I want to implement the ATV-FHE scheme as described by Adriana López-Alt, Eran Tromer, Vinod Vaikuntanathan: On-the-Fly Multiparty Computation on the Cloud via Multikey Fully Homomorphic Encryption (ePrint revised 2014, originally in Proceeding of STOC 2012); and based on it I want to compare homomorphically a vector of integers. Would this be a valuable application, something that is both new and useful ?
By new, I mean that the integer comparison I want to implement is for a multikey FHE. For FHE there are some very good implementations that deal with homomorphic integer comparison and sorting.