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A double large prime variation for small genus hyperelliptic index calculus.

, , , and . Math. Comput., 76 (257): 475-492 (2007)

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Counting Points on Hyperelliptic Curves over Finite Fields., and . ANTS, volume 1838 of Lecture Notes in Computer Science, page 313-332. Springer, (2000)A Heuristic Quasi-Polynomial Algorithm for Discrete Logarithm in Finite Fields of Small Characteristic., , , and . EUROCRYPT, volume 8441 of Lecture Notes in Computer Science, page 1-16. Springer, (2014)Imperfect forward secrecy: how Diffie-Hellman fails in practice., , , , , , , , , and 4 other author(s). Commun. ACM, 62 (1): 106-114 (2019)Fast genus 2 arithmetic based on Theta functions.. IACR Cryptology ePrint Archive, (2005)Recent progress on the elliptic curve discrete logarithm problem., and . IACR Cryptology ePrint Archive, (2015)Improved Complexity Bounds for Counting Points on Hyperelliptic Curves., , and . CoRR, (2017)Counting points on genus-3 hyperelliptic curves with explicit real multiplication., , and . CoRR, (2018)An $L (1/3)$ Discrete Logarithm Algorithm for Low Degree Curves, , and . CoRR, (2009)The arithmetic of characteristic 2 Kummer surfaces., and . IACR Cryptology ePrint Archive, (2008)A gmp-based implementation of schönhage-strassen's large integer multiplication algorithm., , and . ISSAC, page 167-174. ACM, (2007)