Suitable Curves for Genus-4 HCC over Prime Fields: Point Counting Formulae for Hyperelliptic Curves of Type y 2=x $^{\rm 2{\it k}+1}$ +ax

Author:

Haneda Mitsuhiro,Kawazoe Mitsuru,Takahashi Tetsuya

Publisher

Springer Berlin Heidelberg

Reference24 articles.

1. Berndt, B.C., Evans, R.J., Williams, K.S.: Gauss and Jacobi Sums, Canadian Mathematical Society Series of Monographs and Advanced Texts, vol. 21. A Wiley-Interscience Publication, Hoboken (1998)

2. Buhler, J., Koblitz, N.: Lattice Basis Reduction, Jacobi Sums and Hyperelliptic Cryptosystems. Bull. Austral. Math. Soc. 58, 147–154 (1998)

3. Cantor, D.G.: Computing in the Jacobian of hyperelliptic curve. Math. Comp. 48, 95–101 (1987)

4. Cohen, H.: A Course in Computational Algebraic Number Theory, Graduate Texts in Mathematics, vol. 138. Springer, Heidelberg (1996)

5. Lecture Notes in Computer Science;I. Duursma,1999

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