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Algebraic number theory
Results: 1596

#	Item
491	Constructing pairing-friendly hyperelliptic curves using Weil restriction David Mandell Freeman (Stanford Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2011-04-01 18:55:43 Cryptography Algebraic surfaces Group theory Analytic number theory Abelian variety Supersingular elliptic curve Pairing Abstract algebra Algebra Elliptic curves
492	Articles Articles on Mathematics Fisher, T., Schaefer, E.F. and Stoll, M. The yoga of the Cassels Tate pairing, LMS J. Comput. Math., 13, 2010, [removed]Kachisa, E.J., Schaefer, E.F. and Scott, M. Constructing Brezing-We Add to Reading List Source URL: math.scu.edu Language: English - Date: 2015-01-28 15:07:01 Number theory Cryptography Algebraic curves Diophantine geometry Analytic number theory Elliptic curve Abelian variety Isogeny Pairing Abstract algebra Mathematics Algebra
493	Arageli: a Library for Algebraic Computations. Overview of Architecture Sergey S. Lyalin and Nikolai Yu. Zolotykh N.I. Lobachevsky State University, Gagarin ave. 23, Nizhni Novgorod, 603950, Russia [removed] Add to Reading List Source URL: arageli.org Language: English - Date: 2006-08-31 11:39:53 Computer arithmetic Numerical software Cross-platform software Computational number theory Lattice points Arbitrary-precision arithmetic GNU Multiple Precision Arithmetic Library Euclidean algorithm Algorithm Mathematics Computing Applied mathematics
494	CONSTRUCTING PAIRING-FRIENDLY HYPERELLIPTIC CURVES USING WEIL RESTRICTION DAVID MANDELL FREEMAN1 AND TAKAKAZU SATOH2 Abstract. A pairing-friendly curve is a curve over a finite field whose Jacobian has small embedding de Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2010-07-03 02:01:33 Algebraic curves Algebraic surfaces Elliptic curves Analytic number theory Abelian varieties Isogeny Hyperelliptic curve Supersingular elliptic curve Weil restriction Algebraic geometry Abstract algebra Geometry
495	Saugata Basu Department of Mathematics Purdue University West Lafayette, IN[removed]ph: ([removed]o[removed] (c) email: [removed] Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2014-07-27 08:57:44 Cylindrical algebraic decomposition Algebraic geometry Computational mathematics Real closed field Computational geometry Discrete mathematics Algorithmic Number Theory Symposium Combinatorics Geometry Mathematics Real algebraic geometry Algebra
496	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
497	A TAXONOMY OF PAIRING-FRIENDLY ELLIPTIC CURVES DAVID FREEMAN1 , MICHAEL SCOTT2 , AND EDLYN TESKE3 1 CWI and Universiteit Leiden Science Park 123, 1098 XG Amsterdam, The Netherlands Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2009-11-20 10:41:04 Elliptic curves Elliptic curve Supersingular elliptic curve Weil pairing Pairing Curve Algebraic number field Elliptic curve cryptography Elliptic divisibility sequence Abstract algebra Mathematics Algebra
498	PDF Document Add to Reading List Source URL: cs.uwaterloo.ca Language: English - Date: 2012-12-27 19:17:47 Integer sequences Prime number Fundamental theorem of arithmetic Gaussian integer Composite number Primality test Algebraic number field Perfect number Number Mathematics Number theory Abstract algebra
499	3-2 A Functional Cryptosystem Using a Group Action YAMAMURA Akihiro The main purpose of this paper is to examine applications of group theoretical concepts to cryptography. We construct a backward deterministic system em Add to Reading List Source URL: www.nict.go.jp Language: English - Date: 2013-11-21 18:57:46 Analytic number theory Modular form Moduli theory Quotient group Algebraic number field Normal subgroup Matrix Spectral theory of ordinary differential equations Representation theory of finite groups Abstract algebra Algebra Group theory

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