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Field arithmetic
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#	Item
71	Universally Constructing 12-th Degree Extension Field for Ate Pairing Masaaki Shirase School of Systems Information, Future University Hakodate, 116-2 Kamedanakano, Hakodate, Hokkaido, Japan Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-02-18 23:01:15 Modular arithmetic Quadratic residue Algebraic number theory Group theory Cubic reciprocity Legendre symbol Prime number Elliptic curve Finite field Abstract algebra Number theory Mathematics
72	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
73	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
74	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
75	COMBINATIONAL LOGIC DESIGN FOR AES SUBBYTE TRANSFORMATION ON MASKED DATA ELENA TRICHINA Abstract. Low power consumption, low gate count and high throughput used to be standard design criteria for cryptographic coprocesso Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2003-11-12 00:19:16 Binary arithmetic Mathematics Mask GF Finite field arithmetic XTR Finite fields Cryptography Advanced Encryption Standard
76	Baltic Way 2002 mathematical team contest Tartu, November 2, 2002 Problems and solutions 1. Solve the system of equations  3  a + 3ab2 + 3ac2 − 6abc = 1 Add to Reading List Source URL: www.georgmohr.dk Language: English - Date: 2005-02-22 03:57:24 Algebraic number theory XTR Quadrilateral Modular arithmetic Number theory Algebraic number field Fibonacci number Abstract algebra Mathematics Ring theory
77	Privacy-Preserving Set Operations Lea Kissner Dawn Song Add to Reading List Source URL: www.cs.cmu.edu Language: English - Date: 2006-11-19 16:59:50 Polynomials Commutative algebra Multiset Invariant theory IP Computer algebra Factorization of polynomials over a finite field and irreducibility tests Arithmetic circuit complexity Abstract algebra Mathematics Algebra
78	PDF Document Add to Reading List Source URL: www.teacherled.com Language: English - Date: 2011-05-23 09:15:31 Mental arithmetic Mental calculation Multiplication Mathematics Field theory
79 $Elementary arithmetic / Field theory / Group theory / Number / Pi / Continued fraction / Fraction / Integer / Rational number / Mathematics / Abstract algebra / Elementary mathematics$	University of Scranton ACM Student Chapter / Computing Sciences Department 11th Annual High School Programming Contest (2000) ------------------------------------------------------------------------------ Problem 1: Con Add to Reading List Source URL: www.cs.uofs.edu Language: English - Date: 2007-08-26 21:22:31 Elementary arithmetic Field theory Group theory Number Pi Continued fraction Fraction Integer Rational number Mathematics Abstract algebra Elementary mathematics
80	Certified Computation of Planar Morse-Smale Complexes of Smooth Functions (extended abstract) Amit Chattopadhyay1 Add to Reading List Source URL: www.cs.nyu.edu Language: English - Date: 2012-02-17 15:40:05 Calculus Morse theory Dynamical systems Morse–Smale system Separatrix Manifold Interval arithmetic Gradient-like vector field Hessian matrix Mathematical analysis Mathematics Differential topology

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