System architecture and method of processing data therein

Abstract

A method of performing ordered statistics between at least two parties is disclosed which includes identifying a first dataset (x) by a first node (A), identifying a second dataset (x) by a second node (B), wherein xis unknown to A and xis unknown to B, and wherein A is in communication with B, and wherein A and B are in communication with a server (S), A and B each additively splitting each member of their respective datasets into corresponding shares, sharing the corresponding shares with one another, arranging the corresponding shares according to a mutually agreed predetermined order into corresponding ordered shares, shuffling the ordered shares into shuffled shares, re-splitting the shuffled shares into re-split shuffled shares, and performing an ordered statistical operation on the re-split shuffled shares, wherein the steps of shuffle and re-split is based on additions, subtractions but not multiplication and division.