عنوان

Cryptology and error correction :

(Number (ISBN

3030154521

(Number (ISBN

303015453X

(Number (ISBN

9783030154523

(Number (ISBN

9783030154530

Erroneous ISBN

3030154513

Erroneous ISBN

9783030154516

Title Proper

Cryptology and error correction :

General Material Designation

[Book]

Other Title Information

an algebraic introduction and real-world applications /

First Statement of Responsibility

Lindsay N. Childs.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2019.

Specific Material Designation and Extent of Item

1 online resource (xiv, 351 pages) :

Other Physical Details

illustrations (some color)

Series Title

Springer undergraduate texts in mathematics and technology,

ISSN of Series

1867-5506

Text of Note

Includes bibliographical references and index.

Text of Note

Preface -- 1. Secure, Reliable Information -- 2. Modular Arithmetic -- 3. Linear Equations Modulo m -- 4. Unique Factorization in Z -- 5. Rings and Fields -- 6. Polynomials -- 7. Matrices and Hamming Codes -- 8. Orders and Euler's theorem -- 9. RSA Cryptography and Prime Numbers -- 10. Groups, Cosets, and Lagrange's theorem -- 11. Solving Systems of Congruences -- 12. Homomorphisms and Euler's Phi function -- 13. Cyclic Groups and Cryptography -- 14. Applications of Cosets -- 15. An Introduction to Reed-Solomon codes -- 16. Blum-Goldwasser Cryptography -- 17. Factoring by the Quadratic Sieve -- 18. Polynomials and Finite Fields -- 19. Reed-Solomon Codes II -- Bibliography.

0

Text of Note

This text presents a careful introduction to methods of cryptology and error correction in wide use throughout the world and the concepts of abstract algebra and number theory that are essential for understanding these methods. The objective is to provide a thorough understanding of RSA, Diffie-Hellman, and Blum-Goldwasser cryptosystems and Hamming and Reed-Solomon error correction: how they are constructed, how they are made to work efficiently, and also how they can be attacked. To reach that level of understanding requires and motivates many ideas found in a first course in abstract algebra-rings, fields, finite abelian groups, basic theory of numbers, computational number theory, homomorphisms, ideals, and cosets. Those who complete this book will have gained a solid mathematical foundation for more specialized applied courses on cryptology or error correction, and should also be well prepared, both in concepts and in motivation, to pursue more advanced study in algebra and number theory. This text is suitable for classroom or online use or for independent study. Aimed at students in mathematics, computer science, and engineering, the prerequisite includes one or two years of a standard calculus sequence. Ideally the reader will also take a concurrent course in linear algebra or elementary matrix theory. A solutions manual for the 400 exercises in the book is available to instructors who adopt the text for their course.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030154530

Title

Cryptology and error correction.

International Standard Book Number

9783030154516

Cryptography.

Error-correcting codes (Information theory)-- Mathematics.

Cryptography.

MAT002000

PBF

PBF

Number

Edition

Class number

Childs, Lindsay

Date of Transaction

20200823084508.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y