Index calculus algorithm

Results: 26



#Item
1Abstract algebra / Algebra / Mathematics / Group theory / Discrete logarithm / Index calculus algorithm / PohligHellman algorithm / Baby-step giant-step / Limit of a function

A Generic Algorithm for Small Weight Discrete Logarithms in Composite Groups Alexander May? and Ilya Ozerov?? Horst G¨ ortz Institute for IT-Security Ruhr-University Bochum, Germany

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Source URL: www.cits.rub.de

Language: English - Date: 2014-11-18 10:03:56
2Mathematics / Algebra / Logarithms / Polynomial / Index calculus algorithm / Abstract algebra / Computer algebra

On the Function Field Sieve and the Impact of Higher Splitting Probabilities Robert Granger Joint work with Faruk Gölo§lu, Gary McGuire and Jens Zumbrägel

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Source URL: www.cosic.esat.kuleuven.be

Language: English - Date: 2013-09-19 13:56:00
3Abstract algebra / Algebra / Group theory / Mathematics / Logarithms / Computational hardness assumptions / Finite fields / Modular arithmetic / Index calculus algorithm / Discrete logarithm / Baby-step giant-step / Elliptic curve

Revisiting discrete logarithms in medium/small characteristic Antoine Joux CryptoExperts Chaire de Cryptologie de la Fondation de l’UPMC — LIP6

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Source URL: www.cosic.esat.kuleuven.be

Language: English - Date: 2013-09-21 07:48:03
4Group theory / Finite fields / Public-key cryptography / Cryptography / Key management / Discrete logarithm / Index calculus algorithm / ElGamal encryption / Key / XTR / DiffieHellman key exchange / RSA

Master’s thesis in Mathematics The use of elliptic curves in cryptography by Gijsbert van Vliet

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Source URL: www.math.ru.nl

Language: English - Date: 2016-04-18 16:34:53
5Finite fields / Group theory / Logarithms / Public-key cryptography / Computer algebra / Discrete logarithm / CantorZassenhaus algorithm / Index calculus algorithm / Baby-step giant-step / Exponentiation / DiffieHellman key exchange / Algorithm

Public Key Cryptography Using Discrete Logarithms in Finite Fields: Algorithms, Efficient Implementation and Attacks L. Maurits)

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Source URL: www.luke.maurits.id.au

Language: English - Date: 2016-04-23 00:53:29
6Cryptography / Transport Layer Security / Secure communication / Finite fields / Cryptographic protocols / Public-key cryptography / Logjam / DiffieHellman key exchange / Index calculus algorithm / XTR / Elliptic curve DiffieHellman / Key size

Imperfect Forward Secrecy: How Diffie-Hellman Fails in Practice

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Source URL: aaspring.com

Language: English - Date: 2015-08-21 16:58:21
7Transport Layer Security / Secure communication / Finite fields / Cryptographic protocols / Public-key cryptography / Logjam / DiffieHellman key exchange / Index calculus algorithm / XTR / Elliptic curve DiffieHellman / Key size / Safe prime

Imperfect Forward Secrecy: How Diffie-Hellman Fails in Practice

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Source URL: weakdh.org

Language: English - Date: 2015-10-15 14:53:20
8Cryptography / Abstract algebra / Algebra / Finite fields / Public-key cryptography / Computational hardness assumptions / Group theory / DiffieHellman key exchange / Index calculus algorithm / RSA / Discrete logarithm / Elliptic curve cryptography

E-th roots and static Diffie-Hellman using index calculus Antoine Joux1 Joint work with Reynald Lercier2 , David Naccache3 , Emmanuel Thome´ 4 Elliptic Curve Cryptography 2008

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Source URL: www.hyperelliptic.org

Language: English - Date: 2008-10-04 13:47:14
9Abstract algebra / Algebra / Cryptography / Elliptic curves / Elliptic curve cryptography / Group theory / Finite fields / Public-key cryptography / Elliptic curve / Abelian variety / Complex multiplication / Index calculus algorithm

Constructing abelian varieties for cryptographic use Peter Stevenhagen ECC, Utrecht September 22, 2008

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Source URL: www.hyperelliptic.org

Language: English - Date: 2008-10-05 20:16:07
10Logarithms / Computational hardness assumptions / Modular arithmetic / Finite fields / Discrete logarithm / Index calculus algorithm / Elliptic curve / Discrete logarithm records / Abstract algebra / Mathematics / Group theory

Discrete logarithms: Recent progress in small characteristic Antoine Joux CryptoExperts Chaire de Cryptologie de la Fondation de l’UPMC — LIP6

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Source URL: www-fourier.ujf-grenoble.fr

Language: English - Date: 2014-03-31 03:20:36
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