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Finite Fields and Their Applications : Character Sums and Polynomials

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Title: Finite Fields and Their Applications : Character Sums and Polynomials
Description: 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.
Authors: Pascale Charpin, Alexander Pott, Arne Winterhof
Resource Type: eBook.
Subjects: Telecommunication systems--Congresses, Finite fields (Algebra)--Congresses, Mathematics--Congresses, Electronics--Congresses
Categories: MATHEMATICS / Applied, COMPUTERS / Information Theory, MATHEMATICS / Algebra / Intermediate
Database: eBook Academic Collection (EBSCOhost)
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PubType: eBook
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  Data: 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.
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  Data: <searchLink fieldCode="AR" term="%22Pascale+Charpin%22">Pascale Charpin</searchLink><br /><searchLink fieldCode="AR" term="%22Alexander+Pott%22">Alexander Pott</searchLink><br /><searchLink fieldCode="AR" term="%22Arne+Winterhof%22">Arne Winterhof</searchLink>
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      – Code: 512.3
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Telecommunication systems--Congresses
        Type: general
      – SubjectFull: Finite fields (Algebra)--Congresses
        Type: general
      – SubjectFull: Mathematics--Congresses
        Type: general
      – SubjectFull: Electronics--Congresses
        Type: general
    Titles:
      – TitleFull: Finite Fields and Their Applications : Character Sums and Polynomials
        Type: main
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          Name:
            NameFull: Pascale Charpin
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            NameFull: Alexander Pott
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            NameFull: Arne Winterhof
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            NameFull: Pascale Charpin
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            NameFull: Alexander Pott
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            NameFull: Arne Winterhof
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2013
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9783110282405
            – Type: isbn-electronic
              Value: 9783110283600
          Titles:
            – TitleFull: Finite Fields and Their Applications : Character Sums and Polynomials
              Type: main
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