Elementary Cryptanalysis

By: Abraham Sinkov, Todd Feil (Translator)

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Hardcover | 6 August 2009 | Edition Number 2

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Originally published in the New Mathematical Library almost half a century ago, this charming book explains how to solve cryptograms based on elementary mathematical principles, starting with the Caesar cipher and building up to progressively more sophisticated substitution methods. Todd Feil has updated the book for the technological age by adding two new chapters covering RSA public-key cryptography, one-time pads, and pseudo-random-number generators.Exercises are given throughout the text that will help the reader understand the concepts and practice the techniques presented. Software to ease the drudgery of making the necessary calculations is made available. The book assumes minimal mathematical prerequisites and therefore explains from scratch such concepts as summation notation, matrix multiplication, and modular arithmetic. Even the mathematically sophisticated reader, however, will find some of the exercises challenging. (Answers to the exercises appear in an appendix.)

Industry Reviews

As a young mathematician, I learned how to make and break simple codes from Sinkov's beguiling introduction to cryptanalysis. In the intervening forty years there has been a revolution in cryptography, and it is fitting that for a modern edition of Sinkov's classic, Todd Feil has indicated the nature of this revolution by adding a lucid introduction to RSA public-key encryption and the number theory which underlies it. If you know a young code breaker who might become a young mathematician, buy her or him this book! Or buy it for yourself and try decoding those messages."" - Phil Straffin, Professor Emeritus of Mathematics and Computer Science at Beloit College

""Sinkov's Elementary Cryptanalysis is an eminently readable classic that introduces the reader to both the techniques and the spirit of cryptanalysis - the art and science of reading secret messages. Todd Feil has done a fine job of modernizing the language of the original. His chapters on RSA encryption and one-time pads give added value to the original, especially the very nice treatment of RSA that assumes almost no prior knowledge of number theory."" - Ezra Brown, Virginia Tech University

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Non-Fiction Reference, Information & Interdisciplinary Subjects Research & Information Coding Theory & Cryptology Mathematics Applied Mathematics Business & Management Business Communication & Presentation Computing & I.T.Computer Security Data Encryption

Monoalphabetic Ciphers
The Caesar cipher
Modular arithmetic
Additive alphabets
Solution of additive alphabets
Frequency considerations
Multiplications
Solution of multiplicative alphabets
Affine ciphers
General Substitution
Mixed alphabets
Solution of mixed alphabet ciphers
Solution of five-letter groupings
Monoalphabets with symbols
Polyalphabetic Substitution
Polyalphabetic ciphers
Recognition of polyalphabetic ciphers
Determination of number of alphabets
Solutions of additive subalphabets
Mixed plain sequences
Matching alphabets
Reduction to a monoalphabet
Mixed cipher sequences
General comments
Polygraphic Systems
Linear transformations
Multiplication of matrices - inverses
Involutory transformations
Recognition of digraphic ciphers
Solution of a linear transformation
How to make the Hill system more secure
Transposition
Columnar transposition
Completely filled rectangles
Incompletely filled rectangles
Probable word method
General case
Identical length messages
RSA Encryption
Public-key encryption
The RSA method
Creating the RSA keys
Why RSA works - Fermat's Little Theorem
Computational considerations
Maple and Mathematica for RSA
Breaking RSA and signatures
Perfect Security - One-Time Pads
One-time pads
Pseudo-random number generators
Tables
ASCII codes
Binary numbers
Solutions to exercises
Further readings
Index
Table of Contents provided by Publisher. All Rights Reserved.

Elementary Cryptanalysis

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