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Minimal polynomial
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1	Minimal-Model-Guided Approaches to Solving Polynomial Constraints and Extensions⋆ Daniel Larraz, Albert Oliveras, Enric Rodr´ıguez-Carbonell, and Albert Rubio Universitat Polit`ecnica de Catalunya, Barcelona, Spain Add to Reading List Source URL: www.lsi.upc.edu Language: English - Date: 2014-05-28 10:18:30 Theoretical computer science Computational complexity theory Mathematical logic Constraint programming Logic in computer science Electronic design automation Formal methods NP-complete problems Boolean satisfiability problem Satisfiability modulo theories Maximum satisfiability problem Local consistency
2	PARALLEL KRYLOV SOLVERS FOR THE POLYNOMIAL EIGENVALUE PROBLEM IN SLEPc∗ CARMEN CAMPOS† AND JOSE E. ROMAN† Abstract. Polynomial eigenvalue problems are often found in scientific computing applications. When the coef Add to Reading List Source URL: users.dsic.upv.es Language: English - Date: 2015-05-20 08:54:40 Algebra Linear algebra Mathematics Numerical linear algebra Matrix theory Spectral theory SLEPc Eigenvalues and eigenvectors Arnoldi iteration Nonlinear eigenproblem Generalized minimal residual method Matrix
3	Affine Transformations of Algebraic Numbers D.J. Jeffrey ∗ Pratibha Add to Reading List Source URL: www.apmaths.uwo.ca Language: English - Date: 2005-05-05 16:03:06 Mathematics Algebra Abstract algebra Polynomials Irreducible polynomial Fundamental theorem of algebra Rational root theorem Minimal polynomial Root system
4	Symmetric Cryptography and Algebraic Curves Jos´ e Felipe Voloch Abstract: We discuss some applications of the theory of algebraic curves to the study of S-boxes in symmetric cryptography. 0. Introduction Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2006-10-25 10:27:37 Algebra Mathematics Field theory Polynomials Splitting field Finite field Algebraic curve Minimal polynomial
5	MATHEMATICS 129, SPRING 2009 NUMBER FIELDS KATHERINE E. STANGE Contents 1. Add to Reading List Source URL: math.colorado.edu Language: English - Date: 2015-10-18 16:52:55 Ring theory Algebraic number theory Field theory Commutative algebra Polynomials Algebraic integer Algebraic number field Integral element Ring of integers Minimal polynomial Unique factorization domain Integral domain
6	Computing the minimal distance of cyclic codes Jos´ e Felipe Voloch Abstract: We describe an algorithm that improves on the standard algorithm for computing the minimal distance of cyclic codes. Keywords: cyclic codes, Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2004-10-22 18:26:34 Coding theory Cyclic code BCH code Polynomial code Quadratic residue Linear code ReedSolomon error correction
7	ALGEBRAIC STRUCTURE AND DEGREE REDUCTION Let S ⊂ Fn . We define deg(S) to be the minimal degree of a non-zero polynomial that vanishes on S. We have seen that for a finite set S, deg(S) ≤ n\|S\|1/n . In fact, we can sa Add to Reading List Source URL: math.mit.edu Language: English - Date: 2012-10-10 15:15:19 Mathematics Mathematical analysis Algebra Polynomials Transcendental numbers Diophantine approximation Coding theory Algebraic function Elliptic curve
8	Computer discovery and analysis of large Poisson polynomials David H. Bailey∗ Jonathan M. Borwein† Jason S. Kimberley‡ Add to Reading List Source URL: www.davidhbailey.com Language: English - Date: 2016-05-10 23:34:31 Polynomials Mathematics Algebra Integer relation algorithm Factorization of polynomials Polynomial Factorization Minimal polynomial Experimental mathematics Polynomial greatest common divisor
9	J. Symbolic Computation, 351–369 Lattices of Compatibly Embedded Finite Fields† WIEB BOSMA‡, JOHN CANNON§ AND ALLAN STEEL¶ Computational Algebra Group, School of Mathematics and Statistics, The Univers Add to Reading List Source URL: www.math.ru.nl Language: English - Date: 2008-01-31 05:32:49 Field theory Polynomials Computer algebra Finite fields Abstract algebra Conway polynomial Field Minimal polynomial Embedding Model theory Factorization of polynomials Duality
10	Looking beyond XTR Wieb Bosma1 , James Hutton2 , and Eric R. Verheul3 1 Mathematisch Instituut, Universiteit Nijmegen, Postbus 9010, 6500 GL Nijmegen, The Netherlands, Add to Reading List Source URL: www.math.ru.nl Language: English - Date: 2003-03-04 03:36:09 Polynomials Algebra Field theory XTR Cyclotomic polynomial Minimal polynomial Field extension Elementary symmetric polynomial Elliptic curve Irreducible polynomial Permutation polynomial

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