Quadratic integer

Results: 150



#Item
41Cryptography / Lenstra elliptic curve factorization / Quadratic sieve / Integer factorization / Elliptic curve / Primality test / Prime number / Prime factor / Algebraic-group factorisation algorithm / Integer factorization algorithms / Abstract algebra / Mathematics

THE ELLIPTIC CURVE METHOD PAUL ZIMMERMANN The Elliptic Curve Method (ECM for short) was invented in 1985 by H. W. Lenstra, Jr[removed]It is suited to find small — say 9 to 30 digits — prime factors of large numbers. Am

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Source URL: www.loria.fr

Language: English - Date: 2004-09-06 05:03:02
42Number theory / Quadratic sieve / Special number field sieve / General number field sieve / Quadratic residue / Prime number / Factor base / Lattice sieving / RSA / Integer factorization algorithms / Cryptography / Mathematics

Factorization of a 768-bit RSA modulus version 1.4, February 18, 2010 Thorsten Kleinjung1 , Kazumaro Jens Franke3 , Arjen K. Lenstra1 , Emmanuel Thomé4 ,

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Source URL: eprint.iacr.org

Language: English - Date: 2010-02-18 11:19:25
43Integer factorization algorithms / Euclidean algorithm / Multiplication / Computational complexity theory / Algorithm / Time complexity / Multiplication algorithm / Greatest common divisor / Quadratic sieve / Mathematics / Computational number theory / Theoretical computer science

Homework Two, for Fri[removed]CSE 101 When specifying an algorithm, please use pseudocode that is simple and unambiguous. Always justify the correctness and running time of the algorithm, unless these are obvious.

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Source URL: cseweb.ucsd.edu

Language: English - Date: 2014-10-12 01:34:34
44Number theory / Coprime / Algebraic number theory / Prime number / Factorization / Number / Ring / Euclidean algorithm / Quadratic sieve / Mathematics / Abstract algebra / Integer sequences

ADFS::HardDisc4.$.UKMT.JOS.imok.booklets.2015.PoScript

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Source URL: www.ukmt.org.uk

Language: English - Date: 2015-03-31 05:46:20
45Mathematical proofs / Algebraic number theory / Square root of 2 / Infinite descent / Prime number / Pell number / Quadratic residue / Mathematics / Number theory / Integer sequences

√ ¬ 2∈Q — 3 Proofs in ProofPower-HOL R.D. Arthan Lemma 1 Ltd.

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Source URL: www.lemma-one.com

Language: English - Date: 2013-11-11 12:05:25
46Algorithms / Sieve of Eratosthenes / Prime number / Integer factorization algorithms / Happy number / Multiplication / Number / Quadratic sieve / Euclidean algorithm / Mathematics / Primality tests / Elementary arithmetic

T3.TG.17.Numberelationships

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Source URL: www.smpmaths.org.uk

Language: English - Date: 2009-01-20 04:04:02
47Number / Irrational number / Rational number / Real number / Square root / Integer / Natural number / Algebraic number / Quadratic irrational / Mathematics / Abstract algebra / Elementary mathematics

Real Number System Real Number System -18, -1/2, 0, sqrt 2, pi, 47/10 Irrational Numbers pi, sqrt 7

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Source URL: sradai.tripod.com

Language: English - Date: 2012-05-23 14:14:29
48Integer sequences / Finite fields / Public-key cryptography / Cryptographic protocols / Prime number / Richard Schroeppel / Quadratic sieve / Diffie–Hellman key exchange / RSA / Mathematics / Cryptography / Abstract algebra

The Evolution of Public Key Cryptography Martin E. Hellman Crypto ’99 Santa Barbara, CA August 18, 1999 ADD: Loren Kohnfelder and certificates

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Source URL: www.iacr.org

Language: English - Date: 2011-06-15 12:59:08
49Elliptic curves / Finite fields / Modular arithmetic / Integer factorization algorithms / Elliptic curve / Supersingular elliptic curve / Prime number / Quadratic reciprocity / Primality test / Abstract algebra / Mathematics / Number theory

FINDING COMPOSITE ORDER ORDINARY ELLIPTIC CURVES USING THE COCKS-PINCH METHOD D. BONEH, K. RUBIN, AND A. SILVERBERG Abstract. We apply the Cocks-Pinch method to obtain pairing-friendly composite order groups with prescri

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Source URL: eprint.iacr.org

Language: English - Date: 2010-05-03 13:25:59
50Analytic number theory / Riemann surfaces / Field theory / Projective geometry / Linear algebra / Möbius transformation / Quadratic form / Elliptic curve / Algebraic number field / Mathematical analysis / Mathematics / Abstract algebra

ON THE REDUCTION THEORY OF BINARY FORMS MICHAEL STOLL AND JOHN E. CREMONA 1. Introduction In [4], a reduction theory for binary forms of degrees three and four with integer coefficients was developed in detail, the motiv

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Source URL: homepages.warwick.ac.uk

Language: English - Date: 2006-06-26 05:45:46
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