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papers

Publications (21)

math.NT2016

Computing cardinalities of Q-curve reductions over finite fields

FranÃ§ois Morain, Charlotte Scribot, Benjamin Smith

cs.CR2017

Montgomery curves and their arithmetic

Craig Costello, Benjamin Smith

cs.CR2016

$Î¼$Kummer: efficient hyperelliptic signatures and key exchange on microcontrollers

Joost Renes, Peter Schwabe, Benjamin Smith +1

math.NT2010

Families of explicitly isogenous Jacobians of variable-separated curves

Benjamin Smith

math.AG2015

Distributions of traces of Frobenius for smooth plane curves over finite fields

Reynald Lercier, Christophe Ritzenthaler, Florent Rovetta +2

astro-ph2003

Cessation of X-ray Pulsation of GX 1+4

Wei Cui, Benjamin Smith

math.NT2006

Distortion maps for genus two curves

Steven D. Galbraith, Jordi PujolÃ s, Christophe Ritzenthaler +1

math.NT2011

Counting Points on Genus 2 Curves with Real Multiplication

Pierrick Gaudry, David Kohel, Benjamin Smith

cs.CR2019

Hash functions from superspecial genus-2 curves using Richelot isogenies

Wouter Castryck, Thomas Decru, Benjamin Smith

q-bio.PE2017

A new version of the CABLE land surface model, incorporating land-use change, woody vegetation demography and a novel optimisation-based approach to plant coordination of photosynthesis

Vanessa Haverd, Benjamin Smith, Lars Nieradzik +4

cs.CR2018

Towards practical key exchange from ordinary isogeny graphs

Luca De Feo, Jean Kieffer, Benjamin Smith

math.NT2015

Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes

Ping Ngai Chung, Craig Costello, Benjamin Smith

math.NT2009

Isogenies and the Discrete Logarithm Problem in Jacobians of Genus 3 Hyperelliptic Curves

Benjamin Smith

math.NT2013

Families of fast elliptic curves from Q-curves

Benjamin Smith

cs.CR2017

qDSA: Small and Secure Digital Signatures with Curve-based Diffie--Hellman Key Pairs

Joost Renes, Benjamin Smith

math.NT2009

Families of Explicit Isogenies of Hyperelliptic Jacobians

Benjamin Smith

math.NT2012

Computing low-degree isogenies in genus 2 with the Dolgachev-Lehavi method

Benjamin Smith

math.NT2013

Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians

Benjamin Smith

math.NT2017

Isogenies for point counting on genus two hyperelliptic curves with maximal real multiplication

Sean Ballentine, Aurore Guillevic, Elisa Lorenzo GarcÃa +4

cs.CR2015

The Q-curve construction for endomorphism-accelerated elliptic curves

Benjamin Smith

quant-ph2017

Publications (21)

Computing cardinalities of Q-curve reductions over finite fields

Montgomery curves and their arithmetic

$Î¼$Kummer: efficient hyperelliptic signatures and key exchange on microcontrollers

Families of explicitly isogenous Jacobians of variable-separated curves

Distributions of traces of Frobenius for smooth plane curves over finite fields

Cessation of X-ray Pulsation of GX 1+4

Distortion maps for genus two curves

Counting Points on Genus 2 Curves with Real Multiplication

Hash functions from superspecial genus-2 curves using Richelot isogenies

A new version of the CABLE land surface model, incorporating land-use change, woody vegetation demography and a novel optimisation-based approach to plant coordination of photosynthesis

Towards practical key exchange from ordinary isogeny graphs

Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes

Isogenies and the Discrete Logarithm Problem in Jacobians of Genus 3 Hyperelliptic Curves

Families of fast elliptic curves from Q-curves

qDSA: Small and Secure Digital Signatures with Curve-based Diffie--Hellman Key Pairs

Families of Explicit Isogenies of Hyperelliptic Jacobians

Computing low-degree isogenies in genus 2 with the Dolgachev-Lehavi method

Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians

Isogenies for point counting on genus two hyperelliptic curves with maximal real multiplication

The Q-curve construction for endomorphism-accelerated elliptic curves

Factoring Safe Semiprimes with a Single Quantum Query