Benjamin Smith

Orcid: 0000-0002-6701-1420

Affiliations:
  • École Polytechnique, Paris, France
  • INRIA, France


According to our database1, Benjamin Smith authored at least 48 papers between 2006 and 2024.

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Bibliography

2024
Efficient (3,3)-isogenies on fast Kummer surfaces.
IACR Cryptol. ePrint Arch., 2024

Efficient (3, 3)-isogenies on fast Kummer surfaces.
CoRR, 2024

2023
Deterministic factoring with oracles.
Appl. Algebra Eng. Commun. Comput., July, 2023

Fast and Frobenius: Rational Isogeny Evaluation over Finite Fields.
IACR Cryptol. ePrint Arch., 2023

Advances in asymmetric cryptographic algorithms.
, 2023

2022
Failing to hash into supersingular isogeny graphs.
IACR Cryptol. ePrint Arch., 2022

Efficient supersingularity testing over 픽<sub>p</sub> and CSIDH key validation.
IACR Cryptol. ePrint Arch., 2022

Trustless unknown-order groups.
CoRR, 2022

Quantum-Resistant Software Update Security on Low-Power Networked Embedded Devices.
Proceedings of the Applied Cryptography and Network Security, 2022

2021
CTIDH: faster constant-time CSIDH.
IACR Trans. Cryptogr. Hardw. Embed. Syst., 2021

An atlas of the Richelot isogeny graph.
IACR Cryptol. ePrint Arch., 2021

Automorphisms and isogeny graphs of abelian varieties, with applications to the superspecial Richelot isogeny graph.
IACR Cryptol. ePrint Arch., 2021

Higher-degree supersingular group actions.
IACR Cryptol. ePrint Arch., 2021

Quantum-Resistant Security for Software Updates on Low-power Networked Embedded Devices.
IACR Cryptol. ePrint Arch., 2021

Wavelet: Code-based postquantum signatures with fast verification on microcontrollers.
IACR Cryptol. ePrint Arch., 2021

Extending the GLS endomorphism to speed up GHS Weil descent using Magma.
Finite Fields Their Appl., 2021

Wavelet: Code-based postquantum signatures with fast verification on microcontrollers.
CoRR, 2021

2020
Faster computation of isogenies of large prime degree.
IACR Cryptol. ePrint Arch., 2020

2019
The supersingular isogeny problem in genus 2 and beyond.
IACR Cryptol. ePrint Arch., 2019

Stronger and Faster Side-Channel Protections for CSIDH.
IACR Cryptol. ePrint Arch., 2019

Hash functions from superspecial genus-2 curves using Richelot isogenies.
IACR Cryptol. ePrint Arch., 2019

Distributions of Traces of Frobenius for Smooth Plane Curves Over Finite Fields.
Exp. Math., 2019

2018
Montgomery curves and their arithmetic - The case of large characteristic fields.
J. Cryptogr. Eng., 2018

Quantum Equivalence of the DLP and CDHP for Group Actions.
IACR Cryptol. ePrint Arch., 2018

Towards practical key exchange from ordinary isogeny graphs.
IACR Cryptol. ePrint Arch., 2018

Pre- and Post-quantum Diffie-Hellman from Groups, Actions, and Isogenies.
Proceedings of the Arithmetic of Finite Fields - 7th International Workshop, 2018

2017
qDSA: Small and Secure Digital Signatures with Curve-based Diffie-Hellman Key Pairs.
IACR Cryptol. ePrint Arch., 2017

Montgomery curves and their arithmetic.
CoRR, 2017

Isogenies for point counting on genus two hyperelliptic curves with maximal real multiplication.
CoRR, 2017

2016
Computing cardinalities of -curve reductions over finite fields.
LMS J. Comput. Math., 2016

The ℚ-curve Construction for Endomorphism-Accelerated Elliptic Curves.
J. Cryptol., 2016

\(\mu\)Kummer: efficient hyperelliptic signatures and key exchange on microcontrollers.
IACR Cryptol. ePrint Arch., 2016

Fast, uniform scalar multiplication for genus 2 Jacobians with fast Kummers.
IACR Cryptol. ePrint Arch., 2016

$μ$Kummer: efficient hyperelliptic signatures and key exchange on microcontrollers.
CoRR, 2016

2015
Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes.
IACR Cryptol. ePrint Arch., 2015

Factoring Safe Semiprimes with a Single Quantum Query.
CoRR, 2015

2013
Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians.
IACR Cryptol. ePrint Arch., 2013

Families of fast elliptic curves from Q-curves.
IACR Cryptol. ePrint Arch., 2013

Faster Compact Diffie-Hellman: Endomorphisms on the x-line.
IACR Cryptol. ePrint Arch., 2013

2011
Families of explicitly isogenous Jacobians of variable-separated curves.
LMS J. Comput. Math., 2011

Counting Points on Genus 2 Curves with Real Multiplication.
IACR Cryptol. ePrint Arch., 2011

2010
Model Free Human Pose Estimation with Application to the Classification of Abnormal Human Movement and the Detection of Hidden Loads.
PhD thesis, 2010

2009
Isogenies and the Discrete Logarithm Problem in Jacobians of Genus 3 Hyperelliptic Curves<sup>, </sup>.
J. Cryptol., 2009

Distortion maps for supersingular genus two curves.
J. Math. Cryptol., 2009

2007
Isogenies and the Discrete Logarithm Problem on Jacobians of Genus 3 Hyperelliptic Curves.
IACR Cryptol. ePrint Arch., 2007

2006
Discrete Logarithms in Generalized Jacobians.
IACR Cryptol. ePrint Arch., 2006

Distortion maps for genus two curves.
IACR Cryptol. ePrint Arch., 2006

Efficiently Computable Endomorphisms for Hyperelliptic Curves.
Proceedings of the Algorithmic Number Theory, 7th International Symposium, 2006


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