عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9789048152032
(Number (ISBN
9789401592390
NATIONAL BIBLIOGRAPHY NUMBER
Number
b408401
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Finite Fields: Theory and Computation
General Material Designation
[Book]
Other Title Information
The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography /
First Statement of Responsibility
by Igor E. Shparlinski.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Dordrecht :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1999.
SERIES
Series Title
Mathematics and Its Applications ;
Volume Designation
477
CONTENTS NOTE
Text of Note
Links flowchart -- 1. Polynomial Factorization -- 2. Finding Irreducible and Primitive Polynomials -- 3. The Distribution of Irreducible, Primitive and Other Special Polynomials and Matrices -- 4. Bases and Computation in Finite Fields -- 5. Coding Theory and Algebraic Curves -- 6. Elliptic Curves -- 7. Recurrence Sequences in Finite Fields and Cyclic Linear Codes -- 8. Finite Fields and Discrete Mathematics -- 9. Congruences -- 10. Some Related Problems -- Appendix 1 -- Appendix 2 -- Appendix 3 -- References.
0
SUMMARY OR ABSTRACT
Text of Note
This book is mainly devoted to some computational and algorithmic problems in finite fields such as, for example, polynomial factorization, finding irreducible and primitive polynomials, the 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 we in clude two special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number gener ators, modular arithmetic, etc.) and computational number theory (primality testing, factoring integers, computation in algebraic number theory, etc.). The problems considered here have many applications in Computer Science, Cod ing Theory, Cryptography, Numerical Methods, and so on. There are a few books devoted to more general questions, but the results contained in this book have not till now been collected under one cover. In the present work the author has attempted to point out new links among different areas of the theory of finite fields. It contains many very important results which previously could be found only in widely scattered and hardly available conference proceedings and journals. In particular, we extensively review results which originally appeared only in Russian, and are not well known to mathematicians outside the former USSR.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9789048152032
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Algebra-- Data processing.
Computational complexity.
Electronic data processing.
Field theory (Physics).
Mathematics.
Number theory.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Shparlinski, Igor E.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190301081900.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
