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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)

Résumé : 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
  • Domaine : Informatique/Calcul parallèle, distribué et partagé
  • Mots-clés : Social networks – Privacy – Scalability – Security – Accountability
  • Référence interne : RR-7295
  • Versions disponibles :  v1 (15-06-2010) v2 (15-07-2010)
 
  • inria-00492201, version 2
  • oai:hal.inria.fr:inria-00492201
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  • Soumis le : Jeudi 15 Juillet 2010, 10:02:31
  • Dernière modification le : Jeudi 15 Juillet 2010, 10:44:05