Combinatorics and finite fields : difference sets, polynomials, pseudorandomness and applications / edited by Kai-Uwe Schmidt, Arne Winterhof.

Format:

Book

Contributor:

Schmidt, Kai-Uwe, editor.

Winterhof, Arne, editor.

Series:

Radon Series on Computational and Applied Mathematics ; 23

Language:

English

Subjects (All):

Combinatorial analysis.

Physical Description:

1 online resource (VIII, 346 p.)

Place of Publication:

Berlin ; Boston : De Gruyter, [2019]

Language Note:

In English.

Summary:

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.

Contents:

Frontmatter

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 xt + γTrqn/q(xd)

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

Notes:

Description based on print version record.

ISBN:

3-11-064196-8

3-11-064209-3

OCLC:

1110714463