On Unconditionally Secure Distributed Oblivious Transfer.

This paper is about the Oblivious Transfer in the distributed model proposed by M. Naor and B. Pinkas. In this setting a Sender has n secrets and a Receiver is interested in one of them. During a set up phase, the Sender gives information about the secrets to m Servers. Afterwards, in a recovering phase, the Receiver can compute the secret she wishes by interacting with any k of them. More precisely, from the answers received she computes the secret in which she is interested but she gets no information on the others and, at the same time, any coalition of k − 1 Servers can neither compute any secret nor figure out which one the Receiver has recovered. We present an analysis and new results holding for this model: lower bounds on the resources required to implement such a scheme (i.e., randomness, memory storage, communication complexity); some impossibility results for one-round distributed oblivi- ous transfer protocols; two polynomial-based constructions implementing 1-out-of-n dis- tributed oblivious transfer, which generalize and strengthen the two constructions for 1-out-of-2 given by Naor and Pinkas; as well as new one-round and two-round distributed oblivious transfer protocols, both for threshold and general access structures on the set of Servers, which are optimal with respect to some of the given bounds. Most of these constructions are basically combinatorial in nature

Communication-efficient distributed oblivious transfer

AbstractDistributed oblivious transfer (DOT) was introduced by Naor and Pinkas (2000) [31], and then generalized to (k,ℓ)-DOT-(n1) by Blundo et al. (2007) [8] and Nikov et al. (2002) [34]. In the generalized setting, a (k,ℓ)-DOT-(n1) allows a sender to communicate one of n secrets to a receiver with the help of ℓ servers. Specifically, the transfer task of the sender is distributed among ℓ servers and the receiver interacts with k out of the ℓ servers in order to retrieve the secret he is interested in. The DOT protocols we consider in this work are information-theoretically secure. The known (k,ℓ)-DOT-(n1) protocols require linear (in n) communication complexity between the receiver and servers. In this paper, we construct (k,ℓ)-DOT-(n1) protocols which only require sublinear (in n) communication complexity between the receiver and servers. Our constructions are based on information-theoretic private information retrieval. In particular, we obtain both a specific reduction from (k,ℓ)-DOT-(n1) to polynomial interpolation-based information-theoretic private information retrieval and a general reduction from (k,ℓ)-DOT-(n1) to any information-theoretic private information retrieval. The specific reduction yields (t,τ)-private (k,ℓ)-DOT-(n1) protocols of communication complexity O(n1/⌊(k−τ−1)/t⌋) between a semi-honest receiver and servers for any integers t and τ such that 1⩽t⩽k−1 and 0⩽τ⩽k−1−t. The general reduction yields (t,τ)-private (k,ℓ)-DOT-(n1) protocols which are as communication-efficient as the underlying private information retrieval protocols for any integers t and τ such that 1⩽t⩽k−2 and 0⩽τ⩽k−1−t

Efficient k-out-ofn oblivious transfer schemes,”

Abstract: Oblivious transfer is an important cryptographic protocol in various security applications. For example, in on-line transactions, a k-out-of-n oblivious transfer scheme allows a buyer to privately choose k out of n digital goods from a merchant without learning information about other n−k goods. In this paper, we propose several efficient two-round k-out-of-n oblivious transfer schemes, in which the receiver R sends O(k) messages to the sender S, and S sends O(n) messages back to R. The schemes provide unconditional security for either sender or receiver. The computational security for the other side is based on the Decisional Diffie-Hellman (DDH) or Chosen-Target Computational Diffie-Hellman (CT-CDH) problems. Our schemes have the nice property of universal parameters, that is, each pair of R and S need not hold any secret before performing the protocol. The system parameters can be used by all senders and receivers without any trapdoor specification. In some cases, our OT k n schemes are the most efficient ones in terms of the communication cost, either in rounds or the number of messages. Moreover, one of our schemes is extended to an adaptive oblivious transfer scheme. In that scheme, S sends O(n) messages to R in one round in the commitment phase

On Unconditionally Secure Distributed Oblivious Transfer

This work is about distributed protocols for oblivious transfer, proposed by Naor and Pinkas, and recently generalized by Blundo et. al. In this settings a Sender has n secrets and a Receiver is interested in one of them. The Sender distributes the information about the secrets to m servers, and a Receiver must contact a threshold of the servers in order to compute the secret. These distributed oblivious transfer protocols provide information theoretic security. We present impossibility result and lower bound for existence of one-round threshold distributed oblivious transfer protocols, generalizing the results of Blundo et. al. A threshold based construction implementing 1-out-of-n distributed oblivious transfer achieving the proved lower bound for existence is proposed.

