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Circuit complexity is the study of resource-bounded circuits and the functions computed by such circuits.

7 votes
1 answer
361 views

Non-uniform hierarchy theorem for approximating functions

It is easy to show (by probabilistic argument) that there exist functions that require circuits of size $O(2^n/n)$. This, in turn, can be used to prove a non-deterministic hierarchy theorem showing (r …
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6 votes

Threshold Fully Homomorphic Cryptosystems

A new paper by Steven Myers, Mona Sergi, and Abhi Shelat on eprint, "Threshold Fully Homomorphic Encryption and Secure Computation", claims a threshold fully homomorphic encryption scheme. From their …
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11 votes
2 answers
417 views

Variants of direct product theorems

A direct product theorem, informally, says that computing $k$ instances of a function $f$ is harder than computing $f$ once. Typical direct product theorems (e.g., Yao's XOR Lemma) look at average-ca …
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