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Finite Fields: Theory and Computation: The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography (Mathematics and Its Applications)
Igor Shparlinski
€ 242.21
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Description for Finite Fields: Theory and Computation: The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography (Mathematics and Its Applications)
Hardcover. Provides a survey of the achievements in the theory and applications of finite fields and in many related areas such as algebraic number theory, theoretical computer science, coding theory and cryptography. This book includes topics such as polynomial factorization over finite fields and constructing special bases of extensions of finite fields. Series: Mathematics and its Applications. Num Pages: 528 pages, biography. BIC Classification: PBF; PBH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 30. Weight in Grams: 934.
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer
Format
Hardback
Publication date
1999
Series
Mathematics and its Applications
Condition
New
Weight
951 g
Number of Pages
528
Place of Publication
Dordrecht, Netherlands
ISBN
9780792356622
SKU
V9780792356622
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Finite Fields: Theory and Computation: The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography (Mathematics and Its Applications)
`...the book can yet be highly recommended as encyclopaedia on these topics, in particular because many Russian papers are incorporated which are hardly accessible.' Monatschafte fur Mathematik, 132:1 (2001)