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Finite Fields and their Applications
Proceedings of the 14th International Conference on Finite Fields and their Applications, Vancouver, June 3-7, 2019
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Edited by:
James A. Davis
Language:
English
Published/Copyright:
2020
About this book
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.
- A collection of up-to-date research contributions on finite fields
- Edited and refereed by renowned experts in the field
Author / Editor information
James A. Davis, Richmond, VA
Topics
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Frontmatter
I -
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Contents
V -
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A note on depth-b normal elements
1 -
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Values of Dirichlet–Goss series with periodic coefficients
11 -
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On elements of normal depth-2 in quartic extensions of Fp
25 -
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Relative linking systems of difference sets and linking systems of relative difference sets
43 -
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On solving isomorphism problems about 2-designs using block intersection numbers
51 -
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Multiplication and squaring in cubic and quartic extensions for pairing based cryptography
71 -
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Crooked functions
87 -
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Diophantine statements over residue fields: Galois stratification and uniformity
103 -
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The algebraic theory of fractional jumps
133 -
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Some results on linearized trinomials that split completely
149 -
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Non-Abelian orthogonal building sets
165 -
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Examples of plane rational curves with two Galois points in positive characteristic
181 -
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Covering strong separating hash families
189 -
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Monomial-Cartesian codes closed under divisibility
199
Publishing information
Pages and Images/Illustrations in book
eBook published on:
October 26, 2020
eBook ISBN:
9783110621730
Hardcover published on:
October 26, 2020
Hardcover ISBN:
9783110621235
Pages and Images/Illustrations in book
Front matter:
6
Main content:
208
Illustrations:
10
Tables:
20
Audience(s) for this book
Researchers and graduate students
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
