The Resource An Introduction to Mathematical Cryptography, by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman, (electronic resource)
An Introduction to Mathematical Cryptography, by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman, (electronic resource)
Resource Information
The item An Introduction to Mathematical Cryptography, by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item An Introduction to Mathematical Cryptography, by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
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 DiffieHellmann 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
 2nd ed. 2014.
 Extent
 XVII, 538 p. 32 illus.
 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
 9781493917112
 Label
 An Introduction to Mathematical Cryptography
 Title
 An Introduction to Mathematical Cryptography
 Statement of responsibility
 by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
 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 DiffieHellmann 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
 http://library.link/vocab/creatorName
 Hoffstein, Jeffrey
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Pipher, Jill.
 Silverman, Joseph H.
 SpringerLink (Online service)
 Series statement
 Undergraduate Texts in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Data structures (Computer science)
 Data encryption (Computer science)
 Algebra
 Ordered algebraic structures
 Information theory
 Number theory
 Label
 An Introduction to Mathematical Cryptography, by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 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
 9781493917112
 Dimensions
 unknown
 Edition
 2nd ed. 2014.
 Extent
 XVII, 538 p. 32 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9781493917112
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9781493917112
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086543110
 Label
 An Introduction to Mathematical Cryptography, by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 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
 9781493917112
 Dimensions
 unknown
 Edition
 2nd ed. 2014.
 Extent
 XVII, 538 p. 32 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9781493917112
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9781493917112
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086543110
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/AnIntroductiontoMathematicalCryptographyby/KuGE0zxaMFk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/AnIntroductiontoMathematicalCryptographyby/KuGE0zxaMFk/">An Introduction to Mathematical Cryptography, by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>