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 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
- Language
- eng
- Edition
- Second edition.
- Extent
- 1 online resource (xvii, 538 pages)
- 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
- 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 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
- 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 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
- 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
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 fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/An-introduction-to-mathematical-cryptography/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/An-introduction-to-mathematical-cryptography/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>
