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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 ... [et al.], editors
| 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 ... [et al.], editors |
| Pubbl/distr/stampa | Providence : American Mathematical Society, 2012 |
| Descrizione fisica | VIII, 204 p. ; 26 cm |
| Disciplina | 512'.3 |
| Collana | Contemporary mathematics |
| Soggetto non controllato |
Atti di conferenze di interesse specifico vario
Teoria dei numeri - Atti di conferenze Geometria algebrica aritmetica Campi finiti ed anelli commutativi Campi base finiti Geometrie finite e strutture di incidenza speciali Crittografia Teoria dei codici a correzione di errori |
| ISBN | 978-0-8218-5298-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990009660530403321 |
| Providence : American Mathematical Society, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina | 512.3 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Finite fields (Algebra)
Arithmetical algebraic geometry Number theory Coding theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9157-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480117503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina | 512.3 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Finite fields (Algebra)
Arithmetical algebraic geometry Number theory Coding theory |
| ISBN | 0-8218-9157-X |
| Classificazione | 05Bxx11Gxx11Lxx11Txx14Gxx51Exx94A6094Bxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 -- Davenport'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. |
| Record Nr. | UNINA-9910788637803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina | 512.3 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Finite fields (Algebra)
Arithmetical algebraic geometry Number theory Coding theory |
| ISBN | 0-8218-9157-X |
| Classificazione | 05Bxx11Gxx11Lxx11Txx14Gxx51Exx94A6094Bxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 -- Davenport'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. |
| Record Nr. | UNINA-9910822707003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||