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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > NATHAN GEIER:
All reports by Author Nathan Geier:

TR26-110 | 30th June 2026
Benny Applebaum, Nir Bitansky, Nathan Geier

Security Amplification via Robust Indistinguishability Combiners

A robust combiner for a cryptographic primitive $P$ takes multiple candidate constructions of $P$ and produces a secure construction of $P$ provided that sufficiently many of the candidates are secure. A closely related notion is that of a security amplifier, where given a weakly secure construction of $P$, we aim ... more >>>


TR21-140 | 27th September 2021
Nathan Geier

Tight Computational Indistinguishability Bound of Product Distributions

Assume that $X_0,X_1$ (respectively $Y_0,Y_1$) are $d_X$ (respectively $d_Y$) indistinguishable for circuits of a given size. It is well known that the product distributions $X_0Y_0,\,X_1Y_1$ are $d_X+d_Y$ indistinguishable for slightly smaller circuits. However, in probability theory where unbounded adversaries are considered through statistical distance, it is folklore knowledge that in ... more >>>




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