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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

Label
An introduction to mathematical cryptography
Title
An introduction to mathematical cryptography
Statement of responsibility
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
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
Instantiates
Publication
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 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
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
10.1007/978-1-4939-1711-2
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
Publication
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 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
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
10.1007/978-1-4939-1711-2
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)890693282

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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