Finite fields

Results: 995



#Item
751Analytic number theory / Finite fields / Modular forms / Elliptic curves / Modular arithmetic / Prime number / Lenstra elliptic curve factorization / Hessian form of an elliptic curve / Abstract algebra / Mathematics / Group theory

Mathematical routines for the NIST prime elliptic curves April 05, 2010 Contents

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Source URL: www.nsa.gov

Language: English - Date: 2010-11-08 09:26:06
752Elementary arithmetic / Fraction / Numbers / Pi / XTR / Mathematics / Finite fields / Division

Summer Math Practice for Rising 7th Graders CAMPBELL MIDDLE SCHOOL An International Baccalaureate World School Your task for summer is to complete each problem in your own handwriting on notebook paper. The assignment sh

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Source URL: www.cobbk12.org

Language: English - Date: 2014-05-28 13:37:39
753Cryptography / Group theory / Analytic number theory / Elliptic curve / Number theory / Abstract algebra / Mathematics / Finite fields

ON THE ASYMPTOTIC EFFECTIVENESS OF WEIL DESCENT ATTACKS KORAY KARABINA, ALFRED MENEZES, CARL POMERANCE, AND IGOR E. SHPARLINSKI Abstract. In this paper we investigate the asymptotic effectiveness of the Gaudry-Hess-Smart

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2010-01-26 20:32:00
754Combinatorics / Finite fields / Information theory / Error detection and correction / Linear code / Association scheme / Constant-weight code / Big O notation / Distributed source coding / Mathematics / Coding theory / Discrete mathematics

Numerical results on the asymptotic rate of binary codes A. Barg and David B. Jaffe A BSTRACT. We compute upper bounds on the maximal size of a binary linear code of length n 1000, dimension k, and distance d For each va

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Source URL: www.math.unl.edu

Language: English - Date: 2000-03-22 13:00:52
755Elliptic curve cryptography / Computing / Mathematics / Embedded systems / Sensor node / Elliptic curve / Elliptic Curve DSA / Program optimization / Integrated Encryption Scheme / Finite fields / Wireless sensor network / Cryptography

TinyECC: A Configurable Library for Elliptic Curve Cryptography in Wireless Sensor Networks An Liu, Peng Ning Department of Computer Science North Carolina State University Raleigh, NC 27695

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Source URL: discovery.csc.ncsu.edu

Language: English - Date: 2011-11-09 13:28:30
756Primality tests / Finite fields / Polynomials / Integer factorization algorithms / Field theory / Prime number / Root of unity / Miller–Rabin primality test / Elliptic curve primality testing / Abstract algebra / Mathematics / Algebra

version[removed]Primality testing with Gaussian periods Primality testing with Gaussian periods H. W. Lenstra jr. and Carl Pomerance

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2009-02-25 13:32:39
757Integer factorization algorithms / Modular arithmetic / Primality tests / Finite fields / Miller–Rabin primality test / Prime number / Quadratic reciprocity / Gaussian integer / Coprime / Mathematics / Abstract algebra / Number theory

GENERATING RANDOM FACTORED GAUSSIAN INTEGERS, EASILY NOAH LEBOWITZ-LOCKARD AND CARL POMERANCE Abstract. We present a (random) polynomial-time algorithm to generate a random Gaussian integer with the uniform distribution

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2014-04-22 08:51:43
758Mathematics / Computing / Wireless sensor network / Elliptic Curve DSA / Sensor node / Integrated Encryption Scheme / Program optimization / Elliptic curve / Key size / Finite fields / Cryptography / Elliptic curve cryptography

TinyECC: A Configurable Library for Elliptic Curve Cryptography in Wireless Sensor Networks∗ An Liu Department of Computer Science NC State University, Raleigh, NC[removed]email: [removed]

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Source URL: discovery.csc.ncsu.edu

Language: English - Date: 2011-11-09 13:26:10
759Polynomials / Coding theory / Information theory / Finite fields / Factorization of polynomials over a finite field and irreducibility tests / Anatolii Alexeevitch Karatsuba / Mathematics / Algebra / Linear algebra

DEPARTMENT OF MATHEMATICS & STATISTICS FACULTY OF ARTS AND SCIENCE QUEEN’S UNIVERSITY Advice for students entering second-year in 2014–15

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Source URL: www.mast.queensu.ca

Language: English - Date: 2014-03-19 14:06:40
760Finite fields / Primality tests / Polynomials / Field theory / Elliptic curves / Prime number / Frobenius endomorphism / Root of unity / Miller–Rabin primality test / Abstract algebra / Mathematics / Algebra

version[removed]Primality testing with Gaussian periods Primality testing with Gaussian periods H. W. Lenstra jr. and Carl Pomerance

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2009-12-11 15:17:22
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