Paper 2015/719

Consolidating masking schemes

Oscar Reparaz and Begül Bilgin and Svetla Nikova and Benedikt Gierlichs and Ingrid Verbauwhede

Abstract

In this paper we investigate relations between several masking schemes. We show that the Ishai--Sahai--Wagner private circuits construction is closely related to Threshold Implementations and the Trichina gate. The implications of this observation are manifold. We point out a higher-order weakness in higher-order Threshold Implementations, suggest a mitigation and provide new sharings that use a lower number of input shares.