Generating pairing-friendly parameters for the CM construction of genus 2 curves over prime fields

Author:

Lauter Kristin,Shang Ning

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Reference25 articles.

1. Balakrishnan J., Belding J., Chisholm S., Eisenträger K., Stange K., Teske E.: Pairings on hyperelliptic curves. http://arxiv.org/PS_cache/arxiv/pdf/0908/0908.3731v2.pdf .

2. Balasubramanian R., Koblitz N.: The improbability that an elliptic curve has subexponential discrete log problem under the Menezes–Okamoto–Vanstone algorithm. J. Cryptol. 11(2), 141–145 (1998)

3. Bosma W., Cannon J., Playoust C.: The MAGMA algebra system I: the user language. J. Symb. Comput. 24(3–4), 235–265 (1997)

4. Cardona G., Quer J.: Field of moduli and field of definition for curves of genus 2. In: Shaska, T. (ed.) Computational Aspects of Algebraic Curves, vol. 13, pp. 71–83. World Scientific Publications, Hackensack (2005)

5. Eisenträger K., Lauter K.: A CRT algorithm for constructing genus 2 curves over finite fields. In: Arithmetic, Geometry and Coding Theory AGCT-10 (2005), Séminaires et Congrés 21, pp. 161–176. Société Mathématique de France, Paris (2009).

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