Combinatorics and Finite Fields
Difference Sets, Polynomials, Pseudorandomness and Applications
1st Edition
Published on 8. July 2019
VIII, 346 pages
978-3-11-064209-4 (ISBN)
Description
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.
More details
Other editions
Additional editions
Kai-Uwe Schmidt | Arne Winterhof
Combinatorics and Finite Fields
Difference Sets, Polynomials, Pseudorandomness and Applications
Book
02/2024
1st Edition
De Gruyter
€179.95
Shipment within 7-9 days
Kai-Uwe Schmidt | Arne Winterhof
Combinatorics and Finite Fields
Difference Sets, Polynomials, Pseudorandomness and Applications
E-Book
07/2019
1st Edition
De Gruyter
€179.95
Available for download
Persons
Kai-Uwe Schmidt , Paderborn University, Germany; Arne Winterhof , Radon Institute for Computational and Applied Mathematics, Austria.
Content
- Intro
- Introduction
- Contents
- 1. Tiling rings with "precious" differences
- 2. q-analogs of group divisible designs
- 3. A survey on bent functions and their duals
- 4. Construction of Bent functions using covering extended building sets
- 5. Results on permutation polynomials of shape x⊃&t&/sup& + ?Tr⊂&q&/sub&⊃&n&/sup&/⊂&q&/sub&(x⊃&d&/sup&)
- 6. A new structure for difference matrices over abelian p-groups
- 7. Weil sums of binomials: properties, applications and open problems
- 8. A survey on iterations of mappings over finite fields
- 9. Cyclotomy, difference sets, sequences with low correlation, strongly regular graphs and related geometric substructures
- 10. Pseudorandomness of large sets in finite fields
- 11. Point-plane incidences and some applications in positive characteristic
- 12. A survey of group invariant Butson matrices and their relation to generalized bent functions and various other objects
- 13. MRD codes: constructions and connections
- 14. Differential fault attack on hardware stream ciphers-a technical survey
- 15. Polynomials over finite fields: an index approach
