This book contains nine survey papers on topics in finite fields and their applications, in particular on character sums and polynomials. The articles are based on the invited talks ofa RICAM-Workshop held at the St. Wolfgang Federal Institute for A
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Pascale Charpin, INRIA, Le Chesnay, France; Alexander Pott, Otto-von-Guericke-University Magdeburg, Germany; Arne Winterhof, Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Austria.
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is based on the invited talks of the 'RICAM-Workshop on Finite Fields and Their Applications: Character Sums and Polynomials' held at the Federal Institute for Adult Education (BIfEB) in Strobl, Austria, from September 2-7, 2012. Finite fields play important roles in many application areas such as coding theory, cryptography, Monte Carlo and quasi-Monte Carlo methods, pseudorandom number generation, quantum computing, and wireless communication. In this book we will focus on sequences, character sums, and polynomials over finite fields in view of the above mentioned application areas: Chapters 1 and 2 deal with sequences mainly constructed via characters and analyzed using bounds on character sums. Chapters 3, 5, and 6 deal with polynomials over finite fields. Chapters 4 and 9 consider problems related to coding theory studied via finite geometry and additive combinatorics, respectively. Chapter 7 deals with quasirandom points in view of applications to numerical integration using quasi-Monte Carlo methods and simulation. Chapter 8 studies aspects of iterations of rational functions from which pseudorandom numbers for Monte Carlo methods can be derived. The goal of this book is giving an overview of several recent research directions as well as stimulating research in sequences and polynomials under the unified framework of character theory. 288 pp. Englisch. N° de réf. du vendeur 9783110282405
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Buch. Etat : Neu. Finite Fields and Their Applications | Character Sums and Polynomials | Arne Winterhof (u. a.) | Buch | XI | Englisch | 2013 | De Gruyter | EAN 9783110282405 | Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, 10785 Berlin, productsafety[at]degruyterbrill[dot]com | Anbieter: preigu Print on Demand. N° de réf. du vendeur 106070810
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is based on the invited talks of the 'RICAM-Workshop on Finite Fields and Their Applications: Character Sums and Polynomials' held at the Federal Institute for Adult Education (BIfEB) in Strobl, Austria, from September 2-7, 2012. Finite fields play important roles in many application areas such as coding theory, cryptography, Monte Carlo and quasi-Monte Carlo methods, pseudorandom number generation, quantum computing, and wireless communication. In this book we will focus on sequences, character sums, and polynomials over finite fields in view of the above mentioned application areas: Chapters 1 and 2 deal with sequences mainly constructed via characters and analyzed using bounds on character sums. Chapters 3, 5, and 6 deal with polynomials over finite fields. Chapters 4 and 9 consider problems related to coding theory studied via finite geometry and additive combinatorics, respectively. Chapter 7 deals with quasirandom points in view of applications to numerical integration using quasi-Monte Carlo methods and simulation. Chapter 8 studies aspects of iterations of rational functions from which pseudorandom numbers for Monte Carlo methods can be derived. The goal of this book is giving an overview of several recent research directions as well as stimulating research in sequences and polynomials under the unified framework of character theory. N° de réf. du vendeur 9783110282405
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