Holdings: An introduction to mathematical cryptography

An introduction to mathematical cryptography:

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Bibliographic Details
Main Authors:	Hoffstein, Jeffrey 1953- (Author), Pipher, Jill 1955- (Author), Silverman, Joseph H. 1955- (Author)
Format:	Electronic eBook
Language:	English
Published:	New York, NY [u.a.] Springer 2014
Edition:	2. ed.
Series:	Undergraduate texts in mathematics
Subjects:	Kryptologie Electronic book text Lehrbuch
Online Access:	DE-634 DE-898 DE-861 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource
ISBN:	9781493917105 9781493917112
DOI:	10.1007/978-1-4939-1711-2

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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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spelling	Hoffstein, Jeffrey 1953- Verfasser (DE-588)1029472769 aut An introduction to mathematical cryptography Jeffrey Hoffstein ; Jill Pipher ; Joseph H. Silverman 2. ed. New York, NY [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Undergraduate texts in mathematics Kryptologie (DE-588)4033329-2 gnd rswk-swf Electronic book text (DE-588)4123623-3 Lehrbuch gnd-content Kryptologie (DE-588)4033329-2 s DE-604 Pipher, Jill 1955- Verfasser (DE-588)1029472998 aut Silverman, Joseph H. 1955- Verfasser (DE-588)118906933 aut https://doi.org/10.1007/978-1-4939-1711-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027555224&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027555224&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
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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
topic	Kryptologie (DE-588)4033329-2 gnd
topic_facet	Kryptologie Lehrbuch
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