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Theory and applications of finite fields : [electronic resource] the 10th International Conference on Finite Fields and Their Applications, July 11-15, 2011, Ghent, Belgium / Michel Lavrauw, Gary L. Mullen, Svetla Nikova, Daniel Panario, Leo Storme, editors.

By: (10th : International Conference on Finite Fields and Applications (10th : 2011 : Ghent, Belgium)Contributor(s): Lavrauw, Michel, 1974- [editor of compilation.]Material type: Text

TextSeries: Contemporary mathematics ; v. 579Publisher: Providence, Rhode Island : American Mathematical Society, [2012]Description: 1 online resource (viii, 204 pages : illustrations)Content type: text Media type: unmediated Carrier type: volumeISBN: 9780821891575 (online)Subject(s): Finite fields (Algebra) -- Congresses | Arithmetical algebraic geometry -- Congresses | Number theory -- Congresses | Coding theory -- Congresses | Combinatorics -- Designs and configurations -- Designs and configurations | Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Arithmetic algebraic geometry (Diophantine geometry) | Number theory -- Exponential sums and character sums -- Exponential sums and character sums | Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Finite fields and commutative rings (number-theoretic aspects) | Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Arithmetic problems. Diophantine geometry | Geometry -- Finite geometry and special incidence structures -- Finite geometry and special incidence structures | Information and communication, circuits -- Communication, information -- Cryptography | Information and communication, circuits -- Theory of error-correcting codes and error-detecting codes -- Theory of error-correcting codes and error-detecting codesAdditional physical formats: Theory and applications of finite fields :DDC classification: 512/.3 LOC classification: QA247.3 | .I57 2011Other classification: 05Bxx | 11Gxx | 11Lxx | 11Txx | 14Gxx | 51Exx | 94A60 | 94Bxx Online resources: Contents | Contents

Contents:

Low dimensional models of the finite split Cayley hexagon / John Bamberg and Nicola Durante -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11514 Davenport's constant for groups with large exponent / Gautami Bhowmik and Jan-Christoph Schlage-Puchta -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11515 Permanent has less zeros than determinant over finite fields / Mikhail V. Budrevich and Alexander E. Guterman -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11516 On a series of modules for the symplectic group in characteristic 2 / Ilaria Cardinali and Antonio Pasini -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11517 Exact divisibility of exponential sums and some consequences / Francis N. Castro, Ra�ul Figueroa and Luis A. Medina -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11518 Additive character sums of polynomial quotients / Zhixiong Chen and Arne Winterhof -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11519 $5$-Designs related to binary extremal self-dual codes of length $24m$ / Javier de la Cruz and Wolfgang Willems -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11520 Sequences of Dedekind sums in function fields / Yoshinori Hamahata -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11521 Niho Bent Functions and Subiaco Hyperovals / Tor Helleseth, Alexander Kholosha and Sihem Mesnager -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11522 A bound on the number of points of a curve in a projective space over a finite field / Masaaki Homma -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11523 Designs in Projective Hjelmslev Spaces / Michael Kiermaier and Ivan Landjev -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11524 On the nuclei of a finite semifield / Giuseppe Marino and Olga Polverino -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11525 Small-bias sets from extended norm-trace codes / Gretchen L. Matthews and Justin D. Peachey -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11526 On the Waring Problem with multivariate Dickson polynomials / Alina Ostafe, David Thomson and Arne Winterhof -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11527 Polynomials modulo $p$ and the theory of Galois sets / Michael Rosen -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11528 Additive decompositions induced by multiplicative characters over finite fields / Davide Schipani and Michele Elia -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11529 Graphs associated with the map $x \mapsto x + x^{-1}$ in finite fields of characteristic two / S. Ugolini -- http://www.ams.org/conm/579/ http://dx.doi.org/10.1090/conm/579/11530

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Includes bibliographical references.

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