The point decomposition problem over hyperelliptic curves

Author:

Faugère Jean-Charles,Wallet Alexandre

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Reference43 articles.

1. Bardet M., Faugère J.-C., Salvy B.: On the complexity of the $$F5$$ F 5 Gröbner basis algorithm. J. Symb. Comput., pp. 1–24 (2014).

2. Bosma W., Cannon J.: 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. Bouvier C.: The filtering step of discrete logarithm and integer factorization algorithms. Preprint. http://hal.inria.fr/hal-00734654 (2013).

4. Byramjee B., Duquesne S.: Classification of genus 2 curves over $${\cal{F}}_{2}^{n}$$ F 2 n and optimization of their arithmetic. Cryptology ePrint Archive, Report 2004/107 (2004).

5. Choie Y., Yun D.: Isomorphism classes of hyperelliptic curves of genus $$2$$ 2 over $${\cal{F}}_{2}^{n}$$ F 2 n . In: Proceedings of the ACISP 2002. LNCS, vol. 2384, pp. 190–202 (2002).

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