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Finite field arithmetic
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31	FPGA IMPLEMENTATION OF DIGITAL FILTERS Chi-Jui Chou, Satish Mohanakrishnan, Joseph B. Evans Telecommunications & Information Sciences Laboratory Department of Electrical & Computer Engineering University of Kansas Lawren Add to Reading List Source URL: www.ittc.ku.edu Language: English - Date: 2005-07-19 15:28:40 Electronics Filter theory Adders Computer arithmetic Binary logic Field-programmable gate array Digital filter Finite impulse response Infinite impulse response Digital signal processing Electronic engineering Signal processing
32	THOUGHTS ON CHEAPER NON-SECRET ENCRYPTION M J Williamson, 10 August[removed]Introduction This note is mainly a much-delayed response to some calculations made on the speed and cost of the equipment to implement non-secre Add to Reading List Source URL: cryptocellar.web.cern.ch Language: English - Date: 1999-02-19 10:14:01 Polynomial Fast Fourier transform Euclidean algorithm Primitive polynomial Multiplication Finite fields Multiplication algorithm Finite field arithmetic Mathematics Abstract algebra Algebra
33	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
34	Weil Image Sums (and some related problems) September ,  ver. . Add to Reading List Source URL: www.untruth.org Language: English - Date: 2012-02-29 00:47:43 Dickson polynomial Algebraic geometry Factorization of polynomials over a finite field and irreducibility tests Arithmetic circuit complexity Polynomials Mathematics Algebra
35	THE RAMANUJAN JOURNAL 1, 227–[removed]c 1997 Kluwer Academic Publishers. Manufactured in The Netherlands. ° On Locally Repeated Values of Certain Arithmetic Functions, IV Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:07 Prime number theorem Diophantine approximation Complex analysis Mathematical series Real analysis Factorization of polynomials over a finite field and irreducibility tests Auxiliary function Mathematical analysis Mathematics Arithmetic function
36	J. Cryptology[removed]:[removed]Journal of Cryptology[removed]International Association for Cryptologic Research Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2010-11-16 14:00:41 Modular arithmetic Primality tests Euclidean algorithm Prime number Quadratic residue Randomized algorithm Factorization of polynomials over a finite field and irreducibility tests Miller–Rabin primality test Mathematics Number theory Abstract algebra
37	On the Distribution of Pseudopowers Sergei V. Konyagin Department of Mechanics and Mathematics Moscow State University Moscow, 119992, Russia [removed] Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2008-07-30 15:14:32 Analytic number theory Prime numbers Prime number theorem Sieve theory Prime-counting function Prime number Arithmetic functions Chebyshev function Factorization of polynomials over a finite field and irreducibility tests Mathematics Number theory Mathematical analysis
38	SELMER GROUP HEURISTICS AND SIEVES BJORN POONEN These are expanded lecture notes for a series of four lectures at the Arizona Winter School on “Arithmetic statistics” held March 15–19, 2014 in Tucson, Arizona. They Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2014-03-24 04:38:53 Polynomials Field theory Algebraic number theory Algebraic number field Finite field Prime number Degree of a continuous mapping Irreducible polynomial Projective space Abstract algebra Algebra Mathematics
39	2014 ARIZONA WINTER SCHOOL: ARITHMETIC STATISTICS STATISTICS FOR ZEROES OF L-FUNCTIONS OF CURVES OVER FINITE FIELDS CHANTAL DAVID The lectures will be concerned with statistics for the zeroes of L-functions in natural fa Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2013-12-17 13:57:57 Algebraic number theory Field theory Hyperelliptic curve Peter Sarnak Elliptic curve Zeta function L-function Algebraic number field Abstract algebra Algebraic curves Analytic number theory
40	CURVES AND ZETA FUNCTIONS OVER FINITE FIELDS ARIZONA WINTER SCHOOL 2014: ARITHMETIC STATISTICS CHANTAL DAVID ASSISTANT: ALINA BUCUR 1. Introduction Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2014-03-13 18:22:56 Analytic number theory Fourier analysis Conjectures Meromorphic functions Riemann hypothesis Riemann zeta function Elliptic curve Dirac delta function Algebraic number field Mathematical analysis Mathematics Abstract algebra