Lattice points

Results: 138



#Item
51Cryptography / Analytic geometry / Lattice / Lattice points / Quadratic forms / Ideal lattice cryptography / Spectral theory of ordinary differential equations / Algebra / Mathematics / Abstract algebra

Generating Shorter Bases for Hard Random Lattices Jo¨el Alwen∗ New York University Chris Peikert † Georgia Institute of Technology

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Source URL: eprint.iacr.org

Language: English - Date: 2010-06-25 13:43:28
52Cryptography / Lattice points / Computational number theory / Linear algebra / Lattice problem / Lattice / Normal distribution / Lenstra–Lenstra–Lovász lattice basis reduction algorithm / Vector space / Mathematics / Algebra / Abstract algebra

Improved Nguyen-Vidick Heuristic Sieve Algorithm for Shortest Vector Problem ? Xiaoyun Wang1,2 , Mingjie Liu1 , Chengliang Tian2 and Jingguo Bi2 1 Institute for Advanced Study, Tsinghua University, Beijing, China

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Source URL: eprint.iacr.org

Language: English - Date: 2011-08-28 09:14:48
53Algebra / Computational number theory / Graphics hardware / GPGPU / Cryptography / Lattice problem / Lattice reduction / Lenstra–Lenstra–Lovász lattice basis reduction algorithm / Lattice / Mathematics / Lattice points / Applied mathematics

Parallel Shortest Lattice Vector Enumeration on Graphics Cards? Jens Hermans ??1

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Source URL: eprint.iacr.org

Language: English - Date: 2010-02-26 11:26:24
54Lattice points / Algebraic number theory / Analytic geometry / Lattice / Lenstra–Lenstra–Lovász lattice basis reduction algorithm / Algebraic number field / Field extension / Vector space / Ideal lattice cryptography / Algebra / Abstract algebra / Mathematics

Abstract Fix an integer m > 2 and let K be a number field containing the mth roots of unity with ring of integers R. Suppose that a is an element of K with a = c/d for c, d ∈ R, and that b is an ideal of R relatively

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Source URL: douglassquirrel.com

Language: English - Date: 2013-08-17 18:16:01
55Spheres / Crystallography / Lattice points / Quadratic forms / Sphere packing / Packing problem / Random close pack / Close-packing of equal spheres / E8 lattice / Geometry / Mathematics / Discrete geometry

Can Disordered Sphere Packings Ever Be Maximally Dense? Salvatore Torquato Princeton Center for Theoretical Science Department of Chemistry and Materials Institute, Princeton University, Princeton, NJ, USA

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Source URL: cherrypit.princeton.edu

Language: English - Date: 2008-12-08 18:22:45
56Computer arithmetic / Numerical software / Cross-platform software / Computational number theory / Lattice points / Arbitrary-precision arithmetic / GNU Multiple Precision Arithmetic Library / Euclidean algorithm / Algorithm / Mathematics / Computing / Applied mathematics

Arageli: a Library for Algebraic Computations. Overview of Architecture Sergey S. Lyalin and Nikolai Yu. Zolotykh N.I. Lobachevsky State University, Gagarin ave. 23, Nizhni Novgorod, 603950, Russia [removed]

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Source URL: arageli.org

Language: English - Date: 2006-08-31 11:39:53
57Algebraic structures / Lattice / Lattice theory / Lattice points / Abstract algebra / Mathematics / Algebra

Lattice Walks Restricted to the Positive Quarter Plane (and Octant) Stephen Melczer Joint work with Alin Bostan, Manuel Kauers, Mireille Bousquet-Melou and Marni Mishna

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Source URL: algo.inria.fr

Language: English - Date: 2012-07-06 02:27:33
58Crystallography / Group theory / Euclidean geometry / Lattice / Square lattice / Brillouin zone / Integer lattice / Reciprocal lattice / Leech lattice / Geometry / Abstract algebra / Lattice points

Lattice Green’s Functions of the Higher-Dimensional Face-Centered Cubic Lattices Christoph Koutschan MSR-INRIA Joint Centre, Orsay, France November 7

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Source URL: algo.inria.fr

Language: English - Date: 2011-11-08 08:20:48
59Crystallography / Lattice points / Sphere packing / Spheres / Torus / Packing problem / Bravais lattice / Tetrahedron packing / Geometry / Mathematics / Discrete geometry

PHYSICAL REVIEW E 89, [removed]Dense periodic packings of tori Ruggero Gabbrielli* Interdisciplinary Laboratory for Computational Science, Department of Physics, University of Trento, 38123 Trento, Italy

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Source URL: cherrypit.princeton.edu

Language: English - Date: 2014-02-24 06:28:30
60Theoretical computer science / Cryptography / Lattice points / Quantum information science / Analytic geometry / Lattice / Quantum algorithm / Quantum computer / Lenstra–Lenstra–Lovász lattice basis reduction algorithm / Mathematics / Applied mathematics / Abstract algebra

SOLILOQUY: A CAUTIONARY TALE Peter Campbell, Michael Groves and Dan Shepherd CESG, Cheltenham, UK 1. Introduction The Soliloquy primitive, first proposed by the third author in 2007, is

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Source URL: docbox.etsi.org

Language: English - Date: 2014-10-13 10:57:18
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