Montgomery curve

Results: 13



#Item
1Elliptic curve cryptography / Elliptic curves / Abstract algebra / Geometry / Algebra / Twisted Hessian curves / Hessian form of an elliptic curve / Twisted Edwards curve / Elliptic curve / Edwards curve / Montgomery curve / Cubic plane curve

Twisted Hessian curves Daniel J. Bernstein1,2 , Chitchanok Chuengsatiansup1 , David Kohel3 , and Tanja Lange1 1 Department of Mathematics and Computer Science

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Source URL: iml.univ-mrs.fr

Language: English - Date: 2015-09-01 15:57:48
2Modular arithmetic / Computer arithmetic / Finite fields / Binary operations / Multiplication / Residue number system / Elliptic curve point multiplication / Multiplication algorithm / General-purpose computing on graphics processing units / Montgomery modular multiplication / XTR / Division algorithm

doicomjnl/bxr119

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Source URL: www.inesc-id.pt

Language: English - Date: 2011-12-03 09:51:22
3

Notes on a disturbing error found in the book Sub-Riemannian Geometry - general theory and examples’ by Calin and Chang The authors assert in Theorem 4.2.2., p 88, that a smooth curve φ is a minimizer to the fixed end

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Source URL: montgomery.math.ucsc.edu

Language: English - Date: 2009-11-09 00:06:47
    4Demand / Consumer theory / Marginal concepts / Supply and demand / Marginal cost / Supply / Profit maximization / Cost curve / Marginal product of labor / Economics / Microeconomics / Costs

    Economics 111 Exam 1 Prof Montgomery

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    Source URL: www.ssc.wisc.edu

    Language: English - Date: 2009-05-14 12:23:37
    5Finite fields / Elliptic curves / Elliptic curve / Montgomery curve / Twisted Edwards curve / Curve / Edwards curve / XTR / Lenstra elliptic curve factorization / Abstract algebra / Cryptography / Elliptic curve cryptography

    draft-irtf-cfrg-curves-02 - Elliptic Curves for Security

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    Source URL: tools.ietf.org

    Language: English - Date: 2015-06-15 16:32:44
    6Elliptic curves / Twisted Edwards curve / Elliptic curve / Montgomery curve / Edwards curve / Hyperelliptic curve cryptography / Curve / Elliptic Curve DSA / Table of costs of operations in elliptic curves / Cryptography / Elliptic curve cryptography / Abstract algebra

    Twisted Edwards-Form Elliptic Curve Cryptography for 8-bit AVR-based Sensor Nodes Dalin Chu Johann Großschädl

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    Source URL: eprint.iacr.org

    Language: English - Date: 2013-03-25 20:03:52
    7Finite fields / Computer arithmetic / Group theory / Lenstra elliptic curve factorization / Elliptic curves / Elliptic curve / Montgomery reduction / Division / ECM Records / Abstract algebra / Integer factorization algorithms / Mathematics

    Implementing the Elliptic Curve Method of Factoring in Reconfigurable Hardware Kris Gaj1 , Soonhak Kwon2 , Patrick Baier1 , Paul Kohlbrenner1 , Hoang Le1 , Mohammed Khaleeluddin1 , Ramakrishna Bachimanchi1 1

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    Source URL: www.iacr.org

    Language: English - Date: 2009-03-05 01:42:52
    8Analytic number theory / Elliptic curve / Group theory / Hyperelliptic curve cryptography / Elliptic curve cryptography / Cryptography / Abstract algebra / Elliptic curves

    . Variants of the Montgomery form based on Theta functions Pierrick Gaudry [removed]

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    Source URL: www.fields.utoronto.ca

    Language: English - Date: 2006-11-15 13:29:11
    9Kristin Lauter / Post-quantum cryptography / Neal Koblitz / Institute for Pure and Applied Mathematics / Gerhard Frey / Peter Montgomery / Elliptic curve cryptography / Lattice-based cryptography / Cryptography / Number theorists / Mathematics

    Institute for Pure and Applied Mathematics, UCLA presents Securing Cyberspace: Application and Foundations of Cryptography and Computer Security Workshop I: Number Theory and

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    Source URL: www.ipam.ucla.edu

    Language: English - Date: 2006-10-05 20:10:14
    10Polynomials / Finite fields / Integer factorization algorithms / Lenstra elliptic curve factorization / Fast Fourier transform / Elliptic curve / Peter Montgomery / Prime number / Factorization / Abstract algebra / Mathematics / Algebra

    UNIVERSITY OF CALIFORNIA Los Angeles An FFT Extension of the Elliptic Curve Method of Factorization A dissertation submitted in partial satisfaction of the

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    Source URL: research.microsoft.com

    Language: English - Date: 2011-10-25 12:19:40
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