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Secure multi-party computation provides a wide array of protocols formutually distrustful parties be able to securely evaluate functions of privateinputs. Within recent years, many such protocols have been proposedrepresenting a plethora of strategies to securely and efficiently handle suchcomputation. These protocols have become increasingly efficient, but theirperformance still is impractical in many settings. We propose new approaches tosome of these problems which are either more efficient than previous workswithin the same security models or offer better security guarantees withcomparable efficiency. The goals of this research are to improve efficiency andsecurity of secure multi-party protocols and explore the application of suchapproaches to novel threat scenarios. Some of the novel optimizations employedare dynamically switching domains of shared secrets, asymmetric computations,and advantageous functional transformations, among others. Specifically, thiswork presents a novel combination of Shamir and Additive secret sharing to beused in parallel which allows for the transformation of efficient protocolssecure against passive adversaries to be secure against active adversaries.From this set of primitives we propose the construction of a comparisonprotocol which can be implemented under that approach with a complexity whichis more efficient than other recent works for common domains of interest.Finally, we present a system which addresses a critical security threat for theprotection and obfuscation of information which may be of high consequence.

Combining Shamir & Additive Secret Sharing to Improve Efficiency of SMC Primitives Against Malicious Adversaries