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We introduce the idea of associating a set of elements with a rational function represented using a reversed Laurent series . Using this representation, we propose private set-union protocols in the multi-party setting, assuming an honest majority. Our protocols are the first efficient protocol for private set union with constant round complexity (in both the semi-honest and malicious settings), as well as the first with statistical security (in the semi-honest setting).

Constant-Round Multi-party Private Set Union Using Reversed Laurent Series