1026 for q=625, g=8
http://www.manypoints.org/Details.aspx?e1=16867
Table 17. Quotient of the GF(25^2)-maximal Hermitian curve over an automorphism group of order 39.Lower bound 1274 for q=361, g=24
http://www.manypoints.org/Details.aspx?e1=16866
Table 15. Quotient of the GF(19^2)-maximal Hermitian curve over a symmetric group Sym(3).Lower bound 1160 for q=361, g=21
http://www.manypoints.org/Details.aspx?e1=16865
Table 15. Quotient of the GF(19^2)-maximal Hermitian curve over a quaternion group of order 8.Lower bound 894 for q=361, g=14
http://www.manypoints.org/Details.aspx?e1=16864
Table 15. Quotient of the GF(19^2)-maximal Hermitian curve over a dicyclic group of order 12.Lower bound 1820 for q=289, g=45
http://www.manypoints.org/Details.aspx?e1=16863
Table 14. Quotient of the GF(17^2)-maximal Hermitian curve over a Singer group of order 3.Lower bound 698 for q=289, g=12
http://www.manypoints.org/Details.aspx?e1=16862
Table 14. Quotient of the GF(17^2)-maximal Hermitian curve over a dihedral group of order 8.Lower bound 664 for q=289, g=11
http://www.manypoints.org/Details.aspx?e1=16861
Table 14. Quotient of the GF(17^2)-maximal Hermitian curve over a dicyclic group of order 12.Lower bound 460 for q=289, g=5
http://www.manypoints.org/Details.aspx?e1=16860
Table 14. Quotient of the GF(17^2)-maximal Hermitian curve over a group Z_6 x Z_3 of order 18.Lower bound 846 for q=169, g=26
http://www.manypoints.org/Details.aspx?e1=16859
Table 12. Quotient of the GF(13^2)-maximal Hermitian curve over a cyclic group of order 3.