A new method for decomposition in the Jacobian of small genus hyperelliptic curves
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computer Science Applications
Link
http://link.springer.com/content/pdf/10.1007/s10623-016-0184-9.pdf
Reference21 articles.
1. Adleman L.M., DeMarrais J., Huang M.-D. A.: A subexponential algorithm for discrete logarithms over the rational subgroup of the jacobians of large genus hyperelliptic curves over finite fields. In: Adleman L.M., Huang M.-D.A. (eds.) Proceedings of the First International Symposium: Algorithmic Number Theory, ANTS-I, Ithaca, 6–9 May, 1994. Lecture Notes in Computer Science, vol. 877, pp. 28–40. Springer, Berlin (1994).
2. Bosma W., Cannon J., Playoust C.: The Magma algebra system. I. The user language. J. Symb. Comput. 24(3–4), 235–265 (1997). Computational algebra and number theory (London, 1993).
3. Diem C.: The GHS attack in odd characteristic. J. Ramanujan Math. Soc. 18(1), 1–32 (2003).
4. Diem C., Thomé E.: Index calculus in class groups of non-hyperelliptic curves of genus three. J. Cryptol. 21(4), 593–611 (2008).
5. Enge A.: Computing discrete logarithms in high-genus hyperelliptic Jacobians in provably subexponential time. Math. Comput. 71(238), 729–742 (2002).
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