An introduction to mathematical cryptography
Resource Information
The work An introduction to mathematical cryptography represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
An introduction to mathematical cryptography
Resource Information
The work An introduction to mathematical cryptography represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 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
 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
 Series statement
 Undergraduate texts in mathematics
Context
Context of An introduction to mathematical cryptographyWork of
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