Applied Mathematics for Reversers III

Source URL: www.reteam.org

• Modular arithmetic
• Extended Euclidean algorithm
• Modular multiplicative inverse
• Euclidean algorithm
• Greatest common divisor
• Coprime
• Chinese remainder theorem
• Multiplicative inverse
• Quadratic residue
• Mathematics
• Number theory
• Abstract algebra

Journal de Th´eorie des Nombres de Bordeaux 00 (XXXX), 000–000 Solving conics over function fields par Mark van HOEIJ et John CREMONA ´sume

Source URL: homepages.warwick.ac.uk

• Algebraic curves
• Modular arithmetic
• Analytic geometry
• Birational geometry
• Conic section
• Chinese remainder theorem
• Lenstra elliptic curve factorization
• Euclidean algorithm
• Abstract algebra
• Mathematics
• Geometry

2005 Paper 1 Question 7 Discrete Mathematics (a) State and prove the Chinese Remainder Theorem concerning the simultaneous solution of a pair of congruences to co-prime moduli, and the uniqueness of that solution.

Source URL: www.cl.cam.ac.uk

Course Syllabus Math[removed]: Number Theory Spring Semester, 2009 University of West Georgia Instructor: Dr. David G. Robinson, Boyd #306, [removed]E-Mail: [removed]

Source URL: www.westga.edu

• Modular arithmetic
• Integer sequences
• Quadratic residue
• Euclidean plane geometry
• Fermat number
• Prime number
• Chinese remainder theorem
• Euclidean algorithm
• Linear congruence theorem
• Mathematics
• Abstract algebra
• Number theory

1998 Paper 1 Question 7 Discrete Mathematics State and prove the Chinese Remainder Theorem concerning the simultaneous solution of a pair of congruences to co-prime moduli and the uniqueness of that solution.

Source URL: www.cl.cam.ac.uk

How Berger, Felzenbaum and Fraenkel Revolutionized COVERING SYSTEMS The Same Way that George Boole Revolutionized LOGIC Doron ZEILBERGER 1

Source URL: www.emis.de

• Modular arithmetic
• Algebraic logic
• Commutative algebra
• Covering system
• Boolean algebra
• Tautology
• Partition
• Chinese remainder theorem
• Mathematics
• Abstract algebra
• Number theory

USA Mathematical Talent Search Solutions to Problem[removed]www.usamts.org[removed]For how many integers n between 1 and[removed] , inclusive, are the last 2007 digits of n and n3 the same? (If n or n3 has fewer than 2007 d

Source URL: www.usamts.org

• Modular arithmetic
• Prime number
• Multiplicative order
• Modulo operation
• Chinese remainder theorem
• Divisibility rule
• Quadratic residue
• Mathematics
• Number theory
• Abstract algebra

Improved Exponential-time Algorithms for Inhomogeneous-SIS Shi Bai1 , Steven D. Galbraith1 , Liangze Li2 , and Daniel Sheffield1 1 Department of Mathematics, University of Auckland, Auckland, New Zealand. 2

Source URL: eprint.iacr.org

• Modular arithmetic
• Dynamic programming
• Subset sum problem
• NP
• Chinese remainder theorem
• Euclidean algorithm
• Mathematics
• Theoretical computer science
• Applied mathematics

Secure Computation from Random Error Correcting Codes Hao Chen1 , Ronald Cramer2 , Shafi Goldwasser3 , Robbert de Haan4 , and Vinod Vaikuntanathan5 1

Source URL: people.csail.mit.edu

• Finite fields
• Key management
• Secret sharing
• Linear code
• Algebraic geometry
• Secure multi-party computation
• RSA
• Secret sharing using the Chinese remainder theorem
• Verifiable secret sharing
• Cryptography
• Cryptographic protocols
• Coding theory

Remarks and Errata to “A Concrete Introduction to Higher Algebra”, 3rd edition, 2009, by Lindsay N. Childs, published by Springer-Verlag New York (first edition, 1979, second edition, [removed]My thanks to Ted Turner a

Source URL: www.albany.edu

• Modular arithmetic
• Quadratic residue
• Commutative algebra
• Prime number
• Chinese remainder theorem
• Coprime
• Euclidean algorithm
• Mathematical proof
• Mathematics
• Abstract algebra
• Number theory