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CHINESE REMAINDER THEOREM
Applications in Computing, Coding, Cryptography
by C Ding (Turku Centre for Computer Science, Finland), D Pei (Chinese Academy of Science, Beijing) & A Salomaa (University of Turku, Finland)
Chinese Remainder Theorem, CRT, is one of the jewels of mathematics. It is a perfect combination of beauty and utility or, in the words of Horace, omne tulit punctum qui miscuit utile dulci. Known already for ages, CRT continues to present itself in new contexts and open vistas for new types of applications. So far, its usefulness has been obvious within the realm of "three C's". Computing was its original field of application, and continues to be important as regards various aspects of algorithmics and modular computations. Theory of codes and cryptography are two more recent fields of application.
This book tells about CRT, its background and philosophy, history, generalizations and, most importantly, its applications. The book is self-contained. This means that no factual knowledge is assumed on the part of the reader. We even provide brief tutorials on relevant subjects, algebra and information theory. However, some mathematical maturity is surely a prerequisite, as our presentation is at an advanced undergraduate or beginning graduate level. We have tried to make the exposition innovative, many of the individual results being new. We will return to this matter, as well as to the interdependence of the various parts of the book, at the end of the Introduction.
A special course about CRT can be based on the book. The individual chapters are largely independent and, consequently, the book can be used as supplementary material for courses in algorithmics, coding theory, cryptography or theory of computing. Of course, the book is also a reference for matters dealing with CRT.
Contents:
- Introduction and Philosophy
- Chinese Remainder Algorithm
- In Modular
Computations
- In Algorithmics
- In Bridging Computations
- In Coding Theory
- In Cryptography
- Tutorial in Information Theory
- Tutorial in Algebra
- List of Mathematical Symbols
- Bibliography
Readership: Postgraduate students, researchers and scientists of theoretical
foundations of computer science, numerical and computational methods.
"It is a good book about the basic principles of trellis decoding for block codes, existing open problems, some recent solutions, and different applications of this technique."
| 224pp |
Pub. date: Oct 1996 |
This is a Print On Demand title. We no longer stock the original but will recreate a copy for you. While all efforts are made to ensure that quality is the same as the original, there may be differences in some areas of the design and packaging.
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