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

Shparlinski, Igor

ISBN 10: 0792320573 / ISBN 13: 9780792320579

Published by Springer, 1992

In. Seller Inventory # ria9780792320579_new

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 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.

Bibliographic Details

Title: Computational and Algorithmic Problems in ...
Publisher: Springer
Publication Date: 1992
Binding: Hardcover
Condition: New