Coverart for item
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)

Label
An Introduction to Mathematical Cryptography
Title
An Introduction to Mathematical Cryptography
Statement of responsibility
by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
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)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4939-1711-2
Instantiates
Publication
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 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
Control code
978-1-4939-1711-2
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, non-commercial 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
10.1007/978-1-4939-1711-2
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)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4939-1711-2
Publication
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 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
Control code
978-1-4939-1711-2
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, non-commercial 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
10.1007/978-1-4939-1711-2
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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