On unconditionally secure distributed oblivious transfer

This work is about distributed protocols for oblivious transfer, proposed by Naor and Pinkas, and recently generalized by Blundo et. al. In this settings a Sender has n secrets and a Receiver is interested in one of them. The Sender distributes the information about the secrets to m servers, and a Receiver must contact a threshold of the servers in order to compute the secret. These distributed oblivious transfer protocols provide information theoretic security. We present impossibility result and lower bound for existence of one-round threshold distributed oblivious transfer protocols, generalizing the results of Blundo et. al. A threshold based construction implementing 1-out-of-n distributed oblivious transfer achieving the proved lower bound for existence is proposed. A condition for existence of general access structure distributed oblivious transfer scheme is proven. We also present a general access structure protocol implementing 1-out-of-n distributed oblivious transfer

Sécurité dans les réseaux mobiles de nouvelle génération

RÉSUMÉ Les réseaux de nouvelle génération visent à converger les réseaux fixes et mobiles hétérogènes afin d’offrir tous les services à travers un réseau coeur tout IP. Faisant parti du réseau d’accès mobile, un des principaux objectifs du réseau 4G est de permettre une relève ininterrompue entre les réseaux cellulaires et WIFI pour ainsi favoriser l’apprivoisement de services vidéo mobiles exigeant des critères de qualité de service très stricts à moindres coûts. Cependant, l’uniformisation du trafic au niveau de la couche réseau favorise sa centralisation à travers un réseau coeur IP partagé par tous les opérateurs, la rendant ainsi comme une cible vulnérable de choix pour les pirates informatiques. La conception de solutions sécuritaires dans un environnement où les entités ne se connaissent pas à priori s’annonce comme une tâche très ardue. La thèse se penche sur quatre problématiques importantes dans les réseaux de nouvelle génération dont chacune est traitée dans un article distinct. Les deux premiers articles touchent à la sécurité dans un contexte décentralisé, à savoir les réseaux mobiles ad hoc (MANETs), alors que les deux derniers proposent des mécanismes innovateurs pour sécuriser des solutions visant à réduire la consommation de bande passante et d’énergie, en conformité avec le virage vert informatique promu par les opérateurs réseautiques. Plus précisément, le troisième article traite de la sécurisation des flots multicast dans un environnement à haut taux de perte de paquet et le dernier propose une solution d’optimisation de route sécuritaire pour mobile IPv6 (MIPv6) utilisant une version améliorée de l’algorithme de genération d’adresses cryptographiques (CGA) et les extensions de sécurité du système de nom de domaine (DNSSEC). Les systèmes de détection d’intrusion (IDS) pour les MANETs basés sur la réputation des noeuds classifient les participants du réseau selon leur degré de confiance. Cependant, ils partagent tous une vulnérabilité commune : l’impossibilité de détecter et de réagir aux attaques complices. Le premier article propose un IDS qui intègre efficacement le risque de collusion entre deux ou plusieurs noeuds malveillants dans le calcul de la fiabilité d’un chemin. L’algorithme propos´e ne se limite pas qu’au nombre et à la réputation des noeuds intermédiaires formant un chemin, mais intègre également d’autres informations pertinentes sur les voisins des noeuds intermédiaires d’un chemin pouvant superviser le message original et celui retransmis. Le IDS proposé détecte efficacement les noeuds malicieux et complices dans le but de les isoler rapidement du réseau. Les simulations lancées dans divers environnements MANETs contenant une proportion variable d’attaquants complices montrent bien l’efficacité du IDS proposée en offrant un gain en débit considérable comparativement aux solutions existantes. À l’instar de prévenir les comportements égoïstes des noeuds par la menace d’être privés de certaines fonctions, voire même isolés du réseau, due à une baisse de réputation, le second article opte pour un incitatif non-punitif en la monnaie virtuelle plus communément appelée nuglets. Plus précisément, l’article présente un cadre de travail issu de la théorie des jeux basé sur la compétition de Bertrand pour inciter les noeuds intermédiaires à retransmettre les messages selon les requis de QoS demandés par la source. Pour qu’un noeud source envoie ou accède à un flot sensible à la QoS comme par exemple les applications en temps réel, il débute par envoyer un contrat qui spécifie les critères de QoS, sa durée et son prix de réserve. Sur réception du contrat, les noeuds intermédiaires formant une route entre la source et la destination partagent les informations sur eux-mêmes et celles recueillies sur les noeuds voisins, anciens et courants pour estimer la probabilité de bris de contrat ainsi que le nombre de compétiteurs actifs. Ces deux paramètres sont cruciaux dans le processus de fixation des prix. Une fois les réponses de route recueillies, la source choisit la route la moins chère. Le cadre de travail multijoueur proposé, basé sur la compétition de Bertrand avec des firmes asymétriques et ayant accès à de l’information imparfaite, possède un équilibre de Nash en stratégies mixtes dans lequel le profit des firmes est positif et baisse non seulement avec le nombre de compétiteurs, mais aussi avec l’impression d’une précision accrue que les