Finite Fields and their Applications

Proceedings of the 14th International Conference on Finite Fields and their Applications, Vancouver, June 3-7, 2019

James A. Davis, James A. Davis

• Publisher: De Gruyter
• Year: 2020
• ISBN:
  9783110621730
• Edition: 1
• Topic: Matematica
• Subtopic: Analisi matematica

The volume covers wide-ranging topics from Theory: structure of finite fields, normal bases, polynomials, function fields, APN functions. Computation: algorithms and complexity, polynomial factorization, decomposition and irreducibility testing, sequences and functions. Applications: algebraic coding theory, cryptography, algebraic geometry over finite fields, finite incidence geometry, designs, combinatorics, quantum information science.

Table of contents

• Contents
• A note on depth-b normal elements
• Values of Dirichlet–Goss series with periodic coefficients
• On elements of normal depth-2 in quartic extensions of F_p
• Relative linking systems of difference sets and linking systems of relative difference sets
• On solving isomorphism problems about 2-designs using block intersection numbers
• Multiplication and squaring in cubic and quartic extensions for pairing based cryptography
• Crooked functions
• Diophantine statements over residue fields: Galois stratification and uniformity
• The algebraic theory of fractional jumps
• Some results on linearized trinomials that split completely
• Non-Abelian orthogonal building sets
• Examples of plane rational curves with two Galois points in positive characteristic
• Covering strong separating hash families
• Monomial-Cartesian codes closed under divisibility