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Cryptographic Boolean Functions and Applications, by Thomas W. Cusick, Pantelimon Stanica
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Boolean functions are the building blocks of symmetric cryptographic systems. Symmetrical cryptographic algorithms are fundamental tools in the design of all types of digital security systems (i.e. communications, financial and e-commerce).
Cryptographic Boolean Functions and Applications is a concise reference that shows how Boolean functions are used in cryptography. Currently, practitioners who need to apply Boolean functions in the design of cryptographic algorithms and protocols need to patch together needed information from a variety of resources (books, journal articles and other sources). This book compiles the key essential information in one easy to use, step-by-step reference.
Beginning with the basics of the necessary theory the book goes on to examine more technical topics, some of which are at the frontier of current research.
-Serves as a complete resource for the successful design or implementation of cryptographic algorithms or protocols using Boolean functions
-Provides engineers and scientists with a needed reference for the use of Boolean functions in cryptography
-Addresses the issues of cryptographic Boolean functions theory and applications in one concentrated resource.
-Organized logically to help the reader easily understand the topic
- Sales Rank: #2387707 in eBooks
- Published on: 2009-03-04
- Released on: 2009-03-04
- Format: Kindle eBook
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.
Pantelimon Stanica has more than 15 years of experience in the area of cryptography and Boolean functions, more than 35 papers in this subject and 3 Ph.D. students working in the area. He is currently located at the Naval Postgraduate School in Monterey, California.
Most helpful customer reviews
0 of 0 people found the following review helpful.
Excellent introduction to cryptographic Boolean functionse
By MSF
An excellent introduction to cryptographic Boolean functions. The book is
well-written for the student and provides a number of interesting references for researchers.
However, there is substantial gulf between bent functions, propagation criteria and cryptographic primitives used in practice. In the next edition, I would like to see more coverage of NIST approved primitives in terms of the propagation criteria. For example, what can one say about SHA-512 on the subdomain of
{0, 1}^{512} ---> {0, 1}
where the output is kth bit -- 0 < k < 513
-- of the SHA-512 hash. Another example is for a random 128-bit key, what is the degree k of the propagation criteria PC(k) of the component Boolean functions that compose AES-128. How close is k to 128?
How much does PC(k) increase as the number of rounds increases?
What about uniformity as the key ranges over {0, 1}^{128}?
What is the maximum reached? We know that for AES-128 that a fixed key implies this AES-128 Boolean function is
at most in PC(128) but no analysis is even provided that it is even in PC(1).
These are important practical questions that are not considered in this book.
2 of 5 people found the following review helpful.
Cryptographic Boolean Functions
By Math person
This technical book gives a comprehensive introduction to the
theory of Boolean functions, as applied to cryptography. It
is of interest to grad students, software designers and people
in industry who deal with cryptography and data protection. The
book assumes extensive knowledge of undergraduate mathematics.
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