eBook ISBN:  9780821891575 
Product Code:  CONM/579.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821891575 
Product Code:  CONM/579.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 579; 2012; 204 ppMSC: 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.
ReadershipGraduate 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 JanChristoph SchlagePuchta  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 selfdual 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  Smallbias sets from extended normtrace 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


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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.
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 JanChristoph SchlagePuchta  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 selfdual 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  Smallbias sets from extended normtrace 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