Stream Ciphers and Number Theory (Volume 55) (North-Holland Mathematical Library, Volume 55) - Hardcover

Cusick, T.W.; Ding, C.; Renvall, Ari R.

9780444828736: Stream Ciphers and Number Theory (Volume 55) (North-Holland Mathematical Library, Volume 55)

Hardcover

ISBN 10: 0444828737 ISBN 13: 9780444828736

Publisher: North-Holland, 1998

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This book is almost entirely concerned with stream ciphers, concentrating on a particular mathematical model for such ciphers which are called additive natural stream ciphers. These ciphers use a natural sequence generator to produce a periodic keystream. Full definitions of these concepts are given in Chapter 2.This book focuses on keystream sequences which can be analysed using number theory. It turns out that a great deal of information can be deducted about the cryptographic properties of many classes of sequences by applying the terminology and theorems of number theory. These connections can be explicitly made by describing three kinds of bridges between stream ciphering problems and number theory problems. A detailed summary of these ideas is given in the introductory Chapter 1.Many results in the book are new, and over seventy percent of these results described in this book are based on recent research results.

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Review

"...deals with many connections between stream ciphers and number theory covering topics like construction of generators, cryptographic properties of key streams such as linear complexity, pattern distribution, correlation properties and 2-adic complexity. The monograph gives a useful overview on the present stage of research, moreover it contains more than 30 open research problems."
-Willfried Meidl, in ZENTRALBLATT MATH

About the Author

Thomas Cusick has 25 years of experience in cryptography, 60 published papers in that subject and 8 Ph. D. students whose thesis work was in that area. He is currently located at the State University of New York in Buffalo, New York.

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