| Hardcover ISBN: | 978-0-8218-4680-3 |
| Product Code: | MMONO/241 |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-1626-3 |
| Product Code: | MMONO/241.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Hardcover ISBN: | 978-0-8218-4680-3 |
| eBook: ISBN: | 978-1-4704-1626-3 |
| Product Code: | MMONO/241.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
| Hardcover ISBN: | 978-0-8218-4680-3 |
| Product Code: | MMONO/241 |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-1626-3 |
| Product Code: | MMONO/241.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Hardcover ISBN: | 978-0-8218-4680-3 |
| eBook ISBN: | 978-1-4704-1626-3 |
| Product Code: | MMONO/241.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
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Book DetailsTranslations of Mathematical MonographsVolume: 241; 2012; 334 ppMSC: Primary 94
This book offers a systematic presentation of cryptographic and code-theoretic aspects of the theory of Boolean functions. Both classical and recent results are thoroughly presented. Prerequisites for the book include basic knowledge of linear algebra, group theory, theory of finite fields, combinatorics, and probability. The book can be used by research mathematicians and graduate students interested in discrete mathematics, coding theory, and cryptography.
ReadershipResearch mathematicians interested in discrete mathematics, coding theory, and cryptography.
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Table of Contents
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Chapters
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Arithmetics of finite fields and polynomials
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Boolean functions
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Classifications of Boolean functions
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Linear codes over the field $\mathbb {F_2}$
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Reed-Muller codes
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Nonlinearity
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Correlation immunity and resiliency
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Codes, Boolean mappings and their cryptographic properties
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Basics of cryptanalysis
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This book offers a systematic presentation of cryptographic and code-theoretic aspects of the theory of Boolean functions. Both classical and recent results are thoroughly presented. Prerequisites for the book include basic knowledge of linear algebra, group theory, theory of finite fields, combinatorics, and probability. The book can be used by research mathematicians and graduate students interested in discrete mathematics, coding theory, and cryptography.
Research mathematicians interested in discrete mathematics, coding theory, and cryptography.
-
Chapters
-
Arithmetics of finite fields and polynomials
-
Boolean functions
-
Classifications of Boolean functions
-
Linear codes over the field $\mathbb {F_2}$
-
Reed-Muller codes
-
Nonlinearity
-
Correlation immunity and resiliency
-
Codes, Boolean mappings and their cryptographic properties
-
Basics of cryptanalysis
