Theory and applications of finite fields : 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

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2012]; ©2012
• Descrizione fisica: 1 online resource (216 p.)
• Disciplina: 512.3
• Soggetto topico: Finite fields (Algebra); Arithmetical algebraic geometry; Number theory; Coding theory
• Soggetto genere / forma: Electronic books.
• Persona (resp. second.): LavrauwMichel <1974->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Preface""; ""Low dimensional models of the finite split Cayley hexagon""; ""1. Introduction""; ""2. The 3-dimensional Hermitian surface and its Baer substructures""; ""3. The connection with the 6-dimensional parabolic quadric""; ""4. Characterising the split Cayley hexagon in the 6-dimensional parabolic quadric""; ""5. A connection with Phan theory""; ""Acknowledgements""; ""References""; ""Davenportâ€?s constant for groups with large exponent""; ""1. Introduction and results""; ""2. Systems of disjoint zero-sums""; ""3. Proof of Theorem 1.1""; ""4. Proof of Theorem 1.4: The case â??7"" ; ""References""""Additive character sums of polynomial quotients""; ""1. Introduction""; ""2. Small degree""; ""3. Monomials""; ""Acknowledgment""; ""References""; ""5-Designs related to binary extremal self-dual codes of length 24 ""; ""1. Introduction""; ""2. The case =5""; ""3. Automorphism groups""; ""4. Questions""; ""References""; ""Sequences of Dedekind sums in function fields""; ""1. Introduction""; ""2. Additive functions""; ""3. Inhomogeneous Dedekind sums""; ""4. Higher dimensional Dedekind sums""; ""5. Proofs of Theorems 3.4, 4.6""; ""6. Limits of Dedekind sums""; ""References"" ; ""Niho Bent Functions and Subiaco Hyperovals""""1. Introduction and Preliminaries""; ""2. Subiaco Hyperovals""; ""3. Bent Functions from Subiaco Hyperovals""; ""References""; ""A bound on the number of points of a curve in a projective space over a finite field""; ""1. Introduction""; ""2. Combinatorial approach""; ""3. Number of points of a non-degenerate irreducible curve""; ""4. Proof of Theorem 1.1 and Corollary 1.2""; ""5. Asymptotic behavior""; ""References""; ""Designs in Projective Hjelmslev Spaces""; ""1. Introduction""; ""2. Modules over Finite Chain Rings"" ; ""3. Projective Hjelmslev Spaces""""4. Relations between the -designs""; ""5. Spreads""; ""6. The Nonexistence of Some Spreads of Non-free Submodules""; ""7. Open Problems""; ""Acknowledgements""; ""References""; ""On the nuclei of a finite semifield""; ""1. Introduction""; ""2. Isotopy relation and nuclei""; ""3. The known families of commutative semifields""; ""4. The isotopy issue""; ""References""; ""Small-bias sets from extended norm-trace codes""; ""1. Introduction and preliminaries""; ""2. Balanced codes and small-bias sets"" ; ""3. Extended norm-trace codes and associated -biased sets""
• Titolo autorizzato: Theory and applications of finite fields
• ISBN: 0-8218-9157-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910480117503321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society) ; ; 579.