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Counting Polynomial Matrices over Finite Fields

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Finite Fields and their Applications

The volume covers wide-ranging topics from Theory: structure of finite fields, normal bases, polynomials, function fields, APN functions;

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Current Research Topics on Galois Geometrics

sets and caps in projective spaces, substructures in finite classical polar spaces, the polynomial method in Galois geometry, finite semifields;

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A Combinatorial Approach to Matrix Theory and It's Applications

matrices. After reviewing the basics of graph theory, elementary counting formulas, fields, and vector spaces, the book explains the algebra;

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Algebraic Curves over Finite Fields

time, the theory of algebraic geometric Goppa codes on algebraic curves. Amongst the applications considered are: the problem of counting the;

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Computational and Algorithmic Problems in Finite Fields

This volume presents an exhaustive treatment of computation and algorithms for finite fields. Topics covered include polynomial;

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Polynomial Invariants of Finite Groups

essential and interesting results and methods in the theory of polynomial invariants of finite groups. From the table of contents: - Invariants and;

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Polynomial Invariants of Finite Groups

essential and interesting results and methods in the theory of polynomial invariants of finite groups. From the table of contents: - Invariants and;

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Rational Function Systems And Electrical Networks With Multi-parameters

researches their structural properties: reducible condition of a class of matrices over F(z) and their characteristic polynomial; type-1 matrix and;

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Generalized Inverses

inverse, generalized singular value decomposition, imbedding method, finite method, generalized inverses of polynomial matrices, and generalized;

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Asymptotics of Cubic Number Fields with Bounded Second Successive Minimum of the Trace Form

method of counting the polynomials in this set and we show that errors that arise with this procedure are not of important order. We parametrise;

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Asymptotics of Cubic Number Fields with Bounded Second Successive Minimum of the Trace Form

method of counting the polynomials in this set and we show that errors that arise with this procedure are not of important order. We parametrise;

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Undergraduate Algebra

of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a;

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Algebraic Curves and Cryptography

of algebraic curves. All of the articles in this volume are centered on the theme of point counting and explicit arithmetic on the Jacobians of curves;

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Hardware Implementation of Finite-Field Arithmetic

over GF(p) and GF(pm) Operations over the commutative ring Zp[x]/f(x) Operations over the binary field GF(2m) using normal, polynomial, dual;

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Constructivism in Mathematics, Vol 2

various studies in mathematics and logic, including metric spaces, polynomial rings, and Heyting algebras. The publication first takes a;

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Student Solutions Manual for Gallian's Contemporary Abstract Algebra

. Integral Domains 14. Ideals and Factor Rings 15. Ring Homomorphisms 16. Polynomial Rings 17. Factorization of Polynomials 18. Divisibility;

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The Theory of Error-Correcting Codes

Linear Codes. Nonlinear Codes, Hadamard Matrices, Designs and the Golay Code. An Introduction to BCH Codes and Finite Fields. Finite Fields;

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Commutative Algebra Volume 1

matrices and determinants. The opening chapter develops introductory notions concerning groups, rings, fields, polynomial rings, and vector;

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Noncommutative Polynomial Algebras of Solvable Type and Their Modules

Noncommutative Polynomial Algebras of Solvable Type and Their Modules is the first book to systematically introduce the basic constructive;

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Structured Matrix Based Methods for Approximate Polynomial GCD

Defining and computing a greatest common divisor of two polynomials with inexact coefficients is a classical problem in symbolic-numeric;

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Undergraduate Algebra

in a one-year or one-term course Includes Noah Snyder's proof of the Mason-Stothers polynomial abc theorem New material included on product;

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London Mathematical Society Lecture Note Series

action of a finite group on the ring of polynomial functions on a linear representation, both in characteristic zero and characteristic p;

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Linear Algebra, Matrix Theory and Applications

teaches the readers the methods of computation in matrices. This book also discusses about Reduced triangular form of polynomial, Gaussian;

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The Large Sieve and Its Applications

, including the study of families of zeta functions of algebraic curves over finite fields; arithmetic properties of characteristic polynomials;

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Linear Multivariable Control

Details the basic theory of polynomial and fractional representation methods for algebraic analysis and synthesis of linear multivariable;

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The Invariant Theory of Matrices

characteristic free approach. More precisely, it contains the description of polynomial functions in several variables on the set of $mtimes m$ matrices;

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