Abstract Interpretation over Non-Lattice Abstract Domains Graeme Gange, Jorge A. Navas, Peter Schachte, Harald Søndergaard, and Peter J. Stuckey Department of Computing and Information Systems, The University of Melbour

Source URL: jorgenavas.github.io

• Mathematics
• Order theory
• Algebra
• Abstract algebra
• Lattice theory
• Lattice
• Partially ordered set
• KnasterTarski theorem
• Complete lattice
• Binary relation
• Join and meet
• Monotonic function

Recent Progress in Linear Algebra and Lattice Basis Reduction Gilles Villard CNRS, ENS de Lyon, INRIA, UCBL, Université de Lyon Laboratoire LIP

Source URL: perso.ens-lyon.fr

• Mathematics
• Algebra
• Cryptography
• Computational number theory
• Lattice points
• Linear algebra
• Lattice-based cryptography
• Lattice reduction
• LenstraLenstraLovsz lattice basis reduction algorithm
• Hermite normal form
• Euclidean algorithm
• Integer relation algorithm

CONTINUED FRACTIONS AND LATTICE SIEVING JENS FRANKE, THORSTEN KLEINJUNG Abstract. We present a new method of lattice sieving which we expect to be faster by a constant factor than the method of Pollard, and which has bee

Source URL: www.hyperelliptic.org

• Integer factorization algorithms
• Mathematics
• Computing
• Quadratic sieve
• Software engineering
• NC
• General number field sieve
• Pure
• Euclidean algorithm

Fast Ideal Lattice-Based KEMs on ARM Cortex-M4 Matthias J. Kannwischer, Joost Rijneveld, Peter Schwabe September 03, 2018

Source URL: kannwischer.eu

• Mathematics
• Algebra
• Abstract algebra
• Post-quantum cryptography
• Multiplication
• Lattice-based cryptography
• Cryptography
• Karatsuba algorithm
• NTRU
• Lattice
• Polynomial ring
• Field extension

arXiv:1805.03418v1 [cs.SC] 9 MayComputing an LLL-reduced basis of the orthogonal lattice Jingwei Chen Chongqing Key Lab of Automated Reasoning & Cognition,

Source URL: arxiv.org

• Cryptography
• Algebra
• Mathematics
• Linear algebra
• Computational number theory
• Lattice points
• Lattice-based cryptography
• Post-quantum cryptography
• LenstraLenstraLovsz lattice basis reduction algorithm
• Lattice reduction
• Lattice
• GramSchmidt process

CRYSTALS – Kyber: a CCA-secure module-lattice-based KEM Joppe Bos∗ , Léo Ducas† , Eike Kiltz‡ , Tancrède Lepoint§ , Vadim Lyubashevsky¶ , John M. Schanckk , Peter Schwabe∗∗ , Gregor Seiler†† , Damien

Source URL: cryptojedi.org

• Cryptography
• Post-quantum cryptography
• Ciphertext indistinguishability
• Ring learning with errors
• Chosen-plaintext attack
• Learning with errors
• Advantage
• Lattice-based cryptography
• Chosen-ciphertext attack
• Digital signature
• Ideal lattice cryptography
• Semantic security

Improved security proofs in lattice-based cryptography: using the Rényi divergence rather than the statistical distance Shi Bai1 , Tancrède Lepoint3 , Adeline Roux-Langlois4 , Amin Sakzad5 , Damien Stehlé2 , and Ron S

Source URL: eprint.iacr.org

• Mathematical analysis
• Mathematics
• Post-quantum cryptography
• Number theory
• Measure theory
• Cryptography
• Algebra
• Distribution
• Support
• Learning with errors
• Weight
• KullbackLeibler divergence

APPLIED PHYSICS LETTERS 106, Texturing the cathode of white organic light-emitting diodes with a lattice of nanoscale scatterers for enhanced light out-coupling Ardavan Oskooia) Department of Electrical En

Source URL: ab-initio.mit.edu

Non-Trivial θ-Vacuum Effects in the 2-d O(3) Model and Quantum Simulation of Non-Abelian Lattice Gauge Theories

Source URL: www.wiese.itp.unibe.ch

Bounding the cache-side-channel leakage of lattice-based signature schemes using program semantics Nina Bindel, Johannes Buchmann, Juliane Krämer, Heiko Mantel, Johannes Schickel, and Alexandra Weber Computer Science De

Source URL: www.mais.informatik.tu-darmstadt.de