compétiteurs ont sur le coût de production du joueur. Les résultats montrent que l’incertitude sur les coûts augmente le taux de la marge brute et la fluctuation des prix tout en diminuant les chances d’honorer le contrat. Dans un autre ordre d’idée, l’intérêt sans cesse grandissant des opérateurs à converger les réseaux fixes et mobiles dans le but d’offrir une relève sans interruption favorise l’utilisation des applications vidéo mobiles qui surchargeront rapidement leurs réseaux. Dans un contexte du virage vert qui prend de plus en plus d’ampleur dans le domaine des télécommunications, la transmission des flots en multidiffusion (multicast) devient essentiel dans le but de réduire la consommation de bande passante et la congestion du réseau en rejoignant simultanément plusieurs destinataires. La sécurisation des flots en multidiffusion a été largement étudiée dans la littérature antérieure, cependant aucune des solutions proposées ne tient compte des contraintes imposées par les liaisons sans fil et la mobilité des noeuds, en particulier le haut taux de perte de paquets. La nécessité d’un mécanisme de distribution de clés régénératrices efficace et pouvant supporter un grand bassin d’abonnés pour les réseaux mobiles n’aura jamais été aussi urgent avec l’arrivée de la convergence fixe-mobile dans les réseaux 4G. Le troisième article présente deux algorithmes de clés régénératrices basés sur les chaînes de hachage bidirectionnelles pour le protocole de distribution de clés logical key hierarchy (LKH). Ainsi, un membre ayant perdu jusqu’à un certain nombre de clés de déchiffrement consécutives pourrait lui-même les régénérer sans faire la requête de retransmission au serveur de clés. Les simulations effectuées montrent que les algorithmes proposés offrent des améliorations considérables dans un environnement de réseau mobile à taux de perte de paquet, notamment dans le percentage de messages déchiffrés. Le souci d’efficacité énergétique est également présent pour les opérateurs de réseaux cellulaires. D’ailleurs, près de la moitié des abonnements sur Internet proviennent présentement d’unités mobiles et il est attendu que ce groupe d’utilisateurs deviennent le plus grand bassin d’usagers sur Internet dans la prochaine décennie. Pour supporter cette croissance rapide du nombre d’utilisateurs mobiles, le choix le plus naturel pour les opérateurs serait de remplacer mobile IPv4 par MIPv6. Or, la fonction d’optimisation de route (RO), qui remplace le routage triangulaire inefficace de MIP en permettant au noeud mobile (MN) une communication bidirectionnelle avec le noeud correspondant (CN) sans faire passer les messages à travers l’agent du réseau mère (HA), est déficiente au niveau de la sécurité. L’absence d’informations pré-partagées entre le MN et le CN rend la sécurisation du RO un défi de taille. MIPv6 adopte la routabilité de retour (RR) qui est davantage un mécanisme qui vérifie l’accessibilité du MN sur son adresse du réseau mère (HoA) et du réseau visité (CoA) plutôt qu’une fonction de sécurité. D’autres travaux se sont attaqués aux nombreuses failles de sécurité du RR, mais soit leur conception est fautive, soit leurs suppositions sont irréalistes. Le quatrième article présente une version améliorée de l’algorithme de génération cryptographique d’adresse (ECGA) pour MIPv6 qui intègre une chaîne de hachage arrière et offre de lier plusieurs adresses CGA ensemble. ECGA élimine les attaques de compromis temps-mémoire tout en étant efficace. Ce mécanisme de génération d’adresse fait parti du protocole Secure MIPv6 (SMIPv6) proposé avec un RO sécuritaire et efficace grâce à DNSSEC pour valider les CGAs qui proviennent d’un domaine de confiance et qui permet une authentification forte plutôt que l’invariance de source. Le vérificateur de protocoles cryptographiques dans le modèle formel AVISPA a été utilisé pour montrer qu’aucune faille de sécurité n’est présente tout en limitant au maximum les messages échangés dans le réseau d’accès. ----------ABSTRACT Next generation networks aim at offering all available services through an IP-core network by converging fixed-mobile heterogeneous networks. As part of the mobile access network, one of the main objectives of the 4G network is to provide seamless roaming with wireless local area networks and accommodating quality of service (QoS) specifications for digital video broadcasting systems. Such innovation aims expanding video-based digital services while reducing costs by normalizing the network layer through an all-IP architecture such as Internet. However, centralizing all traffic makes the shared core network a vulnerable target for attackers. Design security solutions in such an environment where entities a priori do not know each other represent a daunting task. This thesis tackles four important security issues in next generation networks each in distinct papers. The first two deal with security in decentralized mobile ad hoc networks (MANETs) while the last two focus on securing solutions aiming at reducing bandwidth and energy consumption, in line with the green shift promoted by network operators. More precisely, the third paper is about protecting multicast flows in a packet-loss environment and the last one proposes a secure route optimization function in mobile IPv6 (MIPv6) using an enhanced version of cryptographically generated address (CGA) and domain name service security extensions (DNSSEC). Most intrusion detection systems (IDS) for MANETs are based on reputation system which classifies nodes