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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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2019 |
| Year of Publication: | 2019 |
| Language: | English |
| Series: | Radon Series on Computational and Applied Mathematics ,
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| Physical Description: | 1 online resource (VIII, 346 p.) |
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Combinatorics and Finite Fields : Difference Sets, Polynomials, Pseudorandomness and Applications / ed. by Kai-Uwe Schmidt, Arne Winterhof. Berlin ; Boston : De Gruyter, [2019] ©2019 1 online resource (VIII, 346 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Radon Series on Computational and Applied Mathematics , 1865-3707 ; 23 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Combinatorial analysis. Finite fields (Algebra) Finite fields (Algebra). Differenzenmenge. Galois-Feld. Kombinatorik. Polynom. Pseudozufallszahl. MATHEMATICS / Combinatorics. bisacsh Ayça, Çeşmelioğlu, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Buratti, Marco, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Clayton, David, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Clikeman, John, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Davis, James A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gerike, Daniel, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Greevenbroek, Koen van, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jedwab, Jonathan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Katz, Daniel J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kiermaier, Michael, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kurz, Sascha, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kyureghyan, Gohar M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Maitra, Subhamoy, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Martins, Rodrigo, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Meidl, Wilfried, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Momihara, Koji, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nakić, Anamari, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Panario, Daniel, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Petridis, Giorgis, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Pott, Alexander, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Qureshi, Claudio, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rudnev, Misha, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Schmidt, Bernhard, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Schmidt, Kai-Uwe, editor. edt http://id.loc.gov/vocabulary/relators/edt Sheekey, John, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Siddhanti, Akhilesh Anilkumar, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wang, Qi, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wang, Qiang, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wassermann, Alfred, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Winterhof, Arne, editor. edt http://id.loc.gov/vocabulary/relators/edt Xiang, Qing, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 9783110762464 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 9783110719567 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English 9783110616859 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English 9783110610765 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 9783110664232 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English 9783110610406 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 9783110606362 ZDB-23-DMA Title is part of eBook package: De Gruyter Radon Series on Applied Mathematics eBook-Package 9783110647174 EPUB 9783110641967 print 9783110641790 https://doi.org/10.1515/9783110642094 https://www.degruyter.com/isbn/9783110642094 Cover https://www.degruyter.com/document/cover/isbn/9783110642094/original |
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Ayça, Çeşmelioğlu, |
| title |
Combinatorics and Finite Fields : Difference Sets, Polynomials, Pseudorandomness and Applications / |
| spellingShingle |
Combinatorics and Finite Fields : Difference Sets, Polynomials, Pseudorandomness and Applications / Radon Series on Computational and Applied Mathematics , 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 |
| title_sub |
Difference Sets, Polynomials, Pseudorandomness and Applications / |
| title_full |
Combinatorics and Finite Fields : Difference Sets, Polynomials, Pseudorandomness and Applications / ed. by Kai-Uwe Schmidt, Arne Winterhof. |
| title_fullStr |
Combinatorics and Finite Fields : Difference Sets, Polynomials, Pseudorandomness and Applications / ed. by Kai-Uwe Schmidt, Arne Winterhof. |
| title_full_unstemmed |
Combinatorics and Finite Fields : Difference Sets, Polynomials, Pseudorandomness and Applications / ed. by Kai-Uwe Schmidt, Arne Winterhof. |
| title_auth |
Combinatorics and Finite Fields : Difference Sets, Polynomials, Pseudorandomness and Applications / |
| title_alt |
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 |
| title_new |
Combinatorics and Finite Fields : |
| title_sort |
combinatorics and finite fields : difference sets, polynomials, pseudorandomness and applications / |
| series |
Radon Series on Computational and Applied Mathematics , |
| series2 |
Radon Series on Computational and Applied Mathematics , |
| publisher |
De Gruyter, |
| publishDate |
2019 |
| physical |
1 online resource (VIII, 346 p.) Issued also in print. |
| 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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9783110642094 9783110762464 9783110719567 9783110616859 9783110610765 9783110664232 9783110610406 9783110606362 9783110647174 9783110641967 9783110641790 |
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1865-3707 ; |
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Q - Science |
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QA - Mathematics |
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QA164 |
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QA 3164 C66337 42019 |
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https://doi.org/10.1515/9783110642094 https://www.degruyter.com/isbn/9783110642094 https://www.degruyter.com/document/cover/isbn/9783110642094/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
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511 - General principles of mathematics |
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511.6 |
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3511.6 |
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511.6 |
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511.6 |
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10.1515/9783110642094 |
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1110714463 |
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This book contains survey articles on topics such as difference sets, polynomials, and pseudorandomness.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Combinatorial analysis.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Finite fields (Algebra)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Finite fields (Algebra).</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differenzenmenge.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Galois-Feld.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Kombinatorik.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Polynom.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Pseudozufallszahl.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Combinatorics.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="700" ind1="1" ind2=" 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