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Sieving in Function Fields

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Encyclopedia of Cryptography and Security
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  1. Adleman LM, Huang M-D (1999) Function field sieve methods for discrete logarithms over finite fields. Inform Comput 151(1):5–16

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  2. Adleman LM, De Marrais J, Huang M-D (1994) A subexponential algorithm for discrete logarithms over the rational subgroup of the Jacobians of large genus hyperelliptic curves over finite fields. In: Adleman LM, Huang M-D (eds) 1st algorithmic number theory symposium (ANTS-I), Cornell University, 6–9 May 1994. Lecture notes in computer science, vol 877. Springer, Berlin, pp 28–40

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  3. Enge A, Gaudry P (2007) An \(L(1/3 + \epsilon )\) algorithm for the discrete logarithm problem for low degree curves. In: Naor M (ed) Advances in cryptology – EUROCRYPT 2007. Lecture notes in computer science, vol 4515. Springer, Berlin, pp 379–393

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  4. Flassenberg R, Paulus S (1999) Sieving in function fields. Exp Math 8:339–349

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  5. Hafner JL, McCurley KS (1989) A rigorous subexponential algorithm for computation of class groups. J Am Math Soc 2(4): 837–850

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Thome, E. (2011). Sieving in Function Fields. In: van Tilborg, H.C.A., Jajodia, S. (eds) Encyclopedia of Cryptography and Security. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-5906-5_476

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