according to their degree of trust. However, existing IDS all share the same major weakness: the failure to detect and react on colluding attacks. The first paper proposes an IDS that integrates the colluding risk factor into the computation of the path reliability which considers the number and the reputation of nodes that can compare both the source message and the retransmitted one. Also, the extended architecture effectively detects malicious and colluding nodes in order to isolate them and protect the network. The simulations launched in various MANETs containing various proportions of malicious and colluding nodes show that the proposed solution offers a considerable throughput gain compared to current solutions. By effectively selecting the most reliable route and by promptly detecting colluding attacks, the number of lost messages is decreased, and therefore, offering more efficient transmissions. Instead of thwarting selfishness in MANETs by threatening nodes to limit their network functions, the second paper opts for a non-punishment incentive by compensating nodes for their service through the use of virtual money, more commonly known as nuglets. The last paper presents a game-theoretic framework based on Bertrand competition to incite relaying nodes in forwarding messages according to QoS requirements. For a source to send or access QoS-sensitive flows, such as real-time applications, it starts by sending a contract specifying the QoS requirements, its duration and a reservation price. Upon receiving a contract submission, intermediary nodes forming a route between the source and the destination share their current and past collected information on themselves and on surrounding nodes to estimate the probability of breaching the contract and the number of active competitors. Both parameters are crucial in setting a price. Once the source gets the responses from various routes, it selects the most cheapest one. This multiplayer winner-takes-all framework based on Bertrand competition with firms having asymmetric costs and access imperfect information has a mixed-strategy equilibrium in which industry profits are positive and decline not only with the number of firms having an estimated cost below the reservation price but also with the perception of a greater accuracy on a player’s cost that competitors have. In fact,results show that cost uncertainty increases firms’ gross margin rate and the prices fluctuation while making the contract honoring much riskier. On another topic, with the growing interest in converging fixed and mobile networks, mobile applications will require more and more resources from both the network and the mobile device. In a social-motivated context of shifting into green technologies, using multicast transmissions is essential because it lowers bandwidth consumption by simultaneously reaching a group of multiple recipients. Securing multicast flows has been extensively studied in the past, but none of the existing solutions were meant to handle the constraints imposed by mobile scenarios, in particular the high packet-loss rate. The need for a low overhead selfhealing rekeying mechanism that is scalable, reliable and suitable for mobile environments has never been more urgent than with the arrival of fixed-mobile convergence in 4G networks. The second paper presents two self-healing recovery schemes based on the dual directional hash chains for the logical key hierarchy rekeying protocol. This enables a member that has missed up to m consecutive key updates to recover the missing decryption keys without asking the group controller key server for retransmission. Conducted simulations show considerable improvements in the ratio of decrypted messages and in the rekey message overhead in high packet loss environments. The concern of energy efficiency is also present for mobile access network operators. In fact, nearly half of all Internet subscribers come from mobile units at the moment and it is expected to be the largest pool of Internet users by the next decade. The most obvious choice for mobile operators to support more users would be to replace Mobile IP for IPv4 with MIPv6. However, the Route Optimization (RO) function, which replaces the inefficient triangle routing by allowing a bidirectional communication between a mobile node (MN) and the corresponding node (CN) without passing through its home agent (HA), is not secure and has a high overhead. The lack of pre-shared information between the MN and the CN makes security in RO a difficult challenge. MIPv6 adopts the return routability (RR) mechanism which is more to verify the MN reachability in both its home address (HoA) and care-of address (CoA) than a security feature. Other works attempted to solve the multiple security issues in RR but either their design are flawed, or rely on unrealistic assumptions. The third paper presents an enhanced cryptographically generated address (ECGA) for MIPv6 that integrates a built-in backward key chain and offers support to bind multiple logically-linked CGAs together. ECGA tackles the time-memory tradeoff attacks while being very efficient. It is part of the proposed secure MIPv6 (SMIPv6) with secure and efficient RO which uses DNSSEC to validate CGAs from trusted domains and provide strong authentication rather than sender invariance. The AVISPA on-the-fly model checker (OFMC) tool has been used to show that the proposed solution has no security flaws while still being lightweight in signalling messages in the radio network

