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Modular arithmetic
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#	Item
151	Introduction to mathematical arguments (background handout for courses requiring proofs) by Michael Hutchings A mathematical proof is an argument which convinces other people that something is true. Math isn’t a court Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2003-01-29 15:54:56 Mathematical logic Quantification Algebraic number theory Modular arithmetic Vacuous truth Universal quantification Mathematical proof Existential quantification If and only if Mathematics Abstract algebra Logic
152	MORE ON THE SERRET–HERMITE ALGORITHM KEITH MATTHEWS 1. Introduction A well–known correspondence (r, s) → x between positive solutions (r, s) of r2 +s2 = n satisfying gcd(r, s) = 1 and x satisfying x2 ≡ −1 (mod Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2013-03-13 20:50:07 Euclidean algorithm Modular arithmetic
153	A SCALABLE SYSTEM-ON-A-CHIP ARCHITECTURE FOR PRIME NUMBER VALIDATION Ray C.C. Cheung and Ashley Brown Department of Computing, Imperial College London, United Kingdom Abstract This paper presents a scalable SoC architect Add to Reading List Source URL: www.ashleybrown.co.uk Language: English - Date: 2010-09-16 09:55:04 Number theory Modular arithmetic Finite fields Probabilistic complexity theory Multiplication Miller–Rabin primality test Field-programmable gate array Montgomery reduction Randomized algorithm Mathematics Primality tests Cryptography
154	Mathematical Case Studies: Some Number Theory∗ Rob Arthan [removed] 5 August[removed]Abstract Add to Reading List Source URL: www.lemma-one.com Language: English - Date: 2012-08-05 11:01:51 Prime number Fundamental theorem of arithmetic Divisor Euclidean algorithm Greatest common divisor Modular arithmetic Mathematics Number theory Integer sequences
155	Reconstructing RSA Private Keys from Random Key Bits Nadia Heninger [removed] Hovav Shacham [removed] Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-02-25 20:05:34 Number theory RSA Modular arithmetic Chinese remainder theorem Merkle–Hellman knapsack cryptosystem XTR Public-key cryptography Mathematics Electronic commerce
156	Microsoft Word - Applied Mathematics for Reversers I.doc Add to Reading List Source URL: www.reteam.org Language: English - Date: 2009-05-17 13:10:50 Modular arithmetic Modulo operation Greatest common divisor Modulo Quadratic residue Reduced residue system Abstract algebra Mathematics Number theory
157	Asia Pacific Mathematics Newsletter 1 ClassicalReciprocity Reciprocity Laws Classical Add to Reading List Source URL: www.asiapacific-mathnews.com Language: English - Date: 2014-11-28 01:26:36 Algebraic number theory Modular arithmetic Field theory Number theory Quadratic residue Reciprocity law Algebraic number field Quadratic reciprocity Quartic reciprocity Abstract algebra Mathematics Algebra
158	Extended Hidden Number Problem and Its Cryptanalytic Applications Martin Hlav´ aˇc1, and Tom´ aˇs Rosa1,2 1 Add to Reading List Source URL: crypto.hyperlink.cz Language: English - Date: 2010-02-03 01:38:10 Linear congruence theorem Lattice problem Mathematics Modular arithmetic Cryptography
159	A NOTE ON MONTE CARLO PRIMALITY TESTS AND ALGORITHMIC INFORMATION THEORY Communications on Pure and Applied Add to Reading List Source URL: www.multimedialibrary.com Language: English - Date: 2014-03-05 10:33:18 Randomness Probabilistic complexity theory Modular arithmetic Randomized algorithm Primality certificate Prime number Monte Carlo algorithm Algorithmic information theory Gregory Chaitin Mathematics Primality tests Integer sequences
160	How to crack a Linear Congruential Generator Add to Reading List Source URL: www.reteam.org Language: English - Date: 2009-05-17 13:10:54 Mathematics Linear congruential generator Random number generation Sequence container Modulus RSA Lehmer random number generator Pseudorandom number generators Modular arithmetic Cryptography

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