Efficient Private Filtering and Aggregation for Weighted Set Intersection via Oblivious Encrypted Weight Transfer eprint.iacr.org
Million-scale private joins, apparently, now come with oblivious encrypted weight transfer and simulation security.
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01 02 Paper gives batched OT with O(λ√ℓ) communication, via Damgård-Jurik + trusted setup or power-DDH without one.