Boolean functions in coding theory and cryptography (Record no. 55973)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04088nam a22002297a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20191121122454.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 191121b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470437374 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 003.54 LOG |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Oleg A Logachev |
| -- | ; A A Salʹnikov |
| -- | ; V V I︠A︡shchenko |
| 245 ## - TITLE STATEMENT | |
| Title | Boolean functions in coding theory and cryptography |
| Statement of responsibility, etc | /Oleg A Logachev |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Providence, R.I. |
| Name of publisher, distributor, etc | : American Mathematical Society |
| Date of publication, distribution, etc | , ©2012. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiv, 334 pages |
| Dimensions | ; 26 cm. |
| 365 ## - TRADE PRICE | |
| Price amount | 00 |
| 490 ## - SERIES STATEMENT | |
| Series statement | Translations of mathematical monographs, v. 241. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Contents note | Ch. 1 Arithmetics of Finite Fields and Polynomials --<br/>1.1. Basic Algebra --<br/>1.2. Construction of finite fields --<br/>1.3. Polynomials over finite fields --<br/>Comments to Chapter 1 --<br/>ch. 2 Boolean Functions --<br/>2.1. Basic concepts and definitions --<br/>2.2. Numerical and metric characteristics --<br/>2.3. Autocorrelation and crosscorrelation --<br/>2.4. Group algebra of Boolean functions --<br/>2.5. Cryptographic properties of Boolean functions and mappings --<br/>2.6. Covering sequences of Boolean functions --<br/>Comments to Chapter 2 --<br/>ch. 3 Classifications of Boolean Functions --<br/>3.1. Group equivalence of mappings. Polya's theorem --<br/>3.2. Classification of Boolean functions of five variables --<br/>3.3. Classification of quadratic Boolean functions --<br/>3.4. Classification of homogeneous cubic forms of 8 variables --<br/>3.5. RM-equivalence of Boolean functions --<br/>Comments to Chapter 3 --<br/>ch. 4 Linear Codes over the Field F2 --<br/>4.1. Basic properties of linear block codes --<br/>4.2. decoding problem --<br/>4.3. Cyclic codes --<br/>4.4. Some classes of primitive cyclic codes --<br/>Comments to Chapter 4 --<br/>ch. 5 Reed-Muller Codes --<br/>5.1. General properties of the Reed-Muller codes --<br/>5.2. Reed's decoding algorithm --<br/>5.3. First order Reed-Muller codes and connections with other codes --<br/>5.4. Reed-Muller codes of second order and related codes --<br/>5.5. Classification of Boolean functions and Reed-Muller codes of the 3rd order --<br/>Comments to Chapter 5 --<br/>ch. 6 Nonlinearity --<br/>6.1. Nonlinearity as a measure of cryptographic quality --<br/>6.2. Maximum-nonlinear bent functions and their properties --<br/>6.3. Some classes of maximum-nonlinear bent functions --<br/>6.4. Partially maximum-nonlinear (partially bent) functions and their properties --<br/>6.5. Plateaued functions and partially defined mn-bent functions --<br/>6.6. Hyperbent functions --<br/>6.7. Biorthogonal bases --<br/>Comments to Chapter 6 --<br/>ch. 7 Correlation Immunity and Resiliency --<br/>7.1. Main definitions and properties --<br/>7.2. inheritance of properties under restrictions of Boolean functions --<br/>7.3. General methods for constructing correlation-immune functions and resilient mappings --<br/>7.4. Nonlinearity of correlation-immune and resilient functions --<br/>7.5. Construction of resilient Boolean functions with good cryptographic properties --<br/>7.6. Covering sequences of correlation-immune and resilient functions --<br/>7.7. Quadratic resilient Boolean functions of maximum order --<br/>Comments to Chapter 7 --<br/>ch. 8 Codes, Boolean Mappings, and Their Cryptographic Properties --<br/>8.1. Almost perfect nonlinear and almost bent mappings --<br/>8.2. Coding-theoretic approach to the study of APN and AB mappings --<br/>8.3. Cyclic codes and Boolean mappings --<br/>8.4. Avalanche criteria and propagation criteria --<br/>8.5. Construction of Boolean functions satisfying the propagation criterion of degree m and order t --<br/>8.6. Global avalanche characteristics of Boolean functions --<br/>Comments to Chapter 8 --<br/>ch. 9 Basics of Cryptanalysis --<br/>9.1. Berlekamp-Massey algorithm. Linear complexity --<br/>9.2. Principles of the statistical method for cryptanalysis of block ciphers --<br/>9.3. Principles of the correlation cryptanalysis method --<br/>9.4. Principles of the linear cryptanalysis method --<br/>9.5. Principles of the difference (differential) cryptanalysis method --<br/>Comments to Chapter 9. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Cryptography |
| 655 ## - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Coding theory |
| Non-focus term | Algebra, Boolean |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | A A Salʹnikov |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | ; V V I︠A︡shchenko |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Date checked out | Price effective from | Koha item type | Public note |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | SNU LIBRARY | SNU LIBRARY | 21/11/2019 | Maths Gifted Book | 0.00 | 1 | 003.54 LOG | G1569 | 09/05/2023 | 02/05/2023 | 21/11/2019 | Books | Maths Gifted Book |
