Hyperelliptic curve cryptography

Results: 62



#Item
31Elliptic 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
32Group theory / Algebraic curves / Hyperelliptic curve cryptography / Public-key cryptography / Hyperelliptic curve / Elliptic curve / XTR / Discrete logarithm / RAR / Abstract algebra / Finite fields / Cryptography

Efficient Implementation of Genus Three Hyperelliptic Curve Cryptography over F2n Izuru Kitamura and Masanobu Katagi Sony Corporation, Kitashinagawa Shinagawa-ku, Tokyo, Japan {Izuru.Kitamura, Masanobu.Ka

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Source URL: eprint.iacr.org

Language: English - Date: 2003-11-28 08:21:17
33Elliptic curves / Group theory / Finite fields / Number theory / Cryptography / Elliptic divisibility sequence / Division polynomials / Hyperelliptic curve cryptography / Supersingular elliptic curve / Algebra / Abstract algebra / Mathematics

1 A Note on Scalar Multiplication Using Division Polynomials Binglong Chen, Chuangqiang Hu and Chang-An Zhao

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Source URL: eprint.iacr.org

Language: English - Date: 2015-03-25 10:20:16
34Cryptography / Algebraic surfaces / Group theory / Analytic number theory / Abelian variety / Supersingular elliptic curve / Pairing / Abstract algebra / Algebra / Elliptic curves

Constructing pairing-friendly hyperelliptic curves using Weil restriction David Mandell Freeman (Stanford

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Source URL: theory.stanford.edu

Language: English - Date: 2011-04-01 18:55:43
35Algebraic curves / Elliptic curves / Cryptography / Algebraic surfaces / Abelian variety / Niels Henrik Abel / Weil pairing / Hyperelliptic curve / Pairing / Algebraic geometry / Abstract algebra / Geometry

Pairing-friendly Hyperelliptic Curves and Weil Restriction David Mandell Freeman1 (joint work with Takakazu Satoh2 ) 1 CWI

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Source URL: theory.stanford.edu

Language: English - Date: 2009-09-23 22:26:02
36Cryptography / Algebraic curves / Elliptic curves / Algebraic surfaces / Abelian varieties / Weil pairing / Pairing / Tate pairing / Hyperelliptic curve / Abstract algebra / Algebraic geometry / Geometry

Abelian Varieties and Pairing-Based Cryptography Theoretical foundations Practical results Pairing-friendly Hyperelliptic Curves and Weil Restriction

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Source URL: theory.stanford.edu

Language: English - Date: 2009-09-23 22:25:58
37Algebraic curves / Hyperelliptic curve / Divisor / Ample line bundle / Elliptic curve / Linear system of divisors / Infrastructure / Imaginary hyperelliptic curve / Hyperelliptic curve cryptography / Abstract algebra / Algebraic geometry / Algebra

3-3 A Generalized Harley Algorithm for Genus Two Hyperelliptic Curves SUGIZAKI Hiroki, MATSUO Kazuto, CHAO Jinhui, and TSUJII Shigeo A fast addition algorithm for divisor classes of genus two hyperelliptic curves over fi

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Source URL: www.nict.go.jp

Language: English - Date: 2005-09-28 07:33:58
38Elliptic curve / Lenstra elliptic curve factorization / Discrete logarithm / XTR / Elliptic Curve DSA / Prime number / Cyclic group / Hyperelliptic curve cryptography / Hessian form of an elliptic curve / Abstract algebra / Finite fields / Elliptic curve cryptography

Reverse Engineering of Strong CryptoSignatures Schemes

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Source URL: www.reteam.org

Language: English - Date: 2009-05-17 13:10:56
39Algebraic curves / Analytic number theory / Projective geometry / Elliptic curve cryptography / Elliptic curves / Elliptic curve / Hyperelliptic curve / Projective space / Curve / Geometry / Abstract algebra / Algebraic geometry

Sage Reference Manual: Plane curves Release 6.6.beta0 The Sage Development Team February 21, 2015

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Source URL: sagemath.org

Language: English - Date: 2015-02-21 07:35:21
40Algebraic curves / Hyperelliptic curve cryptography / Public-key cryptography / Hyperelliptic curve / Elliptic curve / Coprocessor / Multiplication / Abstract algebra / Cryptography / Mathematics

Finding Optimum Parallel Coprocessor Design for Genus 2 Hyperelliptic Curve Cryptosystems Guido Bertoni and Luca Breveglieri Politecnico di Milano, Italy {bertoni,breveglieri}@elet.polimi.it

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Source URL: www.thomas-wollinger.de

Language: English - Date: 2004-05-03 03:54:01
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