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Finite fields
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#	Item
511	Finding all elliptic curves with good reduction outside a given set of primes J. E. Cremona and M. P. Lingham Abstract We describe an algorithm for determining elliptic curves defined over a given number field with a giv Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2006-12-14 12:01:45 Number theory Group theory Elliptic curves Diophantine geometry Elliptic curve Birch and Swinnerton-Dyer conjecture Curve Prime number XTR Abstract algebra Mathematics Finite fields
512	Spectral Sequences Daniel Murfet October 5, 2006 In this note we give a minimal presentation of spectral sequences following EGA. We cover essentially only that part of the theory needed in algebraic geometry. In Section Add to Reading List Source URL: therisingsea.org Language: English - Date: 2007-09-05 21:15:00 Algebraic topology Spectral sequences Finite fields Grothendieck spectral sequence Epimorphism XTR Clifford algebra Hodge structure Abstract algebra Algebra Group theory
513	arXiv:math/0509005v1 [math.CA] 1 Sep[removed]Erdos distance problem in vector spaces over finite fields Alex Iosevich and Misha Rudnev February 2, 2008 Add to Reading List Source URL: arxiv.org Language: English - Date: 2008-02-01 19:58:42 Field theory Fourier analysis Fourier transform Joseph Fourier Finite field Abstract algebra Mathematical analysis Algebra
514	AN ABSTRACT OF THE THESIS OF Francisco Rodrguez-Henrquez for the degree of Doctor of Philosophy in Electrical & Computer Engineering presented on June 07, 2000. Title: New Algorithms and Architectures for Arithmetic Add to Reading List Source URL: delta.cs.cinvestav.mx Language: English - Date: 2005-02-12 19:20:36 Cryptography Finite fields Group theory Field theory Linear algebra Polynomial basis Elliptic curve cryptography Anatolii Alexeevitch Karatsuba Elliptic curve Abstract algebra Algebra Mathematics
515	The Evolution of Public Key Cryptography Martin E. Hellman Crypto ’99 Santa Barbara, CA August 18, 1999 ADD: Loren Kohnfelder and certificates Add to Reading List Source URL: www.iacr.org Language: English - Date: 2011-06-15 12:59:08 Integer sequences Finite fields Public-key cryptography Cryptographic protocols Prime number Richard Schroeppel Quadratic sieve Diffie–Hellman key exchange RSA Mathematics Cryptography Abstract algebra
516	FINDING COMPOSITE ORDER ORDINARY ELLIPTIC CURVES USING THE COCKS-PINCH METHOD D. BONEH, K. RUBIN, AND A. SILVERBERG Abstract. We apply the Cocks-Pinch method to obtain pairing-friendly composite order groups with prescri Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-05-03 13:25:59 Elliptic curves Finite fields Modular arithmetic Integer factorization algorithms Elliptic curve Supersingular elliptic curve Prime number Quadratic reciprocity Primality test Abstract algebra Mathematics Number theory
517	Hon.Algorithms (CSCI-GA 3520) , Professor Yap – Fall[removed]MIDTERM EXAM Oct 11, 2012 SOLUTIONS Problem[removed]Points) Consider the recurrence Add to Reading List Source URL: cs.nyu.edu Language: English - Date: 2012-10-25 09:55:30 Combinatorics Selection algorithm XTR Factorial Biconnected component Mathematics Integer sequences Finite fields
518	On the linear complexity of Sidel’nikov Sequences over nonprime fields Nina Brandst¨atter a , Wilfried Meidl b a Johann Radon Institute for Computational and Applied Mathematics, Austrian Add to Reading List Source URL: research.sabanciuniv.edu Language: English - Date: 2008-06-03 16:50:30 Finite fields Binomial coefficient Combinatorics Coding theory Euclidean algorithm Factorization of polynomials over a finite field and irreducibility tests Mathematics Abstract algebra Polynomials
519	The Correctness of the AKS Primality Test in Coq∗ Fl´avio L. C. de Moura1 , Ricardo Tadeu1 1 Departamento de Ciˆencia da Computac¸a˜ o – Universidade de Bras´ılia (UnB) Caixa Postal 4466 – CEP[removed] – B Add to Reading List Source URL: www.cic.unb.br Language: English - Date: 2008-08-12 14:42:17 Primality tests Finite fields Integer sequences Modular arithmetic AKS primality test Prime number XTR Coprime Primality certificate Mathematics Abstract algebra Number theory
520	On the computation of Mordell-Weil and 2-Selmer Groups of Elliptic Curves J. E. Cremona 1 Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2006-06-26 05:45:47 Analytic number theory Algebraic number theory Finite fields Group theory Equations Elliptic curve Quartic function Prime number Algebraic number field Abstract algebra Mathematics Algebra

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