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Finite fields
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#	Item
731	Book: Theory and Multithreshold Decoding Algorithms TABLE OF CONTENTS (The book will be published in Moscow in Russian, 2006) The foreword of the scientific editor ………………….. Add to Reading List Source URL: www.mtdbest.iki.rssi.ru Language: English - Date: 2010-11-19 14:20:36 Mathematics Information Forward error correction Systematic code Concatenated error correction code Linear code Telecommunications engineering Coding theory Error detection and correction Finite fields
732	Chapter 7 Codes over Subfields In Chapter 6 we looked at various general methods for constructing new codes from old codes. Here we concentrate on two more specialized techniques that result from writing the field F as Add to Reading List Source URL: www.mth.msu.edu Language: English - Date: 2012-08-31 11:04:32 Mathematics Notation Binary Golay code Ternary Golay code Linear code Reed–Solomon error correction Alternant code Dual code Generator matrix Coding theory Error detection and correction Finite fields
733	Advances in the CM method for elliptic curves F. Morain Laboratoire d’Informatique de l’École polytechnique logoX Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2009-05-14 14:22:49 Elliptic curve Group theory Prime number Finite fields Primality tests Elliptic curve primality proving Abstract algebra Mathematics Analytic number theory
734	IMPLEMENTING THE ASYMPTOTICALLY FAST VERSION OF THE ELLIPTIC CURVE PRIMALITY PROVING ALGORITHM F. MORAIN Abstract. The elliptic curve primality proving (ECPP) algorithm is one of the current fastest practical algorithms Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2005-12-13 09:43:17 Number theory Finite fields Conjectures Analytic number theory Elliptic curves Elliptic curve primality proving AKS primality test Quadratic residue Prime number Abstract algebra Mathematics Primality tests
735	Certicom ECC Challenge Abstract Certicom is pleased to present the Certicom Elliptic Curve Cryptosystem (ECC) Challenge. The first of its kind, the ECC Challenge has been developed to increase the industry’s understand Add to Reading List Source URL: www.certicom.com Language: English - Date: 2008-02-26 14:48:25 Finite fields Computational hardness assumptions Group theory Key management Elliptic curve cryptography Elliptic curve Integer factorization Key size Elliptic Curve DSA Abstract algebra Cryptography Mathematics
736	Breaking ECC2K-130 Abstract. Elliptic-curve cryptography is becoming the standard public-key primitive not only for mobile devices but also for high-security applications. Advantages are the higher cryptographic strength Add to Reading List Source URL: www.ecc-challenge.info Language: English - Date: 2009-11-18 08:18:30 Finite fields Finite field arithmetic Hamming weight Elliptic curve cryptography 64-bit Vector space FO DEC Alpha Parallel computing Algebra Mathematics Abstract algebra
737	Pollard’s p 1 Factoring Algorithm As a quick review, Pollard’s p 1 factoring algorithm is eﬃcient only in the case where one of the primes, say p, has the property that p 1 is a product of small primes (such a p 1 Add to Reading List Source URL: www.untruth.org Language: English - Date: 2014-03-18 20:25:11 Prime number Factorization Finite fields Integer factorization algorithms Mathematics Algebra
738	Journal de Théorie des Nombres de Bordeaux 00 (XXXX), 000–000 Non-trivial X Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2009-08-31 00:19:33 Field theory Group theory Elliptic curves Finite fields Abstract algebra Algebraic number theory Algebraic number field
739	A SHINTANI-TYPE FORMULA FOR GROSS–STARK UNITS OVER FUNCTION FIELDS SAMIT DASGUPTA ALISON MILLER Abstract. Let F be a totally real number field of degree n, and let H be a finite abelian extension of F . Let p denote a Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2009-09-15 17:09:34 Field theory Algebraic number theory Algebraic number field Brumer–Stark conjecture Finite field Field Dirichlet series Frobenius endomorphism Spectral theory of ordinary differential equations Abstract algebra Algebra Mathematics
740	Finding Rational Points on Bielliptic Genus 2 Curves E. Victor Flynn, Mathematical Institute, University of Oxford Joseph L. Wetherell†, Department of Mathematics, University of Southern California Abstract We discuss Add to Reading List Source URL: people.maths.ox.ac.uk Language: English* - Date: 2006-07-08 18:57:36 Elliptic curves Elliptic curve Elliptic curve cryptography Constructible universe Finite fields Abstract algebra Analytic number theory Group theory

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