Private Multi-party Matrix Multiplication and Trust Computations - Archive ouverte HAL Access content directly
Conference Papers Year : 2016

Private Multi-party Matrix Multiplication and Trust Computations

Abstract

This paper deals with distributed matrix multiplication. Each player owns only one row of both matrices and wishes to learn about one distinct row of the product matrix, without revealing its input to the other players. We first improve on a weighted average protocol, in order to securely compute a dot-product with a quadratic volume of communications and linear number of rounds. We also propose a protocol with five communication rounds, using a Paillier-like underlying homomorphic public key cryptosystem, which is secure in the semi-honest model or secure with high probability in the malicious adversary model. Using ProVerif, a cryptographic protocol verification tool, we are able to check the security of the protocol and provide a countermeasure for each attack found by the tool. We also give a randomization method to avoid collusion attacks. As an application, we show that this protocol enables a distributed and secure evaluation of trust relationships in a network, for a large class of trust evaluation schemes.
Fichier principal
Vignette du fichier
matMulDistrib.pdf (217.73 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01344750 , version 1 (12-07-2016)
hal-01344750 , version 2 (14-09-2016)

Identifiers

Cite

Jean-Guillaume Dumas, Pascal Lafourcade, Jean-Baptiste Orfila, Maxime Puys. Private Multi-party Matrix Multiplication and Trust Computations. 13th International Conference on Security and Cryptography SECRYPT 16, Jul 2016, Lisbon, Portugal. pp.61-72, ⟨10.5220/0005957200610072⟩. ⟨hal-01344750v2⟩
1180 View
398 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More