Abstract
We propose a one-round 1-out-of-n computationally-private information retrieval protocol for ℓ-bit strings with low-degree polylogarithmic receiver-computation, linear sender-computation and communication Θ(k
log2
n+ℓ
logn), where k is a possibly non-constant security parameter. The new protocol is receiver-private if the underlying length-flexible additively homomorphic public-key cryptosystem is IND-CPA secure. It can be transformed to a one-round computationally receiver-private and information-theoretically sender-private 1-out-of-n oblivious-transfer protocol for ℓ-bit strings, that has the same asymptotic communication and is private in the standard complexity-theoretic model.
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Lipmaa, H. (2005). An Oblivious Transfer Protocol with Log-Squared Communication. In: Zhou, J., Lopez, J., Deng, R.H., Bao, F. (eds) Information Security. ISC 2005. Lecture Notes in Computer Science, vol 3650. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11556992_23
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DOI: https://doi.org/10.1007/11556992_23
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