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Topics in finite fields : [electronic resource] 11th International Conference on Finite Fields and Their Applications, July 22--26, 2013, Magdeburg, Germany / Gohar Kyureghyan, Gary L. Mullen, Alexander Pott, editors.

By: (11th : International Conference on Finite Fields and Applications (11th : 2013 : Magdeburg, Germany).
Contributor(s): Kyureghyan, Gohar, 1974- [editor.] | Mullen, Gary L [editor.] | Pott, Alexander, 1961- [editor.].
Material type: materialTypeLabelBookSeries: Contemporary mathematics, v. 632.Publisher: Providence, Rhode Island : American Mathematical Society, [2014]Description: 1 online resource (pages cm.).Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470422202 (online).Subject(s): Finite fields (Algebra) -- Congresses | Commutative rings -- Congresses | Combinatorial analysis -- Congresses | Arithmetical algebraic geometry -- Congresses | Group theory -- Congresses | Combinatorics -- Designs and configurations -- Designs and configurations | Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Finite fields and commutative rings (number-theoretic aspects) | Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Arithmetic algebraic geometry (Diophantine geometry) | Field theory and polynomials -- General field theory -- General field theory | Field theory and polynomials -- Field extensions -- Field extensions | Field theory and polynomials -- Computational aspects of field theory and polynomials -- Computational aspects of field theory and polynomials | Group theory and generalizations -- Representation theory of groups -- Representation theory of groups | Geometry -- Finite geometry and special incidence structures -- Finite geometry and special incidence structures | Information and communication, circuits -- Communication, information -- Communication, information | Information and communication, circuits -- Theory of error-correcting codes and error-detecting codes -- Theory of error-correcting codes and error-detecting codesAdditional physical formats: Topics in finite fields :DDC classification: 512/.3 Other classification: 05Bxx | 11Txx | 11Gxx | 12Exx | 12Fxx | 12Yxx | 20Cxx | 51Exx | 94Axx | 94Bxx Online resources: Contents | Contents
Contents:
New recursive construction of normal polynomials over finite fields / Sergey Abrahamyan and Melsik Kyureghyan -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12614 Collineation groups strongly irreducible on an oval in a projective plane of odd order / A. Aguglia and G. Korchm�aros -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12615 On the solvability of certain equations over finite fields / Ioulia N. Baoulina -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12616 On automorphism groups of binary linear codes / Martino Borello -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12617 Extended differential properties of cryptographic functions / Anne Canteaut and Jo�elle Rou�e -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12618 A divisibility criterion for exceptional APN functions / Florian Caullery -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12619 Non weakly regular bent polynomials from vectorial quadratic functions / Ay�ca �Ce�smelio�glu and Wilfried Meidl -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12620 Strongly regular graphs arising from Hermitian varieties / A. Cossidente, G. Korchm�aros and G. Marino -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12621 Generalized rank weights: A duality statement / J�er�ome Ducoat -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12622 An upper bound for the number of Galois points for a plane curve / Satoru Fukasawa -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12623 A generalization of the nonlinear combination generator / Rainer G�ottfert -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12624 Dedekind sums with a parameter in function fields / Yoshinori Hamahata -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12625 Numbers of points of hypersurfaces without lines over finite fields / Masaaki Homma -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12626 Optimal binary subspace codes of length $6$, constant dimension $3$ and minimum subspace distance $4$ / Thomas Honold, Michael Kiermaier and Sascha Kurz -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12627 A survey of permutation binomials and trinomials over finite fields / Xiang-dong Hou -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12628 Computing class groups of function fields using stark units / Ming-Deh Huang and Anand Kumar Narayanan -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12629 Finding primitive elements in finite fields of small characteristic / Ming-Deh Huang and Anand Kumar Narayanan -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12630 The coset leader and list weight enumerator / Relinde Jurrius and Ruud Pellikaan -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12631 Wieferich past and future / Nicholas M. Katz -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12632 Field reduction and linear sets in finite geometry / Michel Lavrauw and Geertrui Van de Voorde -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12633 Bent functions from spreads / Sihem Mesnager -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12634 On the characterization of a semi-multiplicative analogue of planar functions over finite fields / Amela Muratovi�c-Ribi�c, Alexander Pott, David Thomson and Qiang Wang -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12635 A solution of an equivalence problem for semisimple cyclic codes / Mikhail Muzychuk -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12636 On cross joining de Bruijn sequences / Johannes Mykkeltveit and Janusz Szmidt -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12637 Ambiguity and deficiency of reversed Dickson permutations / Daniel Panario, Amin Sakzad and David Thomson -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12638 From near-bent to bent: A special case / J. Wolfmann -- http://www.ams.org/conm/632/ http://dx.doi.org/10.1090/conm/632/12639
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Includes bibliographical references and index.

New recursive construction of normal polynomials over finite fields / Sergey Abrahamyan and Melsik Kyureghyan -- Collineation groups strongly irreducible on an oval in a projective plane of odd order / A. Aguglia and G. Korchm�aros -- On the solvability of certain equations over finite fields / Ioulia N. Baoulina -- On automorphism groups of binary linear codes / Martino Borello -- Extended differential properties of cryptographic functions / Anne Canteaut and Jo�elle Rou�e -- A divisibility criterion for exceptional APN functions / Florian Caullery -- Non weakly regular bent polynomials from vectorial quadratic functions / Ay�ca �Ce�smelio�glu and Wilfried Meidl -- Strongly regular graphs arising from Hermitian varieties / A. Cossidente, G. Korchm�aros and G. Marino -- Generalized rank weights: A duality statement / J�er�ome Ducoat -- An upper bound for the number of Galois points for a plane curve / Satoru Fukasawa -- A generalization of the nonlinear combination generator / Rainer G�ottfert -- Dedekind sums with a parameter in function fields / Yoshinori Hamahata -- Numbers of points of hypersurfaces without lines over finite fields / Masaaki Homma -- Optimal binary subspace codes of length $6$, constant dimension $3$ and minimum subspace distance $4$ / Thomas Honold, Michael Kiermaier and Sascha Kurz -- A survey of permutation binomials and trinomials over finite fields / Xiang-dong Hou -- Computing class groups of function fields using stark units / Ming-Deh Huang and Anand Kumar Narayanan -- Finding primitive elements in finite fields of small characteristic / Ming-Deh Huang and Anand Kumar Narayanan -- The coset leader and list weight enumerator / Relinde Jurrius and Ruud Pellikaan -- Wieferich past and future / Nicholas M. Katz -- Field reduction and linear sets in finite geometry / Michel Lavrauw and Geertrui Van de Voorde -- Bent functions from spreads / Sihem Mesnager -- On the characterization of a semi-multiplicative analogue of planar functions over finite fields / Amela Muratovi�c-Ribi�c, Alexander Pott, David Thomson and Qiang Wang -- A solution of an equivalence problem for semisimple cyclic codes / Mikhail Muzychuk -- On cross joining de Bruijn sequences / Johannes Mykkeltveit and Janusz Szmidt -- Ambiguity and deficiency of reversed Dickson permutations / Daniel Panario, Amin Sakzad and David Thomson -- From near-bent to bent: A special case / J. Wolfmann --

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http://dx.doi.org/10.1090/conm/632/12639

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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