Integer factorization algorithms

Results: 208



#Item
171General number field sieve / Special number field sieve / Integer factorization / Arjen Lenstra / Herman te Riele / Factor base / RSA / Factorization / Jens Franke / Integer factorization algorithms / Cryptography / Mathematics

Factorization of a 1061-bit number by the Special Number Field Sieve Greg Childers

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Source URL: physics.fullerton.edu

Language: English - Date: 2013-11-22 18:19:02
172Modular arithmetic / Euclidean algorithm / Integer factorization algorithms / Diophantine equation / Coprime / Quadratic residue / Commutative algebra / Linear congruence theorem / Erdős–Straus conjecture / Mathematics / Number theory / Abstract algebra

ON SOLVING THE DIOPHANTINE EQUATION x3 + y 3 + z 3 = k ON A VECTOR COMPUTER

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Source URL: euler.free.fr

Language: English - Date: 2001-02-10 08:58:46
173Factor base / Number theory / Congruence of squares / Factorization of polynomials over a finite field and irreducibility tests / Integer factorization algorithms / Mathematics / Quadratic sieve

Factorization of n = 87463 with the Quadratic Sieve To find a factor base consider the values of

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Source URL: www.math.colostate.edu

Language: English - Date: 2008-02-06 11:36:22
174Arithmetic / Factorization / Polynomials / Quantum information science / Factorization of polynomials / Integer factorization / Mathematics / Integer factorization algorithms / Algebra

Factoring numbers with periodic interferograms Vincenzo Tamma Univ. of Maryland, Baltimore County; Univ. degli Studi di Bari;

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Source URL: communications.phas.ubc.ca

Language: English - Date: 2010-06-14 13:08:07
175Integer factorization algorithms / Diophantine geometry / Elliptic curves / Lenstra elliptic curve factorization / Elliptic curve / Birch and Swinnerton-Dyer conjecture / Primality test / Arithmetic of abelian varieties / Euclidean algorithm / Abstract algebra / Mathematics / Finite fields

An overview of the Birch-Swinnerton-Dyer conjecture

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2002-11-15 08:48:53
176Cryptography standards / Integer factorization algorithms / RSA / PKCS1 / PKCS / Optimal asymmetric encryption padding / Integer factorization / Rabin cryptosystem / Digital signature / Cryptography / Public-key cryptography / Key management

Evaluation of Security Level of Cryptography: RSA-OAEP, RSA-PSS, RSA Signature Alfred Menezes

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Source URL: www.ipa.go.jp

Language: English - Date: 2013-06-03 22:32:58
177Numbers / Special number field sieve / General number field sieve / Quadratic sieve / Lenstra elliptic curve factorization / Sieve theory / Prime number / Prime factor / Rational sieve / Integer factorization algorithms / Number theory / Mathematics

The Number Field Sieve Factorization of Large Numbers

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Source URL: wob.iai.uni-bonn.de

Language: English - Date: 2006-11-06 07:51:37
178Numbers / Integer sequences / Finite fields / Primality tests / Prime number / Strong prime / Smooth number / Trial division / XTR / Mathematics / Cryptography / Integer factorization algorithms

THE POLLARD p − 1 FACTORIZATION ALGORITHM FRANCO CAFIERO

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Source URL: math.arizona.edu

Language: English - Date: 2003-10-09 16:15:52
179Integer factorization algorithms / Integer sequences / Prime number / Primality test / RSA / Integer factorization / RSA numbers / Mathematics / Cryptography / Numbers

IMPROVING TRIAL DIVISION: FIRST-DIGIT ANALYSIS FRANCO CAFIERO

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Source URL: math.arizona.edu

Language: English - Date: 2002-07-25 15:23:06
180Greatest common divisor / Digital geometry / Integer factorization algorithms / Line drawing algorithm / Euclidean algorithm / Mathematics

EUROGRAPHICS ’99 / P. Brunet and R. Scopigno (Guest Editors)

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Source URL: www.ai.univ-paris8.fr

Language: English - Date: 1999-08-05 10:30:44
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