On Unconditionally Secure Distributed Oblivious Transfer ∗

This paper is about the Oblivious Transfer in the distributed model proposed by M. Naor and B. Pinkas. In this setting a Sender has n secrets and a Receiver is interested in one of them. During a set up phase, the Sender gives information about the secrets to m Servers. Afterwards, in a recovering phase, the Receiver can compute the secret she wishes by interacting with any k of them. More precisely, from the answers received she computes the secret in which she is interested but she gets no information on the others and, at the same time, any coalition of k − 1 Servers can neither compute any secret nor figure out which one the Receiver has recovered. We present an analysis and new results holding for this model: lower bounds on the resources required to implement such a scheme (i.e., randomness, memory storage, communication complexity); some impossibility results for one-round distributed oblivious transfer protocols; two polynomial-based constructions implementing 1-out-of-n distributed oblivious transfer, which generalize and strengthen the two constructions for 1-out-of-2 given by Naor and Pinkas; as well as new one-round and two-round distributed oblivious transfer protocols, both for threshold and general access structures on the set of Servers, which are optimal with respect to some of the given bounds. Most of these constructions are basically combinatorial in nature.

New results on unconditionally secure distributed oblivious transfer: (Extended abstract)

This paper is about the Oblivious Transfer in the distributed model recently proposed by M. Naor and B. Pinkas. In this setting a Sender has n secrets and a Receiver is interested in one of them. During a set up phase, the Sender gives information about the secrets to m servers. Afterwards, in a recovering phase, the receiver can compute the secret she wishes by interacting with k of them. More precisely, from the answers received she computes the secret in which she is interested but she gets no information on the others and, at the same time, any coalition of k - 1 servers can neither compute any secret nor figure out which one the receiver has recovered. We present an analysis and new results holding for this model: lower bounds on the resources required to implement such a scheme (i.e., randomness, memory storage, communication complexity); some impossibility results for one-round distributed oblivious transfer protocols; two polynomial-based constructions implementing 1-out-of-n distributed oblivious transfer, which generalize the two constructions for 1-out-of-2 given by Naor and Pinkas; as well as new one-round and two-round distributed oblivious transfer protocols, both for threshold and general access structures on the set of servers, which are optimal with respect to some of the given bounds. Most of these constructions are basically combinatorial in nature. © Springer-Verlag Berlin Heidelberg 2003