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Erschienen in:
1996 | OriginalPaper | Buchkapitel
GAC — the Criterion for Global Avalanche Characteristics of Cryptographic Functions
verfasst von : Xian-Mo Zhang, Yuliang Zheng
Erschienen in: J.UCS The Journal of Universal Computer Science
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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We show that some widely accepted criteria for cryptographic functions, including the strict avalanche criterion (SAC) and the propagation criterion, have various limitations in capturing properties of vital importance to cryptographic algorithms, and propose a new criterion called GAC to measure the global avalanche characteristics of cryptographic functions. We also introduce two indicators related to the new criterion, one forecasts the sum-of-squares while the other the absolute avalanche characteristics of a function. Lower and upper bounds on the two indicators are derived, and two methods are presented to construct cryptographic functions that achieve nearly optimal global avalanche characteristics.