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Fast heuristic algorithms for computing relations in the class group of a quadratic order, with applications to isogeny evaluation.

, , and . LMS J. Comput. Math., 19 (A): 371-390 (2016)

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Explicit Formulas for Real Hyperelliptic Curves of Genus 2 in Affine Representation., , , , and . WAIFI, volume 4547 of Lecture Notes in Computer Science, page 202-218. Springer, (2007)Solving Elliptic Curve Discrete Logarithm Problems Using Weil Descent., , and . IACR Cryptology ePrint Archive, (2001)The Security of Cryptosystems Based on Class Semigroups of Imaginary Quadratic Non-maximal Orders.. ACISP, volume 3108 of Lecture Notes in Computer Science, page 149-156. Springer, (2004)Computing Discrete Logarithms in Quadratic Orders.. J. Cryptol., 13 (4): 473-492 (2000)An Improved Real-Quadratic-Field-Based Key Exchange Procedure., , and . J. Cryptol., 19 (2): 211-239 (2006)Sieving Methods for Class Group Computation., , , , and . Algorithmic Algebra and Number Theory, page 3-10. Springer, (1997)Fast heuristic algorithms for computing relations in the class group of a quadratic order, with applications to isogeny evaluation., , and . LMS J. Comput. Math., 19 (A): 371-390 (2016)Balanced NUCOMP., , and . CASC, volume 12291 of Lecture Notes in Computer Science, page 402-420. Springer, (2020)Empirical optimization of divisor arithmetic on hyperelliptic curves over F2m., and . Adv. in Math. of Comm., 7 (4): 485-502 (2013)Explicit Formulas for Real Hyperelliptic Curves of Genus 2 in Affine Representation., , and . IACR Cryptology ePrint Archive, (2011)