Overview

This volume presents an exhaustive treatment of computation and algorithms for finite fields. Topics covered include polynomial factorization, finding irreducible and primitive polynomials, distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types, and new applications of finite fields to other areas of mathematics. For completeness, also included are two special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number generators, modular arithmetic etc.), and computational number theory (primality testing, factoring integers, computing in algebraic number theory, etc). The problems considered here have many applications in computer science, coding theory, cryptography, number theory and discrete mathematics. The level of discussion presupposes only a knowledge of the basic facts on finite fields, and the book can be recommended as supplementary graduate text. For researchers and students interested in computational and algorithmic problems in finite fields.

Full Product Details

Author:   Igor E. Shparlinski
Publisher:   Kluwer Academic Publishers
Imprint:   Kluwer Academic Publishers
Volume:   v. 88
Dimensions:   Width: 15.60cm , Height: 1.70cm , Length: 23.40cm
Weight:   0.538kg
ISBN:  

9780792320579

ISBN 10:   0792320573
Pages:   256
Publication Date:   30 November 1992
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In stock  
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