Bent functions : results and applications to cryptography / (Record no. 247144)
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| fixed length control field | 05982cam a2200577Ii 4500 |
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| control field | ocn919201561 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20190328114812.0 |
| 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|||unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 150826t20152015enka ob 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2015935721 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | N$T |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | N$T |
| Modifying agency | N$T |
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| 019 ## - | |
| -- | 919297114 |
| -- | 923546855 |
| -- | 929142768 |
| -- | 1066653364 |
| -- | 1088983040 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780128025550 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0128025557 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780128023181 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 012802318X |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)919201561 |
| Canceled/invalid control number | (OCoLC)919297114 |
| -- | (OCoLC)923546855 |
| -- | (OCoLC)929142768 |
| -- | (OCoLC)1066653364 |
| -- | (OCoLC)1088983040 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA341 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 000000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511.3/3 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Tokareva, Natalia, |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Bent functions : results and applications to cryptography / |
| Medium | [electronic resource] |
| Statement of responsibility, etc. | by Natalia Tokareva. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | London : |
| Name of producer, publisher, distributor, manufacturer | Academic Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2015 |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | �2015 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource : |
| Other physical details | illustrations (some color) |
| 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 |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Online resource; title from PDF title page (Ebsco, viewed August 27 2015). |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Bent Functions: Results and Applications to Cryptography offers a unique survey of the objects of discrete mathematics known as Boolean bent functions. As these maximal, nonlinear Boolean functions and their generalizations have many theoretical and practical applications in combinatorics, coding theory, and cryptography, the text provides a detailed survey of their main results, presenting a systematic overview of their generalizations and applications, and considering open problems in classification and systematization of bent functions. The text is appropriate for novices and advanced researchers, discussing proofs of several results, including the automorphism group of bent functions, the lower bound for the number of bent functions, and more. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | ""Front Cover""; ""Bent Functions: Results and Applications to Cryptography""; ""Copyright""; ""Contents""; ""Foreword""; ""Preface""; ""Notation""; ""Chapter 1: Boolean Functions""; ""Introduction""; ""1.1 Definitions""; ""1.2 Algebraic Normal Form""; ""1.3 Boolean Cube and Hamming Distance""; ""1.4 Extended Affinely Equivalent Functions""; ""1.5 Walsh-Hadamard Transform""; ""1.6 Finite Field and Boolean Functions""; ""1.7 Trace Function""; ""1.8 Polynomial Representation of a Boolean Function""; ""1.9 Trace Representation of a Boolean Function""; ""1.10 Monomial Boolean Functions"" |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | ""Chapter 2: Bent Functions: An Introduction""""Introduction""; ""2.1 Definition of a Nonlinearity""; ""2.2 Nonlinearity of a Random Boolean Function""; ""2.3 Definition of a Bent Function""; ""2.4 If n Is Odd?""; ""2.5 Open Problems""; ""2.6 Surveys""; ""Chapter 3: History of Bent Functions""; ""Introduction""; ""3.1 Oscar Rothaus""; ""3.2 V.A. Eliseev and O.P. Stepchenkov""; ""3.3 From the 1970s to the Present""; ""Chapter 4: Applications of Bent Functions""; ""Introduction""; ""4.1 Cryptography: Linear Cryptanalysis and Boolean Functions""; ""4.2 Cryptography: One Historical Example"" |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | ""4.3 Cryptography: Bent Functions in CAST""""4.4 Cryptography: Bent Functions in Grain""; ""4.5 Cryptography: Bent Functions in HAVAL""; ""4.6 Hadamard Matrices and Graphs""; ""4.7 Links to Coding Theory""; ""4.8 Bent Sequences""; ""4.9 Mobile Networks, CDMA""; ""4.10 Remarks""; ""Chapter 5: Properties of Bent Functions""; ""Introduction""; ""5.1 Degree of a Bent Function""; ""5.2 Affine Transformations of Bent Functions""; ""5.3 Rank of a Bent Function""; ""5.4 Dual Bent Functions""; ""5.5 Other Properties""; ""Chapter 6: Equivalent Representations of Bent Functions""; ""Introduction"" |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | ""6.1 Hadamard Matrices""""6.2 Difference Sets""; ""6.3 Designs""; ""6.4 Linear Spreads""; ""6.5 Sets of Subspaces""; ""6.6 Strongly Regular Graphs""; ""6.7 Bent Rectangles""; ""Chapter 7: Bent Functions with a Small Number of Variables""; ""Introduction""; ""7.1 Two and Four Variables""; ""7.2 Six Variables""; ""7.3 Eight Variables""; ""7.4 Ten and More Variables""; ""7.5 Algorithms for Generation of Bent Functions""; ""7.6 Concluding Remarks""; ""Chapter 8: Combinatorial Constructions of Bent Functions""; ""Introduction""; ""8.1 Rothaus's Iterative Construction"" |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | ""8.2 Maiorana-McFarland Class""""8.3 Partial Spreads: PS+, PS-""; ""8.4 Dillon's Bent Functions: PSap""; ""8.5 Dobbertin's Construction""; ""8.6 More Iterative Constructions""; ""8.7 Minterm Iterative Constructions""; ""8.8 Bent Iterative Functions: BI""; ""8.9 Other Constructions""; ""Chapter 9: Algebraic Constructions of Bent Functions""; ""Introduction""; ""9.1 An Algebraic Approach""; ""9.2 Bent Exponents: General Properties""; ""9.3 Gold Bent Functions""; ""9.4 Dillon Exponent""; ""9.5 Kasami Bent Functions""; ""9.6 Canteaut-Leander Bent Functions (MF-1)"" |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebraic functions. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebra, Boolean. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Cryptography |
| General subdivision | Mathematics. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | General. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebra, Boolean. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00804924 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebraic functions. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00804933 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Cryptography |
| General subdivision | Mathematics. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00884558 |
| 655 #0 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic book. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 655 #7 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| Source of term | lcgft |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Tokareva, Natalia. |
| Title | Bent Functions : Results and Applications to Cryptography. |
| Place, publisher, and date of publication | : Elsevier Science, �2015 |
| International Standard Book Number | 9780128023181 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | ScienceDirect |
| Uniform Resource Identifier | http://www.sciencedirect.com/science/book/9780128023181 |
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