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Finite field
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391	Chapter 8 Cyclic Codes Among the first codes used practically were the cyclic codes which were generated using shift registers. It was quickly noticed by Prange that the class of cyclic codes has a rich algebraic struct Add to Reading List Source URL: www.mth.msu.edu Language: English - Date: 2012-08-31 11:04:32 Algebra Mathematics Error detection and correction Cyclic code Polynomials Reed–Solomon error correction Polynomial code Field theory Polynomial Coding theory Abstract algebra Finite fields
392 $Polynomials / Coding theory / Field theory / Finite fields / Factorization of polynomials over a finite field and irreducibility tests / Partial fraction / Abstract algebra / Mathematics / Algebra$	A-138 A.2 Polynomial Algebra over Fields Add to Reading List Source URL: www.mth.msu.edu Language: English - Date: 2012-08-31 11:04:32 Polynomials Coding theory Field theory Finite fields Factorization of polynomials over a finite field and irreducibility tests Partial fraction Abstract algebra Mathematics Algebra
393	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
394	MATH 228: COMMUTATIVE RING THEORY James D. Lewis TABLE OF CONTENTS • • Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2002-01-10 00:16:37 Ring Field Integral domain Commutative ring Finite field Characteristic Subring Inverse element Unique factorization domain Abstract algebra Algebra Ring theory
395	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
396	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
397	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
398	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
399	Lemma 1: If K is a field of prime characteristic p, positive integers m and k, and a1 ,… , ak ∈ K , then ( a1 + a2 + + ak ) pm Add to Reading List Source URL: www.untruth.org Language: English - Date: 2005-05-08 22:01:19 Field theory Diophantine approximation Field extension Transcendental numbers Finite fields Number theory Liouville number XTR Abstract algebra Mathematics Algebra
400	Theory and Numerical Aspects of Constitutive Modeling in Finite Deformation Magnetomechanics G. Ethiraj Report/Preprint No. 09–I–04 Institut f¨ ur Mechanik (Bauwesen) · Lehrstuhl I · Prof. C. Miehe Add to Reading List Source URL: www.ethiraj.de Language: English - Date: 2013-03-15 18:46:54 Elasticity Materials science Tensors Deformation Magnetic field Shear modulus Magnet Constitutive equation Stress Physics Mechanics Solid mechanics

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