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hal-00932952v1  Conference papers
Craig CostelloHuseyin HisilBenjamin Smith. Faster Compact Diffie-Hellman: Endomorphisms on the x-line
EUROCRYPT 2014, International Association for Cryptologic Research, May 2014, Copenhagen, Denmark. pp.183-200, ⟨10.1007/978-3-642-55220-5_11⟩
inria-00537860v1  Conference papers
Benjamin Smith. Isogenies and the Discrete Logarithm Problem in Jacobians of Genus 3 Hyperelliptic Curves
Eurocrypt 2008, International Association for Cryptologic Research, Apr 2008, Istanbul, Turkey. pp.163-180, ⟨10.1007/978-3-540-78967-3_10⟩
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inria-00632118v2  Journal articles
Benjamin Smith. Computing low-degree isogenies in genus 2 with the Dolgachev-Lehavi method
Contemporary mathematics, American Mathematical Society, 2012, Arithmetic, Geometry, Cryptography and Coding Theory, 574, pp.159-170
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hal-01483768v1  Journal articles
Craig CostelloBenjamin Smith. Montgomery curves and their arithmetic
Journal of Cryptographic Engineering, Springer, 2017, Special issue on Montgomery arithmetic, ⟨10.1007/s13389-017-0157-6⟩
hal-02190863v1  Conference papers
Daniel Cervantes-VázquezMathilde ChenuJesús-Javier Chi-DomínguezLuca de FeoFrancisco Rodríguez-Henríquez et al.  Stronger and Faster Side-Channel Protections for CSIDH
Latincrypt 2019 - 6th International Conference on Cryptology and Information Security in Latin, Oct 2019, Santiago de Chile, Chile. ⟨10.1007/978-3-030-30530-7_9⟩
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hal-01300727v1  Conference papers
Joost RenesPeter SchwabeBenjamin SmithLejla Batina. $\mu$Kummer: efficient hyperelliptic signatures and key exchange on microcontrollers
Cryptographic Hardware and Embedded Systems – CHES 2016, IACR, Aug 2016, Santa Barbara, United States. pp.20, ⟨10.1007/978-3-662-53140-2_15⟩
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hal-01872825v3  Conference papers
Benjamin Smith. Pre- and post-quantum Diffie-Hellman from groups, actions, and isogenies
Arithmetic of Finite Fields - WAIFI 2018, Jun 2018, Bergen, Norway. pp.36, ⟨10.1007/978-3-030-05153-2_1⟩
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hal-00874925v1  Journal articles
Benjamin Smith. Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians
Contemporary mathematics, American Mathematical Society, 2015, Algorithmic Arithmetic, Geometry, and Coding Theory, 637, pp.15
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hal-02514201v1  Conference papers
Daniel J. BernsteinLuca de FeoAntonin LerouxBenjamin Smith. Faster computation of isogenies of large prime degree
ANTS-XIV - 14th Algorithmic Number Theory Symposium, Jun 2020, Auckland, New Zealand. pp.39-55, ⟨10.2140/obs.2020.4.39⟩
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hal-01872817v1  Conference papers
Luca de FeoJean KiefferBenjamin Smith. Towards practical key exchange from ordinary isogeny graphs
ASIACRYPT 2018 - 24th Annual International Conference on the Theory and Application of Cryptology and Information Security, Dec 2018, Brisbane, Australia
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hal-00825287v1  Conference papers
Benjamin Smith. Families of fast elliptic curves from Q-curves
Advances in Cryptology - ASIACRYPT 2013, Dec 2013, Bangalore, India. pp.61-78, ⟨10.1007/978-3-642-42033-7_4⟩
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inria-00420605v1  Conference papers
Benjamin Smith. Families of Explicit Isogenies of Hyperelliptic Jacobians
Arithmetic, Geometry, Cryptography and Coding Theory 2009, Mar 2009, Luminy, France. pp.121-144
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hal-01963660v2  Journal articles
Steven GalbraithLorenz PannyBenjamin SmithFrederik Vercauteren. Quantum Equivalence of the DLP and CDHP for Group Actions
Mathematical Cryptology, Florida Online Journals, 2021, 1 (1), pp.40-44
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inria-00516038v1  Journal articles
Benjamin Smith. Families of explicitly isogenous Jacobians of variable-separated curves
LMS Journal of Computation and Mathematics, London Mathematical Society, 2011, 14, pp.179-199. ⟨10.1112/S1461157010000410⟩
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inria-00598029v1  Conference papers
Pierrick GaudryDavid KohelBenjamin Smith. Counting Points on Genus 2 Curves with Real Multiplication
ASIACRYPT 2011, International Association for Cryptologic Research, Dec 2011, Seoul, South Korea. pp.504-519, ⟨10.1007/978-3-642-25385-0_27⟩
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hal-01715832v2  Journal articles
François MorainGuénaël RenaultBenjamin Smith. Deterministic factoring with oracles
Applicable Algebra in Engineering, Communication and Computing, Springer Verlag, 2021, ⟨10.1007/s00200-021-00521-8⟩
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hal-02389073v2  Conference papers
Craig CostelloBenjamin Smith. The supersingular isogeny problem in genus 2 and beyond
PQCrypto 2020 - 11th International Conference on Post-Quantum Cryptography, Apr 2020, Paris, France
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hal-01320388v3  Journal articles
François MorainCharlotte ScribotBenjamin Smith. Computing cardinalities of Q-curve reductions over finite fields
LMS Journal of Computation and Mathematics, London Mathematical Society, 2016, 19 (A), pp.15. ⟨10.1112/S1461157016000267⟩