8485 articles  [version française]

inria-00492201, version 2

Computing in Social Networks

Andrei Giurgiu a12, Rachid Guerraoui () 12, Kévin Huguenin () b3, Anne-Marie Kermarrec () c3

N° RR-7295 (2010)

Abstract: This paper defines the problem of Scalable Secure Computing in a Social network: we call it the S3 problem. In short, nodes, directly reflecting on associated users, need to compute a function f : V -> U of their inputs in a scalable and secure way. Scalability means that the message and computational complexity of the distributed computation is at most O(sqrt(n) · polylog n). Security encompasses (1) accuracy and (2) privacy: accuracy holds when the distance from the output to the ideal result is negligible with respect to the maximum distance between any two possible results; privacy is characterized by how the information disclosed by the computation helps faulty nodes infer inputs of non-faulty nodes. We present AG-S3, a protocol that S3-computes a class of aggregation functions, that is that can be expressed as a commutative monoid operation on U: f(x1, . . . , xn) = x1\oplus ...\oplus xn, assuming the number of faulty participants is at most sqrt(n) / log^2(n). We then extend our results to Lipshitz continuous functions. Key to our protocol is a dedicated overlay structure that enables secret sharing and distributed verifications which leverage the social aspect of the network: nodes care about their reputation and do not want to be tagged as misbehaving.

  • a –  École Polytechnique Fédérale de Lausanne
  • b –  Université de Rennes I
  • c –  INRIA
  • 1:  Distributed Programming Laboratory (LPD)
  • École Polytechnique Fédérale de Lausanne
  • 2:  Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • École Polytechnique Fédérale de Lausanne
  • 3:  ASAP (INRIA - IRISA)
  • CNRS : UMR6074 – INRIA – Institut National des Sciences Appliquées (INSA) - Rennes – Université de Rennes 1
  • Domain : Computer Science/Distributed, Parallel, and Cluster Computing
  • Keywords : Social networks – Privacy – Scalability – Security – Accountability
  • Internal note : RR-7295
  • Available versions :  v1 (2010-06-15) v2 (2010-07-15)
 
  • inria-00492201, version 2
  • oai:hal.inria.fr:inria-00492201
  • From: 
  • Submitted on: Thursday, 15 July 2010 10:02:31
  • Updated on: Thursday, 15 July 2010 10:44:05