Screen LibraryCombinatorics and finite fields : difference sets, polynomials, pseudorandomness and applications /
"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 signla processing and coding theory. This book contains surveys on combinatorics and finite fields and applications with focus o...
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| Group Author: | ; |
|---|---|
| Published: |
De Gruyter,
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| Publisher Address: | Berlin : |
| Publication Dates: | [2019] |
| Literature type: | Book |
| Language: | English |
| Series: |
Radon series on computational and applied mathematics ; volume 23. 1865-3707 |
| Subjects: | |
| 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 signla processing and coding theory. This book contains surveys on combinatorics and finite fields and applications with focus on difference sets, polynomials and pseudorandomness. For example, difference sets are intensively studied combinatorial objects with applications such as wireless communication and radar, imaging and quantum information theory. Polynomials apprea in check-digit systems and error-correcting codes. Pseudorandom structures guarantee features needed for Monte-Carlo methods or cryptography"--Back cover. |
| Carrier Form: | viii, 346 pages : illustrations, forms ; 25 cm. |
| Bibliography: | Includes bibliographical references. |
| ISBN: |
9783110641790 (hardback) : 3110641798 (hardback) 9783110642094 (PDF) 3110642093 (PDF) 9783110641967 (EPUB) 3110641968 (EPUB) |
| Index Number: | QA164 |
| CLC: |
O153.4 O157.1 |
| Call Number: | O157.1/C731-2 |
| 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 + yTrqn/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 / |