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Mathematical ciphers : from Caesar to RSA

Author: Anne L Young
Publisher: Providence, R.I. : American Mathematical Society, ©2006.
Series: Mathematical world, v. 25.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"A cipher is a scheme for creating coded messages for the secure exchange of information. Throughout history, many different coding schemes have been devised. One of the oldest and simplest mathematical systems was used by Julius Caesar. This is where Mathematical Ciphers begins. Building on that simple system, Young moves on to more complicated schemes, ultimately ending with the RSA cipher, which is used to  Read more...
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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Anne L Young
ISBN: 0821837303 9780821837306
OCLC Number: 69594052
Description: viii, 159 pages : illustrations ; 26 cm.
Contents: Preface --
ch. 1. Introduction --
ch. 2. Caesar cipher --
ch. 3. Terminology and results from number theory --
ch. 4. Modular arithmetic --
ch. 5. Describing the Caesar cipher mathematically --
ch. 6. Cryptanalysis for the Caesar cipher --
ch. 7. Multiplication cipher --
ch. 8. Cryptanalysis for the multiplication cipher --
ch. 9. Multiplication-shift cipher --
ch. 10. Cryptanalysis for the multiplication-shift cipher --
ch. 11. Non-mathematical substitution ciphers --
ch. 12. Preparing to generalize --
ch. 13. Finding inverses modulo n --
ch. 14. General multiplication-shift cipher --
ch. 15. Security of the general multiplication-shift cipher --
ch. 16. Introduction to the exponential cipher --
ch. 17. Deciphering the exponential cipher --
ch. 18. Cryptanalysis for the exponential cipher --
ch. 19. Mathematical basis for the exponential cipher --
ch. 20. Public key ciphers --
ch. 21. RSA cipher --
ch. 22. Signatures --
ch. 23. Security and implementation of the RSA cipher --
ch. 24. Computer programs --
ch. 25. Further reading --
ch. 26. Answers to selected exercises --
Index.
Series Title: Mathematical world, v. 25.
Responsibility: Anne L. Young.

Abstract:

A cipher is a scheme for creating coded messages for the secure exchange of information. This book develops various encryption schemes, and also introduces the reader to number theory. It places the  Read more...

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