Cryptology ePrint Archive: Report 2004/259
On Boolean Functions with Generalized Cryptographic Properties
An Braeken, Ventzislav Nikov, Svetla Nikova, Bart Preneel
Abstract: By considering a new metric, we generalize cryptographic
properties of Boolean functions such as resiliency and propagation
characteristics. These new definitions result in a better understanding
of the properties of Boolean functions and provide a better insight in
the space defined by this metric. This approach leads to the
construction of ``hand-made'' Boolean functions, i.e., functions for
which the security with respect to some specific monotone sets of inputs
is considered, instead of the security with respect to all possible
monotone sets with the same cardinality, as in the usual definitions.
This approach has the advantage that some trade-offs between important
properties of Boolean functions can be relaxed.
Category / Keywords: secret-key cryptography / Boolean function, resiliency, propagation characteristics
Publication Info: Full version of paper that will appear in the Proceedings of Indocrypt '04, Springer LNCS, December 2004.
Date: received 8 Oct 2004, last revised 12 Dec 2004
Contact author: svetla nikova at esat kuleuven ac be
Available formats: Postscript (PS) | Compressed Postscript (PS.GZ) | PDF | BibTeX Citation
Version: 20041212:163335 (All versions of this report)
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