Introduction to Cryptography with Maple

Authors: Gómez Pardo, José Luis

  • Employs a programming-oriented approach to study the most important cryptographic schemes and cryptanalytic attacks
  • Provides implementations of the algorithms and schemes and examples of realistic size
  • Suitable for advanced undergraduate and graduate students of computer science, engineering and mathematics, and is also a comprehensive reference for self-study by practitioners
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  • ISBN 978-3-642-32166-5
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Hardcover $79.95
price for USA
  • ISBN 978-3-642-32165-8
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  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
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  • ISBN 978-3-642-44621-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This introduction to cryptography employs a programming-oriented approach to study the most important cryptographic schemes in current use and the main cryptanalytic attacks against them. Discussion of the theoretical aspects, emphasizing precise security definitions based on methodological tools such as complexity and randomness, and of the mathematical aspects, with emphasis on number-theoretic algorithms and their applications to cryptography and cryptanalysis, is integrated with the programming approach, thus providing implementations of the algorithms and schemes as well as examples of realistic size. 

A distinctive feature of the author's approach is the use of Maple as a programming environment in which not just the cryptographic primitives but also the most important cryptographic schemes are implemented following the recommendations of standards bodies such as NIST, with many of the known cryptanalytic attacks implemented as well. The purpose of the Maple implementations is to let the reader experiment and learn, and for this reason the author includes numerous examples. The book discusses important recent subjects such as homomorphic encryption, identity-based cryptography and elliptic curve cryptography. The algorithms and schemes which are treated in detail and implemented in Maple include AES and modes of operation, CMAC, GCM/GMAC, SHA-256, HMAC, RSA, Rabin, Elgamal, Paillier, Cocks IBE, DSA and ECDSA. In addition, some recently introduced schemes enjoying strong security properties, such as RSA-OAEP, Rabin-SAEP, Cramer--Shoup, and PSS, are also discussed and implemented. On the cryptanalysis side, Maple implementations and examples are used to discuss many important algorithms, including birthday and man-in-the-middle attacks, integer factorization algorithms such as Pollard's rho and the quadratic sieve, and discrete log algorithms such as baby-step giant-step, Pollard's rho, Pohlig--Hellman and the index calculus method.

This textbook is suitable for advanced undergraduate and graduate students of computer science, engineering and mathematics, satisfying the requirements of various types of courses: a basic introductory course; a theoretically oriented course whose focus is on the precise definition of security concepts and on cryptographic schemes with reductionist security proofs; a practice-oriented course requiring little mathematical background and with an emphasis on applications; or a mathematically advanced course addressed to students with a stronger mathematical background. The main prerequisite is a basic knowledge of linear algebra and elementary calculus, and while some knowledge of probability and abstract algebra would be helpful, it is not essential because the book includes the necessary background from these subjects and, furthermore, explores the number-theoretic material in detail. The book is also a comprehensive reference and is suitable for self-study by practitioners and programmers.

About the authors

José Luis Gómez Pardo is a full professor of the Departamento de Alxebra, Facultade de Matematicas, Universidade de Santiago. He has taught undergraduate and graduate courses in cryptography to mathematics and computer science students.

Reviews

From the reviews:

“A valuable guide to the practical applications and intricate workings of modern cryptographic systems. … The work is most useful for those interested in the deep mechanics and mathematics of cryptosystems. … Pardo does an excellent job of considering the algorithmic properties and conversions required for practical use of each cryptosystem within the Maple environment. This is an important resource for those interested in learning how to apply and implement cryptosystems within Maple … . Summing Up: Highly recommended. Graduate students, researchers/faculty, and professionals/practitioners.” (T. D. Richardson, Choice, Vol. 50 (11), August, 2013)

“In this book, the authors make a significant contribution to the explanation of cryptographic algorithms using Maple code. … The book is well structured and easy to follow. It is a good self-study book for computer science or mathematics students, and for engineers who work in cryptography.” (Zheng Gong, Computing Reviews, May, 2013)


Table of contents (11 chapters)

  • Classical Ciphers and Their Cryptanalysis

    Gómez Pardo, José Luis

    Pages 1-33

  • Basic Concepts from Probability, Complexity, Algebra and Number Theory

    Gómez Pardo, José Luis

    Pages 35-129

  • Private-Key Encryption

    Gómez Pardo, José Luis

    Pages 131-179

  • Block Ciphers and Modes of Operation

    Gómez Pardo, José Luis

    Pages 181-230

  • Message Authentication

    Gómez Pardo, José Luis

    Pages 231-282

Buy this book

eBook $59.99
price for USA
  • ISBN 978-3-642-32166-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $79.95
price for USA
  • ISBN 978-3-642-32165-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
price for USA
  • ISBN 978-3-642-44621-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Cryptography with Maple
Authors
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-3-642-32166-5
DOI
10.1007/978-3-642-32166-5
Hardcover ISBN
978-3-642-32165-8
Softcover ISBN
978-3-642-44621-4
Edition Number
1
Number of Pages
XXX, 706
Topics