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Modular arithmetic
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111	CIS 194: Homework 1 Due Wednesday, January 28 When solving the homework, strive to create not just code that works, but code that is stylish and concise. See the style guide on the website for some general guidelines. Tr Add to Reading List Source URL: www.seas.upenn.edu Language: English - Date: 2015-04-22 09:29:17 Modular arithmetic Error detection and correction Luhn algorithm Bank card number Stack Pi Pandigital number Mechanical puzzles Mathematics Tower of Hanoi
112	Baltic Way 2003 Problems and Solutions 1. Let Q+ be the set of positive rational numbers. Find all functions f : Q+ → Q+ which for all x ∈ Q+ fulfil (1) : f ( x1 ) = f (x) (2) : (1 + x1 )f (x) = f (x + 1) Add to Reading List Source URL: www.georgmohr.dk Language: English - Date: 2005-08-27 11:22:17 Algebraic number theory Field theory Modular arithmetic Coprime Divisor Fibonacci number Rational number Lattice Euclidean algorithm Mathematics Abstract algebra Number theory
113	C:/Documents and Settings/Bruger/Dokumenter/latexdok/mc09pben.dvi Add to Reading List Source URL: www.georgmohr.dk Language: English - Date: 2008-11-28 09:41:26 Number theory Modular arithmetic
114	A GROSS-ZAGIER FORMULA FOR QUATERNION ALGEBRAS OVER TOTALLY REAL FIELDS EYAL Z. GOREN & KRISTIN E. LAUTER Abstract. We prove a higher dimensional generalization of Gross and Zagier’s theorem on the factorization of dif Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2011-12-08 21:38:03 Number theory Modular arithmetic Analytic number theory Class field theory Symbol Artin reciprocity law Frobenius endomorphism Valuation Modular form Abstract algebra Mathematics Algebraic number theory
115	1 Square root computation over even extension fields Gora Adj 1 Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2013-07-18 17:22:53 Modular arithmetic Quadratic residue Field theory Exponentials Tonelli–Shanks algorithm Exponentiation by squaring Polynomial basis Quadratic reciprocity Finite field Abstract algebra Mathematics Number theory
116	New Branch Prediction Vulnerabilities in OpenSSL and Necessary Software Countermeasures Onur Acıic¸mez1 , Shay Gueron2,3 , and Jean-Pierre Seifert4 1 Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2007-02-06 20:58:58 Modular arithmetic Public-key cryptography Computer arithmetic Electronic commerce RSA Blinding Montgomery reduction Modular multiplicative inverse Euclidean algorithm Cryptography Mathematics Abstract algebra
117	The Statistical Zero-knowledge Proof for Blum Integer Based on Discrete Logarithm∗ Chunming Tang † Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2003-11-03 03:50:58 Integer sequences Modular arithmetic Quadratic residue Zero-knowledge proof Blum integer Non-interactive zero-knowledge proof Proof of knowledge NP IP Cryptography Mathematics Cryptographic protocols
118	Efficient Java Implementation of Elliptic Curve Cryptography for J2ME-Enabled Mobile Devices Johann Großsch¨adl1 , Dan Page2 , and Stefan Tillich2 1 University of Luxembourg, CSC Research Unit, LACS, Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2012-08-28 16:24:04 Computer arithmetic Finite fields Group theory Binary arithmetic Cryptography Elliptic curve cryptography Arbitrary-precision arithmetic Modular arithmetic XTR Abstract algebra Mathematics Arithmetic
119	New Speed Records for Montgomery Modular Multiplication on 8-bit AVR Microcontrollers Zhe Liu and Johann Großsch¨adl University of Luxembourg, Laboratory of Algorithmics, Cryptology and Security (LACS), 6, rue Richard Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2014-04-20 19:34:09 Computer arithmetic Mathematical notation Algebraic structures Mathematical structures Multiplication Montgomery reduction Multiplication algorithm Euclidean algorithm XTR Mathematics Abstract algebra Arithmetic
120	Efficient Modular Exponentiation-based Puzzles for Denial-of-Service Protection Jothi Rangasamy, Douglas Stebila, Lakshmi Kuppusamy, Colin Boyd, and Juan Gonzalez Nieto Information Security Institute, Queensland Universi Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2011-12-08 12:13:25 Computer network security Electronic commerce Computer arithmetic Public-key cryptography RSA Client Puzzle Protocol Modular exponentiation Exponentiation by squaring Abstract algebra Mathematics Modular arithmetic

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