Cryptography in Constant Parallel Time

By: Benny Applebaum

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Hardcover | 10 January 2014 | Edition Number 2011

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Hardcover
212 Pages

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24.2 x 16.2 x 1.6

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NC^Ofunctions are "simple" functions for which every bit of the output can be computed by reading a small number of bits of their input. The study of cryptography in NC^O attempts to construct cryptographic functions that achieve this strong notion of simplicity and simultaneously provide a high level of security. Such constructions are highly parallelizable and they can be realized by Boolean circuits of constant depth.

This book establishes, for the first time, the possibility of NC^Oimplementations for many basic cryptographic primitives such as one-way functions, pseudorandom generators, encryption schemes and digital signatures. It also addresses a wide variety of fundamental questions about cryptography in NC^O, and, in addition, explores the cryptographic strength of several interesting subclasses of NC^O. This includes simple forms of natural computation that can be performed by real-world dynamical systems in a constant number of steps. The author's related thesis was honorably mentioned (runner-up) for the ACM Dissertation Award in 2007, and this book includes some expanded sections and proofs, and notes on recent developments.

The book assumes only a minimal background in computational complexity and cryptography and is therefore suitable for graduate students or researchers in related areas who are interested in parallel cryptography. It also introduces general techniques and tools which are likely to interest experts in the area.

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Industry Reviews

From the book reviews:

"The book explores the minimal computational complexity of these cryptographic primitives necessary to keep them secure. ... This is an important book with groundbreaking results that will continue to influence research in this area for years to come. ... The ideal audience for this book comprises advanced graduate students or other researchers in the same field." (Burkhard Englert, Computing Reviews, August, 2014)

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