Elliptic curve

Results: 1220



#Item
671Internet Key Exchange / Diffie–Hellman key exchange / Elliptic curve cryptography / Hellman / Key size / Request for Comments / XTR / Oakley protocol / Cryptography / Cryptographic protocols / Finite fields

Internet Engineering Task Force (IETF) Request for Comments: 5903 Obsoletes: 4753 Category: Informational ISSN: [removed]

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Source URL: www.rfc-editor.org

Language: English - Date: 2010-06-11 19:22:25
672Modular arithmetic / Algebraic number theory / Quadratic residue / Integer factorization algorithms / Lenstra elliptic curve factorization / Quadratic reciprocity / Abstract algebra / Mathematics / Number theory

Roots of Polynomials in Subgroups of F∗p and Applications to Congruences Enrico Bombieri, Jean Bourgain, Sergei Konyagin IAS, Princeton, IAS Princeton, Moscow State University

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Source URL: www.fields.utoronto.ca

Language: English - Date: 2008-11-03 09:49:23
673Integer factorization algorithms / Quadratic sieve / General number field sieve / Special number field sieve / Elliptic curve / Polynomial / Hyperelliptic curve / Quadratic form / Algebraic number field / Abstract algebra / Algebra / Mathematics

On Class Group Computations Using the Number Field Sieve Mark L. Bauer1 and Safuat Hamdy2 1 University of Waterloo

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Source URL: www.iacr.org

Language: English - Date: 2008-09-15 00:54:54
674Integer sequences / General number field sieve / TWIRL / Prime number / RSA / Smooth number / Lenstra elliptic curve factorization / Factorization / Factorial / Integer factorization algorithms / Mathematics / Cryptography

Factoring estimates for a 1024-bit RSA modulus Arjen Lenstra1 , Eran Tromer2 , Adi Shamir2 , Wil Kortsmit3 , Bruce Dodson4 , James Hughes5 , Paul Leyland6 1 Citibank, N.A. and Technische Universiteit Eindhoven,

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Source URL: www.iacr.org

Language: English - Date: 2008-09-15 00:54:54
675Finite fields / Computational complexity theory / Elliptic curve cryptography / Elliptic curves / Elliptic curve / Hyperelliptic curve cryptography / Multiplication / Time complexity / Matrix / Abstract algebra / Mathematics / Cryptography

Parallelizing Explicit Formula for Arithmetic in the Jacobian of Hyperelliptic Curves Pradeep Kumar Mishra and Palash Sarkar Cryptology Research Group, Applied Statistics Unit, Indian Statistical Institute,

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Source URL: www.iacr.org

Language: English - Date: 2008-09-15 00:54:54
676Group theory / Analytic number theory / Number theory / Finite fields / Curve / Birch and Swinnerton-Dyer conjecture / Hessian form of an elliptic curve / Abstract algebra / Mathematics / Elliptic curves

Annales Mathematicae et Informaticae[removed]pp. 145–153 http://ami.ektf.hu The rank of certain subfamilies of the elliptic curve Y 2 = X 3 − X + T 2∗

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Source URL: ami.ektf.hu

Language: English - Date: 2012-12-19 11:45:10
677Group theory / Lenstra elliptic curve factorization / Elliptic curve / Elliptic curve cryptography / Torsion / Edwards curve / Elliptic curve primality testing / Algebraic-group factorisation algorithm / Abstract algebra / Finite fields / Integer factorization algorithms

Edwards Curves and the ECM Factorisation Method Peter Birkner Eindhoven University of Technology Fields Cryptography Retrospective Meeting

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Source URL: www.fields.utoronto.ca

Language: English - Date: 2009-05-14 13:31:42
678Cryptography / Elliptic curves / Logarithms / Discrete logarithm / Hyperelliptic curve / Hyperelliptic curve cryptography / Counting points on elliptic curves / Abstract algebra / Finite fields / Group theory

Towards an exact cost analysis of index-calculus algorithms ECC 2006 Nicolas Thériault [removed] Fields Institute

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Source URL: www.fields.utoronto.ca

Language: English - Date: 2006-09-22 13:16:31
679Number theory / Triangle geometry / Elliptic curves / Lenstra elliptic curve factorization / Pythagorean triple / Analytic number theory / Group theory / Mathematics

DOI: [removed]auom[removed]An. S ¸ t. Univ. Ovidius Constant ¸a Vol. 22(2),2014, 79–90

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Source URL: www.anstuocmath.ro

Language: English - Date: 2014-04-14 09:34:04
680Analytic number theory / Elliptic curve / Group theory / Möbius transformation / Spectral theory of ordinary differential equations / Theorems and definitions in linear algebra / Mathematics / Geometry / Mathematical analysis

On quadratic twists of elliptic curves y 2 = x(x − 1)(x − λ) ´ and Luka Lasic ´ Andrej Dujella, Ivica Gusic University of Zagreb, Croatia

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Source URL: bib.irb.hr

Language: English - Date: 2013-07-17 04:06:11
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