Private Computation of Polynomials over Networks

Autor:	Hosseinalizadeh, Teimour, Turkmen, Fatih, Monshizadeh, Nima
Rok vydání:	2021
Předmět:	Computer Science - Cryptography and Security Electrical Engineering and Systems Science - Systems and Control Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	This study concentrates on preserving privacy in a network of agents where each agent seeks to evaluate a general polynomial function over the private values of her immediate neighbors. We provide an algorithm for the exact evaluation of such functions while preserving privacy of the involved agents. The solution is based on a reformulation of polynomials and adoption of two cryptographic primitives: Paillier as a Partially Homomorphic Encryption scheme and multiplicative-additive secret sharing. The provided algorithm is fully distributed, lightweight in communication, robust to dropout of agents, and can accommodate a wide class of functions. Moreover, system theoretic and secure multi-party conditions guaranteeing the privacy preservation of an agent's private values against a set of colluding agents are established. The theoretical developments are complemented by numerical investigations illustrating the accuracy of the algorithm and the resulting computational cost. Comment: 12 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2104.01369 Zobrazit plný text záznamu View this record from Arxiv