Abstract
A necessary and sufficient condition on the Walsh-spectrum of a boolean function is given, which implies that this function fulfills the Strict Avalanche Criterion. This condition is shown to be fulfilled for a class of functions exhibiting simple spectral symmetries. Finally, an extended definition of the Strict Avalanche Criterion is proposed and the corresponding spectral characterization is derived.
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© 1990 Springer-Verlag Berlin Heidelberg
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Forrié, R. (1990). The Strict Avalanche Criterion: Spectral Properties of Boolean Functions and an Extended Definition. In: Goldwasser, S. (eds) Advances in Cryptology — CRYPTO’ 88. CRYPTO 1988. Lecture Notes in Computer Science, vol 403. Springer, New York, NY. https://doi.org/10.1007/0-387-34799-2_31
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DOI: https://doi.org/10.1007/0-387-34799-2_31
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