TY - BOOK AU - Lavrauw,Michel ED - International Conference on Finite Fields and Applications TI - Theory and applications of finite fields: the 10th International Conference on Finite Fields and Their Applications, July 11-15, 2011, Ghent, Belgium T2 - Contemporary mathematics, SN - 9780821891575 (online) AV - QA247.3 .I57 2011 U1 - 512/.3 23 PY - 2012///] CY - Providence, Rhode Island PB - American Mathematical Society KW - Finite fields (Algebra) KW - Congresses KW - Arithmetical algebraic geometry KW - Number theory KW - Coding theory KW - Combinatorics -- Designs and configurations -- Designs and configurations KW - msc KW - Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Arithmetic algebraic geometry (Diophantine geometry) KW - Number theory -- Exponential sums and character sums -- Exponential sums and character sums KW - Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Finite fields and commutative rings (number-theoretic aspects) KW - Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Arithmetic problems. Diophantine geometry KW - Geometry -- Finite geometry and special incidence structures -- Finite geometry and special incidence structures KW - Information and communication, circuits -- Communication, information -- Cryptography KW - Information and communication, circuits -- Theory of error-correcting codes and error-detecting codes -- Theory of error-correcting codes and error-detecting codes N1 - Includes bibliographical references; 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, Raï¿œul 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/conm/579/ UR - http://dx.doi.org/10.1090/conm/579 ER -