Computational and Algorithmic Problems in Finite Fields (Mathematics and its Applications) - Hardcover

Shparlinski, Igor

Hardcover

ISBN 10: 0792320573 ISBN 13: 9780792320579

Publisher: Springer, 1992

Synopsis

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 araes 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 presuppose 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.

Edition details

• Publisher: Springer
• Publication date: 1992
• Language: English
• ISBN 10: 0792320573
• ISBN 13: 9780792320579
• Binding: Hardcover
• Edition number: 1
• Number of pages: 256