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Theory and Applications of Finite Fields
 
Edited by: Michel Lavrauw Università degli Studi di Padova, Vicenza, Italy
Gary L. Mullen Pennsylvania State University, State College, PA
Svetla Nikova K.U. Leuven, Leuven-Heverlee, Belgium
Daniel Panario Carleton University, Ottawa, Ontario, Canada
Leo Storme Ghent University, Ghent, Belgium
Theory and Applications of Finite Fields
eBook ISBN:  978-0-8218-9157-5
Product Code:  CONM/579.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Theory and Applications of Finite Fields
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Theory and Applications of Finite Fields
Edited by: Michel Lavrauw Università degli Studi di Padova, Vicenza, Italy
Gary L. Mullen Pennsylvania State University, State College, PA
Svetla Nikova K.U. Leuven, Leuven-Heverlee, Belgium
Daniel Panario Carleton University, Ottawa, Ontario, Canada
Leo Storme Ghent University, Ghent, Belgium
eBook ISBN:  978-0-8218-9157-5
Product Code:  CONM/579.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5792012; 204 pp
    MSC: Primary 05; 11; 14; 51; 94;

    This volume contains the proceedings of the 10th International Conference on Finite Fields and their Applications (Fq 10), held July 11–15, 2011, in Ghent, Belgium.

    Research on finite fields and their practical applications continues to flourish. This volume's topics, which include finite geometry, finite semifields, bent functions, polynomial theory, designs, and function fields, show the variety of research in this area and prove the tremendous importance of finite field theory.

    Readership

    Graduate students and research mathematicians interested in finite fields and their applications.

  • Table of Contents
     
     
    • Articles
    • John Bamberg and Nicola Durante — Low dimensional models of the finite split Cayley hexagon
    • Gautami Bhowmik and Jan-Christoph Schlage-Puchta — Davenport’s constant for groups with large exponent
    • Mikhail V. Budrevich and Alexander E. Guterman — Permanent has less zeros than determinant over finite fields
    • Ilaria Cardinali and Antonio Pasini — On a series of modules for the symplectic group in characteristic 2
    • Francis N. Castro, Raúl Figueroa and Luis A. Medina — Exact divisibility of exponential sums and some consequences
    • Zhixiong Chen and Arne Winterhof — Additive character sums of polynomial quotients
    • Javier de la Cruz and Wolfgang Willems — $5$-Designs related to binary extremal self-dual codes of length $24m$
    • Yoshinori Hamahata — Sequences of Dedekind sums in function fields
    • Tor Helleseth, Alexander Kholosha and Sihem Mesnager — Niho Bent Functions and Subiaco Hyperovals
    • Masaaki Homma — A bound on the number of points of a curve in a projective space over a finite field
    • Michael Kiermaier and Ivan Landjev — Designs in Projective Hjelmslev Spaces
    • Giuseppe Marino and Olga Polverino — On the nuclei of a finite semifield
    • Gretchen L. Matthews and Justin D. Peachey — Small-bias sets from extended norm-trace codes
    • Alina Ostafe, David Thomson and Arne Winterhof — On the Waring Problem with multivariate Dickson polynomials
    • Michael Rosen — Polynomials modulo $p$ and the theory of Galois sets
    • Davide Schipani and Michele Elia — Additive decompositions induced by multiplicative characters over finite fields
    • S. Ugolini — Graphs associated with the map $x \mapsto x + x^{-1}$ in finite fields of characteristic two
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5792012; 204 pp
MSC: Primary 05; 11; 14; 51; 94;

This volume contains the proceedings of the 10th International Conference on Finite Fields and their Applications (Fq 10), held July 11–15, 2011, in Ghent, Belgium.

Research on finite fields and their practical applications continues to flourish. This volume's topics, which include finite geometry, finite semifields, bent functions, polynomial theory, designs, and function fields, show the variety of research in this area and prove the tremendous importance of finite field theory.

Readership

Graduate students and research mathematicians interested in finite fields and their applications.

  • Articles
  • John Bamberg and Nicola Durante — Low dimensional models of the finite split Cayley hexagon
  • Gautami Bhowmik and Jan-Christoph Schlage-Puchta — Davenport’s constant for groups with large exponent
  • Mikhail V. Budrevich and Alexander E. Guterman — Permanent has less zeros than determinant over finite fields
  • Ilaria Cardinali and Antonio Pasini — On a series of modules for the symplectic group in characteristic 2
  • Francis N. Castro, Raúl Figueroa and Luis A. Medina — Exact divisibility of exponential sums and some consequences
  • Zhixiong Chen and Arne Winterhof — Additive character sums of polynomial quotients
  • Javier de la Cruz and Wolfgang Willems — $5$-Designs related to binary extremal self-dual codes of length $24m$
  • Yoshinori Hamahata — Sequences of Dedekind sums in function fields
  • Tor Helleseth, Alexander Kholosha and Sihem Mesnager — Niho Bent Functions and Subiaco Hyperovals
  • Masaaki Homma — A bound on the number of points of a curve in a projective space over a finite field
  • Michael Kiermaier and Ivan Landjev — Designs in Projective Hjelmslev Spaces
  • Giuseppe Marino and Olga Polverino — On the nuclei of a finite semifield
  • Gretchen L. Matthews and Justin D. Peachey — Small-bias sets from extended norm-trace codes
  • Alina Ostafe, David Thomson and Arne Winterhof — On the Waring Problem with multivariate Dickson polynomials
  • Michael Rosen — Polynomials modulo $p$ and the theory of Galois sets
  • Davide Schipani and Michele Elia — Additive decompositions induced by multiplicative characters over finite fields
  • S. Ugolini — Graphs associated with the map $x \mapsto x + x^{-1}$ in finite fields of characteristic two
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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