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 format(s): Postscript (PS) | Compressed Postscript (PS.GZ) | PDF | BibTeX Citation

Note: updated

Version: 20041212:163335 (All versions of this report)

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