  We present a new circuit-based protocol for multi-party private set
intersection (PSI) that allows m parties to compute the intersection of their
datasets without revealing any additional information about the items outside
the intersection. Building upon the two-party Sort-Compare-Shuffle (SCS)
protocol, we seamlessly extend it to a multi-party setting. Demonstrating its
practicality through implementation, our protocol exhibits acceptable
performance. Specifically, with 7 parties, each possessing a set size of
2^{12}, our protocol completes in just 19 seconds. Moreover, circuit-based
protocols like ours have an advantage over using custom protocols to perform
more complex computation. We substantiate this advantage by incorporating a
module for calculating the Jaccard similarity metric of the private sets which
can be used in the application domain of network traffic analysis for anomaly
detection. This extension showcases the versatility of our protocol beyond set
intersection computations, demonstrating its efficacy in preserving privacy
while efficiently identifying abnormal patterns in network flow.
