Index calculus algorithm

Results: 26



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21Finite fields / Logarithms / Computational hardness assumptions / Group theory / Diffie–Hellman problem / Index calculus algorithm / Discrete logarithm / XTR / Elliptic curve cryptography / Abstract algebra / Cryptography / Mathematics

The Past, evolving Present and Future of Discrete Logarithm Antoine Joux, Andrew Odlyzko and Cécile Pierrot Abstract The first practical public key cryptosystem ever published, the Diffie-Hellman key exchange algorithm,

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Source URL: www.dtc.umn.edu

Language: English - Date: 2014-06-04 21:00:21
22Finite fields / Group theory / Logarithms / Computational hardness assumptions / Cryptography / Index calculus algorithm / Discrete logarithm / Hyperelliptic curve cryptography / XTR / Abstract algebra / Mathematics / Algebra

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Source URL: www.dtc.umn.edu

Language: English - Date: 2012-07-03 09:59:40
23Group theory / Logarithms / Finite fields / Analytic number theory / Modular arithmetic / Discrete logarithm / XTR / Index calculus algorithm / Cyclic group / Abstract algebra / Mathematics / Algebra

ELEMENTARY THOUGHTS ON DISCRETE LOGARITHMS Carl Pomerance Given a cyclic group G with generator g, and given an element t in G, the discrete logarithm problem is that of computing an integer l with g l = t. The problem o

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2007-04-10 16:50:22
24Finite fields / Group theory / Cryptography / Discrete logarithm / Logarithms / Index calculus algorithm / Cyclic group / Prime number / Multiplicative order / Abstract algebra / Algebra / Modular arithmetic

Fixed points for discrete logarithms Mariana Levin, U. C. Berkeley Carl Pomerance, Dartmouth College

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2010-03-09 18:09:19
25Finite fields / Computational hardness assumptions / Group theory / Integer factorization algorithms / Logarithms / Discrete logarithm / Index calculus algorithm / XTR / General number field sieve / Abstract algebra / Mathematics / Cryptography

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Source URL: www.ipa.go.jp

Language: English - Date: 2013-06-03 22:32:58
26Modular arithmetic / XTR / Index calculus algorithm / Diffie–Hellman key exchange / Circumflex / Discrete logarithm / Abstract algebra / Finite fields / Group theory

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Source URL: cr.yp.to

Language: English - Date: 2007-09-03 10:17:00
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