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Cryptographic Boolean Functions and Applications Hardcover – March 26, 2009

ISBN-13: 978-0123748904 ISBN-10: 0123748909 Edition: 1st
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Product Details

  • Hardcover: 240 pages
  • Publisher: Academic Press; 1 edition (March 26, 2009)
  • Language: English
  • ISBN-10: 0123748909
  • ISBN-13: 978-0123748904
  • Product Dimensions: 0.8 x 7.8 x 9.5 inches
  • Shipping Weight: 1.5 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #2,669,036 in Books (See Top 100 in Books)

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Format: Hardcover Verified Purchase
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.
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2 of 5 people found the following review helpful By Math person on March 12, 2011
Format: Hardcover
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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