Finite Automata and Application to Cryptography

Finite Automata and Application to Cryptography mainly deals with the invertibility theory of finite automata and its application to cryptography. In addition, autonomous finite automata and Latin arrays, which are relative to the canonical form for one-key cryptosystems based on finite automata, are also discussed.

Finite automata are regarded as a natural model for ciphers. The Ra Rb transformation method is introduced to deal with the structure problem of such automata; then public key cryptosystems based on finite automata and a canonical form for one-key ciphers implementable by finite automata with bounded-error-propagation and without data expansion are proposed.

The book may be used as a reference for computer science and mathematics majors, including seniors and graduate students.

Renji Tao is a Professor at the Institute of Software, Chinese Academy of Sciences, Beijing.

• FAPKC
• Finite
• Latin array
• TUP
• cryptography
• cryptosystems
• digital signature
• finite automata
• invertibility theory
• mathematics

From the reviews:

"The present book treats an up-to-date subject from a mathematical point of view. … The entire work is presented at a high level and has a very good and well proved mathematical background … making the book a kind of a reference volume to applied mathematics in cryptography, coding theory and information security for students having basic knowledge and wanting a thorough account of this area, or for developers wanting to understand the mathematical background of the algorithms used in authentication systems." (Ion Iancu, Zentralblatt MATH, Vol. 1157, 2009)

"This is a most welcome and anticipated volume in the fields of automata and cryptography. … this book should be considered a major work on these topics and is a must read for anyone active in these fields. It is fortunate for the reader that the structure of this book is pedagogic in nature … . researchers will be most comfortable with the structure and format of individual chapters … . There is a collective exhaustive bibliography at the end of the book … ." (Michael Goldberg, ACM Computing Reviews, July, 2009)

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