Abstract. Distance (upper)-bounding (DUB) allows a verifier to know whether a proving party is located within a certain distance bound. DUB protocols have many applications in secure authentication and location based services. We consider the dual problem of distance lower bound-ing (DLB), where the prover proves it is outside a distance bound to the verifier. We motivate this problem through a number of application scenarios, and model security against distance fraud (DF), Man-in-the-Middle (MiM), and collusion fraud (CF) attacks. We prove impossibility of security against these attacks without making physical assumptions. We propose approaches to the construction of secure protocols under reasonable assumptions, and give detailed design of our DLB protocol and prove its security using the above model. This is the first treatment of the DLB problem in the untrusted prover setting, with a number of applications and raising new research questions. We discuss our results and propose directions for future research. 1
Abstract. Distance (upper)-bounding (DUB) allows a verifier to know whether a proving party is located within a certain distance bound. DUB protocols have many applications in secure authentication and location based services. We consider the dual problem of distance lower bound-ing (DLB), where the prover proves it is outside a distance bound to the verifier. We motivate this problem through a number of application scenarios, and model security against distance fraud (DF), Man-in-the-Middle (MiM), and collusion fraud (CF) attacks. We prove impossibility of security against these attacks without making physical assumptions. We propose approaches to the construction of secure protocols under reasonable assumptions, and give detailed design of our DLB protocol and prove its security using the above model. This is the first treatment of the DLB problem in the untrusted prover setting, with a number of applications and raising new research questions. We discuss our results and propose directions for future research. 1
Location (or distance) information of a device plays a significant role in current location-based systems. How to determine the location of a device or verify the location claims made by a device is challenging, as devices are untrusted and may have an incentive to claim a false location. In secure localization and positioning system, the trusted verifier(s) interact with the untrusted prover to determine its location or validate its location claim. In this thesis, we mainly focus on one of the prominent areas of such systems: distance bounding. Distance (upper) bounding (DUB) allows a verifier to verify whether a proving party is located within a certain distance bound. DUB protocols have many applications in secure authentication and location-based services. This thesis has two main contributions. The first is that we consider the dual problem of distance lower bounding (DLB), where the prover proves it is outside a distance bound from the verifier. We motivate this problem through a number of application scenarios and model security against distance fraud (DF), Man-in-the-Middle (MiM), and collusion fraud (CF) attacks. We prove impossibility of security against these attacks without making physical assumptions. We propose approaches to the construction of secure protocols under reasonable physical assumptions and give detailed design of a DLB protocol with security analysis using our proposed model. This is the first treatment of the DLB problem in the untrusted prover setting with a number of applications, raising new research directions and opportunities in location based services. We discuss our results and propose directions for future research. One of the main assumptions which DUB protocols rely on is that the time that the prover spends in receiving the challenge, processing, and sending the response is negligible compared to the propagation time of the signal between the prover and verifier. This strict requirement poses difficulties on the implementation of DUB protocols and limits the possible development of applications for distance bounding as well. The second contribution in this thesis is that we design a novel one-round DUB protocol that uses one-way transmission time to estimate the distance instead of round-trip time, so that the assumption of negligible processing time is not required any longer. In order to prove the security, we formalize the notion of time in a distributed environment with adversarial users. In this model, time is implemented by a trusted party broadcasting unpredictable timestamps at a high frequency. We show that the timestamp is proved to be fresh and unpredictable. We then extend the time model to formalize DUB protocols and define corresponding attacks. Finally, we prove the security of our proposed distance bounding protocol and discuss potential issues when implementing such protocol. Besides these two main contributions, we also have the following two contributions: (1) we identify and analyze a new attack: false rejection attack, which poses serious threat to proximity-based authentications that uses distance bounding protocol for proximity evaluation; (2) We investigate the feasibility of replay attack in context-based proximity authentication using real-world data.
We consider the problem of distance bounding verification (DBV), where a proving party claims a distance and a verifying party ensures that the prover is within the claimed distance. Current approaches to "secure" distance estimation use signal's time of flight, which requires the verifier to have an accurate clock. We study secure DBV using physical channel properties as an alternative to time measurement. We consider a signal propagation environment that attenuates signal as a function of distance, and then corrupts it by an additive noise. We consider three attacking scenarios against DBV, namely distance fraud (DFA), mafia fraud (MFA) and terrorist fraud (TFA) attacks. We show it is possible to construct efficient DBV protocols with DFA and MFA security, even against an unbounded adversary; on the other hand, it is impossible to design TFA-secure protocols without time measurement, even with a computationally-bounded adversary. We however provide a TFA-secure construction under the condition that the adversary's communication capability is limited to the bounded retrieval model (BRM). We use numerical analysis to examine the communication complexity of the introduced DBV protocols. We discuss our results and give directions for future research.
