An introduction to mathematical cryptography:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2014
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Undergraduate texts in mathematics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781493917105 9781493917112 |
| DOI: | 10.1007/978-1-4939-1711-2 |
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Datensatz im Suchindex
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|---|---|
| adam_text | AN INTRODUCTION TO MATHEMATICAL CRYPTOGRAPHY
/ HOFFSTEIN, JEFFREY
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
INTRODUCTION
1 AN INTRODUCTION TO CRYPTOGRAPHY
2 DISCRETE LOGARITHMS AND DIFFIE-HELLMAN
3 INTEGER FACTORIZATION AND RSA
4 DIGITAL SIGNATURES
5 COMBINATORICS, PROBABILITY, AND INFORMATION THEORY
6 ELLIPTIC CURVES AND CRYPTOGRAPHY
7 LATTICES AND CRYPTOGRAPHY
8 ADDITIONAL TOPICS IN CRYPTOGRAPHY
LIST OF NOTATION
REFERENCES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
AN INTRODUCTION TO MATHEMATICAL CRYPTOGRAPHY
/ HOFFSTEIN, JEFFREY
: 2014
ABSTRACT / INHALTSTEXT
THIS SELF-CONTAINED INTRODUCTION TO MODERN CRYPTOGRAPHY EMPHASIZES THE
MATHEMATICS BEHIND THE THEORY OF PUBLIC KEY CRYPTOSYSTEMS AND DIGITAL
SIGNATURE SCHEMES. THE BOOK FOCUSES ON THESE KEY TOPICS WHILE DEVELOPING
THE MATHEMATICAL TOOLS NEEDED FOR THE CONSTRUCTION AND SECURITY ANALYSIS
OF DIVERSE CRYPTOSYSTEMS. ONLY BASIC LINEAR ALGEBRA IS REQUIRED OF THE
READER; TECHNIQUES FROM ALGEBRA, NUMBER THEORY, AND PROBABILITY ARE
INTRODUCED AND DEVELOPED AS REQUIRED. THIS TEXT PROVIDES AN IDEAL
INTRODUCTION FOR MATHEMATICS AND COMPUTER SCIENCE STUDENTS TO THE
MATHEMATICAL FOUNDATIONS OF MODERN CRYPTOGRAPHY. THE BOOK INCLUDES AN
EXTENSIVE BIBLIOGRAPHY AND INDEX; SUPPLEMENTARY MATERIALS ARE AVAILABLE
ONLINE. THE BOOK COVERS A VARIETY OF TOPICS THAT ARE CONSIDERED CENTRAL
TO MATHEMATICAL CRYPTOGRAPHY. KEY TOPICS INCLUDE: CLASSICAL
CRYPTOGRAPHIC CONSTRUCTIONS, SUCH AS DIFFIE–HELLMANN KEY EXCHANGE,
DISCRETE LOGARITHM-BASED CRYPTOSYSTEMS, THE RSA CRYPTOSYSTEM, AND
DIGITAL SIGNATURES; FUNDAMENTAL MATHEMATICAL TOOLS FOR CRYPTOGRAPHY,
INCLUDING PRIMALITY TESTING, FACTORIZATION ALGORITHMS, PROBABILITY
THEORY, INFORMATION THEORY, AND COLLISION ALGORITHMS; AN IN-DEPTH
TREATMENT OF IMPORTANT CRYPTOGRAPHIC INNOVATIONS, SUCH AS ELLIPTIC
CURVES, ELLIPTIC CURVE AND PAIRING-BASED CRYPTOGRAPHY, LATTICES,
LATTICE-BASED CRYPTOGRAPHY, AND THE NTRU CRYPTOSYSTEM. THE SECOND
EDITION OF AN INTRODUCTION TO MATHEMATICAL CRYPTOGRAPHY INCLUDES A
SIGNIFICANT REVISION OF THE MATERIAL ON DIGITAL SIGNATURES, INCLUDING AN
EARLIER INTRODUCTION TO RSA, ELGAMAL, AND DSA SIGNATURES, AND NEW
MATERIAL ON LATTICE-BASED SIGNATURES AND REJECTION SAMPLING. MANY
SECTIONS HAVE BEEN REWRITTEN OR EXPANDED FOR CLARITY, ESPECIALLY IN THE
CHAPTERS ON INFORMATION THEORY, ELLIPTIC CURVES, AND LATTICES, AND THE
CHAPTER OF ADDITIONAL TOPICS HAS BEEN EXPANDED TO INCLUDE SECTIONS ON
DIGITAL CASH AND HOMOMORPHIC ENCRYPTION.NUMEROUS NEW EXERCISES HAVE
BEEN INCLUDED
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Hoffstein, Jeffrey 1953- Pipher, Jill 1955- Silverman, Joseph H. 1955- |
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| author_facet | Hoffstein, Jeffrey 1953- Pipher, Jill 1955- Silverman, Joseph H. 1955- |
| author_role | aut aut aut |
| author_sort | Hoffstein, Jeffrey 1953- |
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| dewey-sort | 14 |
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| discipline | Informatik Mathematik |
| doi_str_mv | 10.1007/978-1-4939-1711-2 |
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| title | An introduction to mathematical cryptography |
| title_auth | An introduction to mathematical cryptography |
| title_exact_search | An introduction to mathematical cryptography |
| title_full | An introduction to mathematical cryptography Jeffrey Hoffstein ; Jill Pipher ; Joseph H. Silverman |
| title_fullStr | An introduction to mathematical cryptography Jeffrey Hoffstein ; Jill Pipher ; Joseph H. Silverman |
| title_full_unstemmed | An introduction to mathematical cryptography Jeffrey Hoffstein ; Jill Pipher ; Joseph H. Silverman |
| title_short | An introduction to mathematical cryptography |
| title_sort | an introduction to mathematical cryptography |
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| topic_facet | Kryptologie Lehrbuch |
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