Finite geometry

Results: 308



#Item
121Finite fields / Computational geometry / Matroid theory / Tutte polynomial / Factorization of polynomials over a finite field and irreducibility tests / Mathematics / Polynomials / Elliptic curves

Approximating the average stretch factor of geometric graphs∗ Siu-Wing Cheng† Christian Knauer‡ Stefan Langerman§ Michiel Smid¶ Abstract Let G be a geometric graph whose vertex set S is a set of n points in Rd .

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Source URL: www.cs.ust.hk

Language: English - Date: 2011-01-03 00:53:54
122Post-quantum cryptography / Finite fields / Hidden Field Equations / Affine geometry / Affine transformation / Parity of a permutation / Abstract algebra / Geometry / Mathematics

Equivalent Keys in HFE, C∗ , and variations Christopher Wolf and Bart Preneel K.U.Leuven ESAT-COSIC Kasteelpark Arenberg 10, B-3001 Leuven-Heverlee, Belgium {Christopher.Wolf,Bart.Preneel}@esat.kuleuven.ac.be or chris@

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Source URL: eprint.iacr.org

Language: English - Date: 2005-08-09 08:01:38
123Finite fields / Hidden Field Equations / Mathematics / Affine geometry / Affine transformation / Unbalanced Oil and Vinegar / Differential geometry / Multivariate cryptography / Frobenius group / Post-quantum cryptography / Geometry / Abstract algebra

Equivalent Keys in Multivariate Quadratic Public Key Systems Christopher Wolf1,2 , and Bart Preneel1 1 K.U.Leuven, ESAT-COSIC Kasteelpark Arenberg 10, B-3001 Leuven-Heverlee, Belgium

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Source URL: eprint.iacr.org

Language: English - Date: 2005-12-22 06:53:55
124Surfaces / Differential geometry / Multivariable calculus / Curvature / Willmore energy / Calculus of variations / Differential geometry of surfaces / Partial differential equation / Differential equation / Mathematical analysis / Calculus / Geometry

A finite element method for surface restoration with smooth boundary conditions U. Clarenz, U. Diewald, G. Dziuk, M. Rumpf, R. Rusu Abstract In surface restoration usually a damaged region of a surface has to be replaced

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Source URL: numod.ins.uni-bonn.de

Language: English - Date: 2010-10-07 11:47:37
125Elliptic curves / Finite fields / Analytic number theory / Elliptic curve / Group theory / Edwards curve / Inversive geometry / Hessian form of an elliptic curve / Jacobian curve / Abstract algebra / Cryptography / Elliptic curve cryptography

Novel Precomputation Schemes for Elliptic Curve Cryptosystems Patrick Longa, and Catherine Gebotys Department of Electrical and Computer Engineering University of Waterloo, Canada {plonga, cgebotys}@uwaterloo.ca

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Source URL: eprint.iacr.org

Language: English - Date: 2009-01-08 14:48:27
126Computer algebra / Numerical linear algebra / Finite fields / Algebraic geometry / Error detection and correction / Gröbner basis / Matrix / Hidden Field Equations / Gaussian elimination / Algebra / Mathematics / Abstract algebra

Small Linearization: Memory Friendly Solving of Non-Linear Equations over Finite Fields Christopher Wolf & Enrico Thomae Horst Görtz Institute for IT-security Faculty of Mathematics

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Source URL: eprint.iacr.org

Language: English - Date: 2011-12-14 05:32:54
127Polynomials / Post-quantum cryptography / Computer algebra / Finite fields / Algebraic geometry / Hidden Field Equations / Multivariate cryptography / Gröbner basis / Field extension / Abstract algebra / Algebra / Mathematics

A Family of Weak Keys in HFE (and the Corresponding Practical Key-Recovery) Charles Bouillaguet1 , Pierre-Alain Fouque1 , Antoine Joux2,3 , and Joana Treger2 1 Ecole Normale Supérieure

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Source URL: eprint.iacr.org

Language: English - Date: 2009-12-15 10:42:41
128Sporadic groups / Affine geometry / Projective geometry / Algebraic geometry / Mathieu group / Incidence geometry / Finite geometry / Miracle Octad Generator / Projective space / Geometry / Mathematics / Abstract algebra

Geometry of the 4x4 Square Notes by Steven H. Cullinane A Structure−Endowed Entity "A guiding principle in modern mathematics is this lesson: Whenever you have to do with a structure−endowed entity S, try to determin

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Source URL: finitegeometry.org

Language: English - Date: 2011-03-29 13:29:26
129Incidence geometry / Translation plane / Projective plane / Finite geometry / Generalized quadrangle / Projective space / Skew lines / Orthogonality / Ovoid / Geometry / Mathematics / Projective geometry

Latin−Square Geometry: Orthogonal Latin Squares as Skew Lines Latin−Square Geometry: Orthogonal Latin Squares as Skew Lines by Steven H. Cullinane "While the reader may draw many a moral from our tale,

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Source URL: finitegeometry.org

Language: English - Date: 2006-05-20 23:36:41
130Geometry / Subdivision surface / 3D modeling / Catmull–Clark subdivision surface / Computer representation of surfaces / Applied mathematics / Spline / Geometric design / Differential geometry of surfaces / 3D computer graphics / Multivariate interpolation / Imaging

Integrated Modeling, Finite-Element Analysis, and Engineering Design for Thin-Shell Structures using Subdivision Fehmi Cirak, Michael J. Scott, Erik K. Antonsson, Michael Ortiz and Peter Schr¨oder Division of Engineerin

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Source URL: multires.caltech.edu

Language: English - Date: 2006-06-13 11:16:59
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