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Combinatorics and Finite Fields
Difference Sets, Polynomials, Pseudorandomness and Applications
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Edited by:
Kai-Uwe Schmidt
Language:
English
Published/Copyright:
2019
About this book
Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory. This book contains survey articles on topics such as difference sets, polynomials, and pseudorandomness.
- A collection of surveys on applications of combinatorics and finite fields
- Covers applications in wireless communication, imaging, check-digit systems, error-correcting codes, cryptography etc.
- Includes contributions by leading experts in the field
Author / Editor information
Kai-Uwe Schmidt, Paderborn University, Germany; Arne Winterhof, Radon Institute for Computational and Applied Mathematics, Austria.
Topics
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Frontmatter
I -
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Introduction
V -
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Contents
VII -
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1. Tiling rings with “precious” differences
1 -
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2. q-analogs of group divisible designs
21 -
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3. A survey on bent functions and their duals
39 -
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4. Construction of Bent functions using covering extended building sets
57 -
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5. Results on permutation polynomials of shape xt + γTrqn/q(xd)
67 -
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6. A new structure for difference matrices over abelian p-groups
79 -
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7. Weil sums of binomials: properties, applications and open problems
109 -
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8. A survey on iterations of mappings over finite fields
135 -
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9. Cyclotomy, difference sets, sequences with low correlation, strongly regular graphs and related geometric substructures
173 -
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10. Pseudorandomness of large sets in finite fields
199 -
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11. Point-plane incidences and some applications in positive characteristic
211 -
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12. A survey of group invariant Butson matrices and their relation to generalized bent functions and various other objects
241 -
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13. MRD codes: constructions and connections
255 -
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14. Differential fault attack on hardware stream ciphers—a technical survey
287 -
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15. Polynomials over finite fields: an index approach
319
Publishing information
Pages and Images/Illustrations in book
eBook published on:
July 8, 2019
eBook ISBN:
9783110642094
Hardcover published on:
July 8, 2019
Hardcover ISBN:
9783110641790
Pages and Images/Illustrations in book
Front matter:
8
Main content:
346
Illustrations:
9
Tables:
50
Audience(s) for this book
Researchers and graduate students in discrete mathematics and computer science.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
