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Rethinking low genus hyperelliptic Jacobian arithmetic over binary fields: interplay of field arithmetic and explicit formulæ.

, , and . J. Mathematical Cryptology, 2 (3): 227-255 (2008)

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A double large prime variation for small genus hyperelliptic index calculus., , , and . Math. Comput., 76 (257): 475-492 (2007)Symbolic Trisection Polynomials for Genus 2 Curves in Odd Characteristic., and . SIAM J. Discrete Math., 32 (4): 2421-2440 (2018)Efficient Halving for Genus 3 Curves over Binary Fields., and . IACR Cryptology ePrint Archive, (2009)SPA Resistant Left-to-Right Integer Recodings.. Selected Areas in Cryptography, volume 3897 of Lecture Notes in Computer Science, page 345-358. Springer, (2005)Solving Discrete Logarithms from Partial Knowledge of the Key., , and . INDOCRYPT, volume 4859 of Lecture Notes in Computer Science, page 224-237. Springer, (2007)Hyperelliptic Curves Performance., and . Encyclopedia of Cryptography and Security (2nd Ed.), Springer, (2011)Trisection for supersingular genus 2 curves in characteristic 2., , and . Adv. in Math. of Comm., 8 (4): 375-387 (2014)Unified Point Addition Formulæ and Side-Channel Attacks., and . IACR Cryptology ePrint Archive, (2005)Faster Halvings in Genus 2., and . Selected Areas in Cryptography, volume 5381 of Lecture Notes in Computer Science, page 1-17. Springer, (2008)Index Calculus Attack for Hyperelliptic Curves of Small Genus.. ASIACRYPT, volume 2894 of Lecture Notes in Computer Science, page 75-92. Springer, (2003)