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Computational and Algorithmic Problems in Finite Fields (Mathematics and its Applications), by Igor Shparlinski
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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.
- Sales Rank: #10189252 in Books
- Published on: 2013-12-31
- Released on: 2013-12-31
- Original language: English
- Number of items: 1
- Dimensions: 9.45" h x .58" w x 6.30" l, .80 pounds
- Binding: Paperback
- 240 pages
Most helpful customer reviews
0 of 0 people found the following review helpful.
For the applied mathematicians and engineers!
By Donghan Kim
A very useful book to the students both in applied mathematics dept. and engineering college who are interested in computation based on finite field.
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