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| Submitted by |
Gerrit Oomens |
| Date |
01-01-1900 |
| Reference |
H. Niederreiter, C. P. Xing
Cyclotomic function fields, Hilbert class fields and global function fields with many rational places
Acta Arithm. 79 (1997), p. 59-76.
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Comments
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| Tags |
Drinfeld modules of rank 1 |
User comments
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reference corrected
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Isabel Pirsic
06-15-2012 12:23
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The above def. equation was actually from
B. Lopez, I. Luengo
Algebraic curves over F_3 with many rational points
In: Algebra, arithmetic and geometry with applications.
The def.Eq. for Example 3.7 in Niederreiter/Xing's paper is
y^8 +
(2*x^5 + x^4 + x^3 + x^2 + x + 2)*y^7 +
(x^7 + x^6 + x^5 + 2*x^4 + 2*x^3 + x^2 + x + 1)*y^6 +
(x^10 + x^8 + 2*x^3 + 2)*y^5 +
(x^14 + x^12 + x^10 + 2*x^8 + 2*x^7 + x^4 + 2*x^2 + 2*x + 1)*y^4 +
(2*x^15 + 2*x^14 + 2*x^12 + 2*x^11 + 2*x^8 + x^7 + x^6 + x^5 + 2*x^2 + 2*x + 2)*y^3 +
(x^14 + x^12 + x^11 + 2*x^8 + 2*x^3 + 1)*y^2 +
(2*x^11 + x^8 + 2*x^7 + x^5 + 2*x^3 + x^2 + x + 2)*y +
x^4 + x^3 + x^2 + x + 1
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Defining equation
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Isabel Pirsic
06-08-2012 18:01
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2*x*y^5 +
(2*x^3 + x^2 + 2*x + 1)*y^4 +
(x^4 + x^3 + x + 2)*y^3 +
(2*x^4 + x)*y^2 +
(2*x^5 + x^4 + x^3 + 2*x^2 + 2*x)*y +
2*x^4 + x^3
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| Submitted by |
Everett Howe |
| Date |
04-14-2010 |
| Reference |
Kristin Lauter
Zeta functions of curves over finite fields with many rational points
pp. 167–174 in: Coding theory, cryptography and related areas (J. Buchmann, T. Høholdt, H. Stichtenoth, H. Tapia-Recillas, eds.), Springer, Berlin 1998
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Comments
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| Tags |
None |
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