Introduction to Cryptography with Maple / by José Luis Gómez Pardo.

Format:

Book

Author/Creator:

Gómez Pardo, José Luis, author.

Contributor:

SpringerLink (Online service)

Series:

Computer Science (Springer-11645)

Language:

English

Subjects (All):

Data structures (Computer science).

Number theory.

Software engineering.

Algebra.

Data Structures and Information Theory.

Number Theory.

Software Engineering/Programming and Operating Systems.

Local Subjects:

Data Structures and Information Theory.

Number Theory.

Software Engineering/Programming and Operating Systems.

Algebra.

Physical Description:

1 online resource (XXX, 706 pages)

Edition:

First edition 2013.

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.

System Details:

text file PDF

Summary:

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. .

Contents:

Preface

Introduction

Chap. 1 Classical Ciphers

Chap. 2 Basic Concepts

Chap. 3 Private-Key Encryption

Chap. 4 Block Ciphers and Modes of Operation

Chap. 5 Message Authentication

Chap. 6 Algorithmic Number - Theory for Cryptography

Chap. 7 Introduction to Public-Key Cryptography

Chap. 8 Public-Key Encryption

Chap. 9 Digital Signatures

Chap. 10 Identity-Based Cryptography

Chap. 11 Elliptic Curve Cryptography

App. A Some Maple Conversion Functions

Acronyms

References

Index.

Other Format:

Printed edition:

ISBN:

978-3-642-32166-5

9783642321665

Access Restriction:

Restricted for use by site license.