Partial LLL Reduction Xiaohu Xie Xiao-Wen Chang Mazen Al Borno

Source URL: www.cs.mcgill.ca

• Computational number theory
• Lenstra–Lenstra–Lovász lattice basis reduction algorithm
• Matrices
• QR decomposition
• Orthogonal matrix
• Algebra
• Mathematics
• Numerical linear algebra

Fast Lattice Point Enumeration with Minimal Overhead∗ Daniele Micciancio UCSD [removed] Michael Walter

Source URL: eprint.iacr.org

• Computational complexity theory
• Lattice problem
• Computational number theory
• Lattice points
• Theoretical computer science
• Algorithm
• Lenstra–Lenstra–Lovász lattice basis reduction algorithm
• Time complexity
• Lattice-based cryptography
• Mathematics
• Applied mathematics
• Cryptography

Cryptanalysis of RSA Variants and Implicit Factorization Santanu Sarkar August 20, 2013

Source URL: math.nist.gov

• Abstract algebra
• RSA
• General number field sieve
• Quadratic sieve
• Polynomial
• Lenstra elliptic curve factorization
• Prime number
• Arjen Lenstra
• Factorization
• Cryptography
• Mathematics
• Integer factorization algorithms

Resistance of Randomized Projective Coordinates Against Power Analysis William Dupuy and S´ebastien Kunz-Jacques DCSSI Crypto Lab 51, bd de Latour-Maubourg, 75700 PARIS 07 SP [removed], [removed]

Source URL: www.ssi.gouv.fr

• Analytic number theory
• Group theory
• XTR
• Elliptic curves
• Lenstra elliptic curve factorization
• Projective space
• Finite fields
• Algebra
• Mathematics

from SIAM News, Volume 35, Number 8, October[removed]M.C. Escher: More Mathematics Than Meets the Eye By Sara Robinson As a teenager, number theorist Hendrik Lenstra was fascinated

Source URL: www.msri.org

• Print Gallery
• Hendrik Lenstra
• Droste effect
• Escher
• Woodcuts
• Visual arts
• Printmaking
• M. C. Escher

Elligator Squared Uniform Points on Elliptic Curves of Prime Order as Uniform Random Strings Mehdi Tibouchi NTT Secure Platform Laboratories [removed]

Source URL: fc14.ifca.ai

• Finite fields
• Group theory
• Elliptic curves
• Analytic number theory
• Curve
• Elliptic Curve DSA
• Ellipse
• Lenstra elliptic curve factorization
• Homomorphic signatures for network coding
• Abstract algebra
• Geometry
• Mathematics

„Mathematik ist mein Leben“ Ein Gespräch mit Hendrik W. Lenstra am Rande der Euler-Vorlesung am 29. Mai 2009 in Potsdam der Herausgeber der Mitteilungen, Martin Skutella, und Thomas Vogt vom Medienbüro der DMV. Bit

Source URL: page.math.tu-berlin.de

Lattice Attacks on Digital Signature Schemes N.A. Howgrave-Graham, N.P. Smart MCS Department HPL Laboratories Bristol HPL[removed]

Source URL: www.hpl.hp.com

• Lattice points
• Computational number theory
• Linear algebra
• Public-key cryptography
• Analytic geometry
• Lattice
• Lenstra–Lenstra–Lovász lattice basis reduction algorithm
• Vector space
• RSA
• Algebra
• Mathematics
• Abstract algebra

R. van Bommel Almost all hyperelliptic Jacobians have a bad semi-abelian prime Master’s thesis, 23 June 2014 Supervisor: dr. D. Holmes

Source URL: www.algant.eu

• Elliptic curves
• Abelian varieties
• Algebraic curves
• Number theory
• Semistable abelian variety
• Finite field
• Lenstra elliptic curve factorization
• Hyperelliptic curve cryptography
• Abstract algebra
• Algebraic geometry
• Diophantine geometry

Cryptanalysis of NTRU with two public keys Abderrahmane Nitaj Laboratoire de Math´ematiques Nicolas Oresme Universit´e de Caen, France Email: [removed]

Source URL: www.math.unicaen.fr

• NTRU
• Lattice
• Lenstra–Lenstra–Lovász lattice basis reduction algorithm
• RSA
• Polynomial
• Cryptography
• Post-quantum cryptography
• NTRUEncrypt