Combinatorics and Finite Fields : : Difference Sets, Polynomials, Pseudorandomness and Applications /

Combinatorics and Finite Fields : : Difference Sets, Polynomials, Pseudorandomness and Applications / / ed. by Kai-Uwe Schmidt, Arne Winterhof.

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 pseudorand...

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Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
MitwirkendeR:
Ayça, Çeşmelioğlu,
Buratti, Marco,
Clayton, David,
Clikeman, John,
Davis, James A.,
Gerike, Daniel,
Greevenbroek, Koen van,
Jedwab, Jonathan,
Katz, Daniel J.,
Kiermaier, Michael,
Kurz, Sascha,
Kyureghyan, Gohar M.,
Maitra, Subhamoy,
Martins, Rodrigo,
Meidl, Wilfried,
Momihara, Koji,
Nakić, Anamari,
Panario, Daniel,
Petridis, Giorgis,
Pott, Alexander,
Qureshi, Claudio,
Rudnev, Misha,
Schmidt, Bernhard,
Sheekey, John,
Siddhanti, Akhilesh Anilkumar,
Wang, Qi,
Wang, Qiang,
Wassermann, Alfred,
Xiang, Qing,
HerausgeberIn:
Schmidt, Kai-Uwe,
Winterhof, Arne,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2019]
©2019
Year of Publication:2019
Language:English
Series:Radon Series on Computational and Applied Mathematics , 23
Online Access:
Physical Description:1 online resource (VIII, 346 p.)
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Table of 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

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