Abstract
In this work we give a non-trivial upper bound on the spectral norm of various Boolean predicates of the Diffie-Hellman function. For instance, we consider every individual bit and arbitrary unbiased intervals. Combining the bound with recent results from complexity theory we can rule out the possibility that such a Boolean function can be represented by simple functions like depth-2 threshold circuits with a small number of gates.
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Kiltz, E. (2003). On the Representation of Boolean Predicates of the Diffie-Hellman Function. In: Alt, H., Habib, M. (eds) STACS 2003. STACS 2003. Lecture Notes in Computer Science, vol 2607. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36494-3_21
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DOI: https://doi.org/10.1007/3-540-36494-3_21
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