Theory and Applications of Finite Fields. (Record no. 68866)
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| fixed length control field | 05814nam a22005533i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3113332 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124540.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2012 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821891575 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821852989 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3113332 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3113332 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10878787 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922980860 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA247.3 -- .I57 2011eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512/.3 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Lavrauw, Michel. |
| 245 10 - TITLE STATEMENT | |
| Title | Theory and Applications of Finite Fields. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2012. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (216 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Contemporary Mathematics ; |
| Volume/sequential designation | v.579 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Preface -- Low dimensional models of the finite split Cayley hexagon -- 1. Introduction -- 2. The 3-dimensional Hermitian surface and its Baer substructures -- 3. The connection with the 6-dimensional parabolic quadric -- 4. Characterising the split Cayley hexagon in the 6-dimensional parabolic quadric -- 5. A connection with Phan theory -- Acknowledgements -- References -- Davenport's constant for groups with large exponent -- 1. Introduction and results -- 2. Systems of disjoint zero-sums -- 3. Proof of Theorem 1.1 -- 4. Proof of Theorem 1.4: The case ≤7 -- 5. Proof of Theorem 1.4: The case ≥7 -- References -- Permanent has less zeros than determinant over finite fields -- 1. Introduction -- 2. Matrices with zero permanent. -- Acknowledgments -- References -- On a series of modules for the symplectic group in characteristic 2 -- 1. Introduction -- 2. Proof of Theorem 1.2 -- Acknowledgments -- References -- Exact divisibility of exponential sums and some consequences -- 1. Introduction -- 2. Preliminaries -- 3. Exact Divisibility of Exponential Sums in One Variable over _{ } -- Acknowledgements -- References -- Additive character sums of polynomial quotients -- 1. Introduction -- 2. Small degree -- 3. Monomials -- Acknowledgment -- References -- 5-Designs related to binary extremal self-dual codes of length 24 -- 1. Introduction -- 2. The case =5 -- 3. Automorphism groups -- 4. Questions -- References -- Sequences of Dedekind sums in function fields -- 1. Introduction -- 2. Additive functions -- 3. Inhomogeneous Dedekind sums -- 4. Higher dimensional Dedekind sums -- 5. Proofs of Theorems 3.4, 4.6 -- 6. Limits of Dedekind sums -- References -- Niho Bent Functions and Subiaco Hyperovals -- 1. Introduction and Preliminaries -- 2. Subiaco Hyperovals -- 3. Bent Functions from Subiaco Hyperovals -- References. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | A bound on the number of points of a curve in a projective space over a finite field -- 1. Introduction -- 2. Combinatorial approach -- 3. Number of points of a non-degenerate irreducible curve -- 4. Proof of Theorem 1.1 and Corollary 1.2 -- 5. Asymptotic behavior -- References -- Designs in Projective Hjelmslev Spaces -- 1. Introduction -- 2. Modules over Finite Chain Rings -- 3. Projective Hjelmslev Spaces -- 4. Relations between the -designs -- 5. Spreads -- 6. The Nonexistence of Some Spreads of Non-free Submodules -- 7. Open Problems -- Acknowledgements -- References -- On the nuclei of a finite semifield -- 1. Introduction -- 2. Isotopy relation and nuclei -- 3. The known families of commutative semifields -- 4. The isotopy issue -- References -- Small-bias sets from extended norm-trace codes -- 1. Introduction and preliminaries -- 2. Balanced codes and small-bias sets -- 3. Extended norm-trace codes and associated -biased sets -- References -- On the Waring Problem with multivariate Dickson polynomials -- 1. Introduction -- 2. Preparations -- 3. Existence of ₁( , , ) -- 4. Estimates for ₐ( , , ) -- 5. Final remarks -- References -- Polynomials modulo and the theory of Galois sets -- Introduction -- 1. Background -- 2. A Proof of Kronecker's Average value Theorem -- 3. Irreducibility of Polynomials Modulo -- 4. The Theory of Galois Sets -- References -- Additive decompositions induced by multiplicative characters over finite fields -- 1. Introduction -- 2. Preliminaries -- 3. Results -- 4. Connections with other problems -- References -- Graphs associated with the map \ + ⁻¹ in finite fields of characteristic two -- 1. Introduction -- 2. Preliminaries -- 3. The structure of the group of the rational points of an elliptic curve over a finite field -- 4. The structure of the graphs -- 5. Examples. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 6. A note on the construction of the graphs -- References. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Finite fields (Algebra) -- Congresses. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Arithmetical algebraic geometry -- Congresses. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Number theory -- Congresses. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Coding theory -- Congresses. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Mullen, Gary L. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Nikova, Svetla. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Panario, Daniel. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Storme, Leo. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Lavrauw, Michel |
| Title | Theory and Applications of Finite Fields |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2012 |
| International Standard Book Number | 9780821852989 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Contemporary Mathematics |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113332">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113332</a> |
| Public note | Click to View |
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