A second decade of "Finite fields and their applications"

Research output: Contribution to journalEditorial

Abstract

Some topics with a strong recent research development include additive combinatorics, finite fields models, iteration of functions, dynamical systems over finite fields, and several areas related to theoretical computer science. Other already existing areas of finite fields research have received renewed impulses with important recent developments. Apart from being an interesting and exciting area in combinatorics with beautiful results, finite projective spaces or Galois geometries have many applications to coding theory, algebraic geometry, design theory, graph theory, cryptology and group theory. Differential properties of the exponential and logarithm functions over finite fields are well known and close to optimal. Nevertheless a precise estimation of their linearity remains unknown.

Original languageEnglish (US)
Pages (from-to)1-4
Number of pages4
JournalFinite Fields and their Applications
Volume32
DOIs
StatePublished - Jan 1 2015

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Galois field
Group theory
Geometry
Graph theory
Computer science
Dynamical systems
Additive Combinatorics
Cryptology
Coding Theory
Algebraic Geometry
Galois
Group Theory
Projective Space
Combinatorics
Linearity
Logarithm
Impulse
Research and Development
Computer Science
Dynamical system

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Algebra and Number Theory
  • Engineering(all)
  • Applied Mathematics

Cite this

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abstract = "Some topics with a strong recent research development include additive combinatorics, finite fields models, iteration of functions, dynamical systems over finite fields, and several areas related to theoretical computer science. Other already existing areas of finite fields research have received renewed impulses with important recent developments. Apart from being an interesting and exciting area in combinatorics with beautiful results, finite projective spaces or Galois geometries have many applications to coding theory, algebraic geometry, design theory, graph theory, cryptology and group theory. Differential properties of the exponential and logarithm functions over finite fields are well known and close to optimal. Nevertheless a precise estimation of their linearity remains unknown.",
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A second decade of "Finite fields and their applications". / Mullen, Gary Lee.

In: Finite Fields and their Applications, Vol. 32, 01.01.2015, p. 1-4.

Research output: Contribution to journalEditorial

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