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Bibliographische Detailangaben
Titel:An introduction to mathematical cryptography
Von: Jeffrey Hoffstein ; Jill Pipher ; Joseph H. Silverman
Person: Hoffstein, Jeffrey
1953-
Verfasser
aut
Pipher, Jill
Silverman, Joseph H.
1955-
Hauptverfassende: Hoffstein, Jeffrey 1953- (VerfasserIn), Pipher, Jill 1955- (VerfasserIn), Silverman, Joseph H. 1955- (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: New York, NY [u.a.] Springer 2014
Ausgabe:2. ed.
Schriftenreihe:Undergraduate texts in mathematics
Schlagworte:
Kryptologie
Electronic book text
Lehrbuch
Online-Zugang:https://doi.org/10.1007/978-1-4939-1711-2
https://doi.org/10.1007/978-1-4939-1711-2
https://doi.org/10.1007/978-1-4939-1711-2
https://doi.org/10.1007/978-1-4939-1711-2
https://doi.org/10.1007/978-1-4939-1711-2
https://doi.org/10.1007/978-1-4939-1711-2
https://doi.org/10.1007/978-1-4939-1711-2
https://doi.org/10.1007/978-1-4939-1711-2
https://doi.org/10.1007/978-1-4939-1711-2
https://doi.org/10.1007/978-1-4939-1711-2
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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.
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author Hoffstein, Jeffrey 1953-
Pipher, Jill 1955-
Silverman, Joseph H. 1955-
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spellingShingle Hoffstein, Jeffrey 1953-
Pipher, Jill 1955-
Silverman, Joseph H. 1955-
An introduction to mathematical cryptography
Kryptologie (DE-588)4033329-2 gnd
subject_GND (DE-588)4033329-2
(DE-588)4123623-3
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
topic Kryptologie (DE-588)4033329-2 gnd
topic_facet Kryptologie
Lehrbuch
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