Non Interactive Secure Computation

Two-party secure computation in one message each way, and the communication overhead malicious security costs there.

Status Statement Tags
Degree-2 Statistical RE
Question 1.6 of the harvested paper, attributed there to Ishai-Kushilevitz and Applebaum-Ishai-Kushilevitz and described as open for almost 20 years. Degree-3 statistical encodings exist for every finite function; negative results are known for perfectly private degree 2. The harvested paper adds a new consequence, its Proposition 1.7. 4 open
Arithmetic CryptographyNon Interactive Secure ComputationRandomized Encodingscharacterizationbarrier (ai)
NISC Overhead from a PRG
The source poses this question and then answers the variant in which the pseudorandom generator is replaced by a random oracle, which leaves the question as posed unresolved. Each of the four relaxations – polylogarithmic overhead, correlated-abort security, extra rounds, or programmable OLE correlations – is already known. 4 open
Garbled CircuitsNon Interactive Secure Computationcharacterizationadaptation (ai)
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