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Topics in Finite Fields
 
Edited by: Gohar Kyureghyan :  Otto-von-Guericke Universität, Magdeburg, Germany
Gary L. Mullen :  Pennsylvania State University, University Park, PA
Alexander Pott :  Otto-von-Guericke Universität, Magdeburg, Germany
Topics in Finite Fields
eBook ISBN:  978-1-4704-2220-2
Product Code:  CONM/632.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
Topics in Finite Fields
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Topics in Finite Fields
Edited by: Gohar Kyureghyan :  Otto-von-Guericke Universität, Magdeburg, Germany
Gary L. Mullen :  Pennsylvania State University, University Park, PA
Alexander Pott :  Otto-von-Guericke Universität, Magdeburg, Germany
eBook ISBN:  978-1-4704-2220-2
Product Code:  CONM/632.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 632; 2015; 371 pp
    MSC: Primary 05; 11; 12; 20; 51; 94

    This volume contains the proceedings of the 11th International Conference on Finite Fields and their Applications (Fq11), held July 22–26, 2013, in Magdeburg, Germany.

    Finite Fields are fundamental structures in mathematics. They lead to interesting deep problems in number theory, play a major role in combinatorics and finite geometry, and have a vast amount of applications in computer science.

    Papers in this volume cover these aspects of finite fields as well as applications in coding theory and cryptography.
    Readership

    Graduate students and research mathematicians interested in number theory, coding theory, cryptography, and finite geometry.
  • Table of Contents
     
     
    • Articles
    • Sergey Abrahamyan and Melsik Kyureghyan — New recursive construction of normal polynomials over finite fields
    • A. Aguglia and G. Korchmáros — Collineation groups strongly irreducible on an oval in a projective plane of odd order
    • Ioulia N. Baoulina — On the solvability of certain equations over finite fields
    • Martino Borello — On automorphism groups of binary linear codes
    • Anne Canteaut and Joëlle Roué — Extended differential properties of cryptographic functions
    • Florian Caullery — A divisibility criterion for exceptional APN functions
    • Ayça Çeşmelioğlu and Wilfried Meidl — Non weakly regular bent polynomials from vectorial quadratic functions
    • A. Cossidente, G. Korchmáros and G. Marino — Strongly regular graphs arising from Hermitian varieties
    • Jérôme Ducoat — Generalized rank weights: A duality statement
    • Satoru Fukasawa — An upper bound for the number of Galois points for a plane curve
    • Rainer Göttfert — A generalization of the nonlinear combination generator
    • Yoshinori Hamahata — Dedekind sums with a parameter in function fields
    • Masaaki Homma — Numbers of points of hypersurfaces without lines over finite fields
    • Thomas Honold, Michael Kiermaier and Sascha Kurz — Optimal binary subspace codes of length $6$, constant dimension $3$ and minimum subspace distance $4$
    • Xiang-dong Hou — A survey of permutation binomials and trinomials over finite fields
    • Ming-Deh Huang and Anand Kumar Narayanan — 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
    • Relinde Jurrius and Ruud Pellikaan — The coset leader and list weight enumerator
    • Nicholas M. Katz — Wieferich past and future
    • Michel Lavrauw and Geertrui Van de Voorde — Field reduction and linear sets in finite geometry
    • Sihem Mesnager — Bent functions from spreads
    • Amela Muratović-Ribić, Alexander Pott, David Thomson and Qiang Wang — On the characterization of a semi-multiplicative analogue of planar functions over finite fields
    • Mikhail Muzychuk — A solution of an equivalence problem for semisimple cyclic codes
    • Johannes Mykkeltveit and Janusz Szmidt — On cross joining de Bruijn sequences
    • Daniel Panario, Amin Sakzad and David Thomson — Ambiguity and deficiency of reversed Dickson permutations
    • J. Wolfmann — From near-bent to bent: A special case
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 632; 2015; 371 pp
MSC: Primary 05; 11; 12; 20; 51; 94

This volume contains the proceedings of the 11th International Conference on Finite Fields and their Applications (Fq11), held July 22–26, 2013, in Magdeburg, Germany.

Finite Fields are fundamental structures in mathematics. They lead to interesting deep problems in number theory, play a major role in combinatorics and finite geometry, and have a vast amount of applications in computer science.

Papers in this volume cover these aspects of finite fields as well as applications in coding theory and cryptography.
Readership

Graduate students and research mathematicians interested in number theory, coding theory, cryptography, and finite geometry.
  • Articles
  • Sergey Abrahamyan and Melsik Kyureghyan — New recursive construction of normal polynomials over finite fields
  • A. Aguglia and G. Korchmáros — Collineation groups strongly irreducible on an oval in a projective plane of odd order
  • Ioulia N. Baoulina — On the solvability of certain equations over finite fields
  • Martino Borello — On automorphism groups of binary linear codes
  • Anne Canteaut and Joëlle Roué — Extended differential properties of cryptographic functions
  • Florian Caullery — A divisibility criterion for exceptional APN functions
  • Ayça Çeşmelioğlu and Wilfried Meidl — Non weakly regular bent polynomials from vectorial quadratic functions
  • A. Cossidente, G. Korchmáros and G. Marino — Strongly regular graphs arising from Hermitian varieties
  • Jérôme Ducoat — Generalized rank weights: A duality statement
  • Satoru Fukasawa — An upper bound for the number of Galois points for a plane curve
  • Rainer Göttfert — A generalization of the nonlinear combination generator
  • Yoshinori Hamahata — Dedekind sums with a parameter in function fields
  • Masaaki Homma — Numbers of points of hypersurfaces without lines over finite fields
  • Thomas Honold, Michael Kiermaier and Sascha Kurz — Optimal binary subspace codes of length $6$, constant dimension $3$ and minimum subspace distance $4$
  • Xiang-dong Hou — A survey of permutation binomials and trinomials over finite fields
  • Ming-Deh Huang and Anand Kumar Narayanan — 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
  • Relinde Jurrius and Ruud Pellikaan — The coset leader and list weight enumerator
  • Nicholas M. Katz — Wieferich past and future
  • Michel Lavrauw and Geertrui Van de Voorde — Field reduction and linear sets in finite geometry
  • Sihem Mesnager — Bent functions from spreads
  • Amela Muratović-Ribić, Alexander Pott, David Thomson and Qiang Wang — On the characterization of a semi-multiplicative analogue of planar functions over finite fields
  • Mikhail Muzychuk — A solution of an equivalence problem for semisimple cyclic codes
  • Johannes Mykkeltveit and Janusz Szmidt — On cross joining de Bruijn sequences
  • Daniel Panario, Amin Sakzad and David Thomson — Ambiguity and deficiency of reversed Dickson permutations
  • J. Wolfmann — From near-bent to bent: A special case
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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