Quantum distance-bounding (QDB) protocols let a verifier check that a prover is both genuine and physically nearby. During a timed fast phase of quantum communication, the verifier measures round-trip times to obtain an upper bound on the prover's distance. For a uniform comparison, we isolate the fast phase and study one-round distance-fraud (DF) and mafia-fraud (MF) games. For discrete-variable QDB, we show that these games reduce to convex optimization problems and can therefore be solved exactly with semidefinite programming; each MF value comes with an explicit attack achieving it and a matching certificate that no attack does better. This contrasts with quantum position verification, where an attack is split between two separated parties, so its optimization is nonconvex and analyses rely on relaxations. In our MF game, the cooperating pair collapses to a single sequential strategy, which keeps the game convex and its exact value computable. Across the discrete-variable protocols we examine, the best one-round DF attack succeeds with the same probability (1/2) for every protocol, whereas MF clearly separates the protocols. For continuous-variable QDB, we report estimated attack success probabilities from a calibrated Gaussian attack model. The benchmark covers protocols whose fast phase itself authenticates the prover; designs that follow Brands and Chaum and instead bind the fast phase with a final authenticated message, like the earliest QDB proposal, fall outside it and are treated separately. Of the four protocols studied, two had no previously known one-round attack values, and we report the first ones; for the other two, we find MF attacks with higher success probability than previously reported. Overall, one-round MF resistance depends on whether an attacker can use information revealed early by the prover to answer a fresh challenge from the verifier.
We consider a distance bounding protocol that enables the verifying party to determine a practical upperbound on the physical distance to a proving party. This protocol can protect against so called “mafia frauds” in which a party identifies himself to a verifying party using the third party being aware of it. Another attack on distance bounding protocol is a falsification of real distance between parties by dishonest prover. To prevent both types of frauds the distance bounding protocol should contain Bit Commitment primitive. In this paper we develop the idea to achieve this primitive and hence a distance bounding protocol based on making noisy channels connecting parties. To solve this problem we derive the formulas to estimate security and reliability of bit commitment protocol and present an algorithm that optimizes the main parameters provided minimal complexity. An example is given to show that this protocol is indeed reliable and informationtheoretically secure. We also discuss the problem on how to establish a noisy channel connecting parties. Palabras claves: Fraudes mafiosos, protocolo de acotamiento de distancias, primitiva de compromiso por bits, canales con ruido, ampliacion de privacidad, codigos de correccion de errores.
Distance-bounding (DB) protocols let a verifier upper-bound a prover's physical distance by timing rapid challenge-response exchanges. Quantum communication promises simpler DB protocols with stronger security guarantees, yet existing quantum distance-bounding (QDB) proposals are analysed in ad-hoc models and, to the best of our knowledge, lack a common game-based treatment of standard fraud attacks. We contribute (i) a reusable security framework for QDB that fixes system and timing assumptions, specifies a quantum-capable adversary model, formalises distance-, mafia-, and terrorist-fraud experiments, and includes a simple i.i.d. depolarizing noise model; and (ii) an application of this framework to a published QDB protocol. For this protocol we characterise the honest per-round acceptance probability under noise and lift it to the multi-round setting, yielding explicit completeness guarantees as a function of the number of fast rounds, the acceptance threshold, and the noise parameter. For active adversaries we bound the per-round success probability of distance-fraud attacks and analyse the best known mafia-fraud strategy, deriving corresponding multi-round soundness bounds. We also show that the protocol is inherently insecure against terrorist-fraud in our model. The framework cleanly separates protocol-independent definitions from protocol-specific analysis and can be used to evaluate existing and future QDB protocols on a common basis.
In our daily lives, people or devices frequently need to learn their location for many reasons as some services depend on the absolute location or the proximity. The outcomes of positioning systems can have critical effects e.g., on military, emergency. Thus, the security of these systems is quite important. In this thesis, we concentrate on many security aspects of position in cryptography. The first part of this thesis focuses on the theory of distance bounding. A distance bounding protocol is a two-party authentication protocol between a prover and a verifier which considers the distance of the prover as a part of his/her credential. It aims to defeat threats by malicious provers who try to convince that they are closer to the verifier or adversaries which seek to impersonate a far-away prover. In this direction, we first study the optimal security bounds that a distance bounding protocol can achieve. We consider the optimal security bounds when we add some random delays in the distance computation and let the prover involve distance computation. Then, we focus on solving the efficiency problem of public-key distance bounding because the public-key cryptography requires much more computations than the symmetric-key cryptography. We construct two generic protocols (one without privacy, one with) which require fewer computations on the prover side compared to the existing protocols while keeping the highest security level. Then, we describe a new security model involving a tamper-resistant hardware. This model is called the secure hardware model (SHM). We define an all-in-one security model which covers all the threats of distance bounding and an appropriate privacy notion for SHM. The second part of this thesis is to fill the gap between the distance bounding and its real-world applications. We first consider contactless access control. We define an integrated security and privacy model for access control using distance bounding (DB) to defeat relay attacks. We show how a secure DB protocol can be converted to a secure contactless access control protocol. Regarding privacy (i.e., keeping anonymity in a strong sense to an active adversary), we show that the conversion does not always preserve privacy, but it is possible to study it on a case by case basis. Then, we consider contactless payment systems. We design an adversarial model and define formally the contactless payment security against malicious cards and malicious terminals. Accordingly, we design a contactless payment protocol and show its security in our security model. The last part of this thesis focuses on positioning. We consider two problems related to positioning systems: localization and proof of location. In localization, a user aims to find its position by using a wireless network. In proof of location, a user wants to prove his/her position e.g., to have access to a system or authorize itself. We first formally define the problem of localization and construct a formal security model. We describe algorithms and protocols for localization which are secure in our model. Proof of location has been considered formally by Chandran et al. in CRYPTO 2009 and it was proved that achieving security is not possible in the vanilla model. By integrating the localization and the secure hardware model, we obtain a model where we can achieve proof of location.