Finite fields and their applications : proceedings of the 14th International Conference on Finite Fields and their Applications, Vancouver, June 3-7, 2019 / edited by James A. Davis.

Format:

Book

Contributor:

Davis, James A., editor.

Series:

Proceedings in mathematics.

De Gruyter proceedings in mathematics

Language:

English

Subjects (All):

Finite fields (Algebra)--Congresses.

Finite fields (Algebra).

Physical Description:

1 online resource (VI, 208 p.)

Place of Publication:

Berlin ; Boston : De Gruyter, [2020]

Language Note:

In English.

Summary:

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.

Contents:

Frontmatter

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 Fp

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

Notes:

Description based on print version record.

ISBN:

9783110621730

3110621738

OCLC:

1202479277