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Finite Fields: Theory And Computation: The Meeting Point Of Number Theory, Computer Science, Coding Theory And Cry - Igor Shparlinski
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Igor Shparlinski:
Finite Fields: Theory And Computation: The Meeting Point Of Number Theory, Computer Science, Coding Theory And Cry - nieuw boek

ISBN: 9789048152032

ID: 978904815203

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. Igor Shparlinski, Books, Finite Fields: Theory And Computation: The Meeting Point Of Number Theory, Computer Science, Coding Theory And Cry Books, Springer-Verlag/Sci-Tech/Trade

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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
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Igor Shparlinski:
Finite Fields: Theory and Computation: The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography (Mathematics and Its Applications) - pocketboek

2009, ISBN: 9048152038

Paperback, [EAN: 9789048152032], Springer Netherlands, Springer Netherlands, Book, [PU: Springer Netherlands], 2009-12-28, Springer Netherlands, Finite Fields: Theory and Computation This book provides an exhaustive survey of the most recent 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. Topics treated include polynomial factorization over finite fields, the finding and distribution of irreducible primitive and other special polynomials, constructing special bases of extensions of finite fields, curves and exponential sums, and linear recurrent sequences. Besides a general overview of the area, its results and methods, it suggests a number of interesting research problems of various levels of dif..., 269507, Security, 269520, Networking & Security, 71, Computing & Internet, 1025612, Subjects, 266239, Books, 269709, Algorithms, 269678, Programming, 71, Computing & Internet, 1025612, Subjects, 266239, Books, 278321, Algebra, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278350, Discrete Mathematics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922522, Mathematical Theory, 922518, Chaos, 278381, Game Theory, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278373, Numbers, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books

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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
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Igor Shparlinski:
Finite Fields: Theory and Computation: The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography (Mathematics and Its Applications) - pocketboek

2009, ISBN: 9048152038

Paperback, [EAN: 9789048152032], Springer Netherlands, Springer Netherlands, Book, [PU: Springer Netherlands], 2009-12-28, Springer Netherlands, Finite Fields: Theory and Computation This book provides an exhaustive survey of the most recent 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. Topics treated include polynomial factorization over finite fields, the finding and distribution of irreducible primitive and other special polynomials, constructing special bases of extensions of finite fields, curves and exponential sums, and linear recurrent sequences. Besides a general overview of the area, its results and methods, it suggests a number of interesting research problems of various levels of dif..., 269507, Security, 269520, Networking & Security, 71, Computing & Internet, 1025612, Subjects, 266239, Books, 269709, Algorithms, 269678, Programming, 71, Computing & Internet, 1025612, Subjects, 266239, Books, 278321, Algebra, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278350, Discrete Mathematics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922522, Mathematical Theory, 922518, Chaos, 278381, Game Theory, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278373, Numbers, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books

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Finite Fields: Theory and Computation - Igor Shparlinski
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Igor Shparlinski:
Finite Fields: Theory and Computation - pocketboek

ISBN: 9789048152032

Paperback, [PU: Springer], 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., Algebra

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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
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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) - eerste uitgave

2010, ISBN: 9789048152032

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Bijzonderheden over het boek
Finite Fields: Theory and Computation

This book provides an exhaustive survey of the most recent 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. Topics treated include polynomial factorization over finite fields, the finding and distribution of irreducible primitive and other special polynomials, constructing special bases of extensions of finite fields, curves and exponential sums, and linear recurrent sequences. Besides a general overview of the area, its results and methods, it suggests a number of interesting research problems of various levels of difficulty. The volume concludes with an impressive bibliographical section containing more than 2300 references. Audience: This work will be of interest to graduate students and researchers in field theory and polynomials, number theory, symbolic computation, symbolic/algebraic manipulation, and coding theory.

Gedetalleerde informatie over het boek. - Finite Fields: Theory and Computation


EAN (ISBN-13): 9789048152032
ISBN (ISBN-10): 9048152038
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
544 Bladzijden
Gewicht: 0,812 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 04.01.2012 12:22:19
Boek voor het laatst gevonden op 18.10.2018 14:08:31
ISBN/EAN: 9789048152032

ISBN - alternatieve schrijfwijzen:
90-481-5203-8, 978-90-481-5203-2


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