The Resource An introduction to mathematical cryptography, Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
An introduction to mathematical cryptography, Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Resource Information
The item An introduction to mathematical cryptography, Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item An introduction to mathematical cryptography, Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This selfcontained 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 logarithmbased 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 indepth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairingbased cryptography, lattices, latticebased 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 latticebased 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
 Language
 eng
 Edition
 Second edition.
 Extent
 1 online resource (xvii, 538 pages)
 Contents

 Preface
 Introduction
 1 An Introduction to Cryptography
 2 Discrete Logarithms and DiffieHellman
 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
 Isbn
 9781493917105
 Label
 An introduction to mathematical cryptography
 Title
 An introduction to mathematical cryptography
 Statement of responsibility
 Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
 Subject

 Data Encryption
 Data Structures, Cryptology and Information Theory
 Information and Communication, Circuits
 Mathematics
 Number Theory
 Order, Lattices, Ordered Algebraic Structures
 Physical Sciences & Mathematics
 Algebra
 Cryptography  Mathematics
 Cryptography  Mathematics
 Cryptography  Mathematics
 Language
 eng
 Summary
 This selfcontained 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 logarithmbased 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 indepth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairingbased cryptography, lattices, latticebased 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 latticebased 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
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Hoffstein, Jeffrey
 Dewey number
 652.80151
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA268
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate

 1955
 1955
 http://library.link/vocab/relatedWorkOrContributorName

 Pipher, Jill Catherine
 Silverman, Joseph H.
 Series statement
 Undergraduate texts in mathematics
 http://library.link/vocab/subjectName

 Cryptography
 Mathematics
 Physical Sciences & Mathematics
 Algebra
 Mathematics
 Number Theory
 Data Structures, Cryptology and Information Theory
 Data Encryption
 Information and Communication, Circuits
 Order, Lattices, Ordered Algebraic Structures
 Cryptography
 Label
 An introduction to mathematical cryptography, Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  Introduction  1 An Introduction to Cryptography  2 Discrete Logarithms and DiffieHellman  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
 Control code
 890693282
 Dimensions
 unknown
 Edition
 Second edition.
 Extent
 1 online resource (xvii, 538 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781493917105
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781493917112
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)890693282
 Label
 An introduction to mathematical cryptography, Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  Introduction  1 An Introduction to Cryptography  2 Discrete Logarithms and DiffieHellman  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
 Control code
 890693282
 Dimensions
 unknown
 Edition
 Second edition.
 Extent
 1 online resource (xvii, 538 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781493917105
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781493917112
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)890693282
Subject
 Data Encryption
 Data Structures, Cryptology and Information Theory
 Information and Communication, Circuits
 Mathematics
 Number Theory
 Order, Lattices, Ordered Algebraic Structures
 Physical Sciences & Mathematics
 Algebra
 Cryptography  Mathematics
 Cryptography  Mathematics
 Cryptography  Mathematics
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Anintroductiontomathematicalcryptography/JfYnZIzpgfM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Anintroductiontomathematicalcryptography/JfYnZIzpgfM/">An introduction to mathematical cryptography, Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>