Cryptographic Analysis of Secure Messaging Protocols

Instant messaging applications promise their users a secure and private way to communicate. The validity of these promises rests on the design of the underlying protocol, the cryptographic primitives used and the quality of the implementation. Though secure messaging designs exist in the literature, for various reasons developers of messaging applications often opt to design their own protocols, creating a gap between cryptography as understood by academic research and cryptography as implemented in practice. This thesis contributes to bridging this gap by approaching it from both sides: by looking for flaws in the protocols underlying real-world messaging applications, as well as by performing a rigorous analysis of their security guarantees in a provable security model.Secure messaging can provide a host of different, sometimes conflicting, security and privacy guarantees. It is thus important to judge applications based on the concrete security expectations of their users. This is particularly significant for higher-risk users such as activists or civil rights protesters. To position our work, we first studied the security practices of protesters in the context of the 2019 Anti-ELAB protests in Hong Kong using in-depth, semi-structured interviews with participants of these protests. We report how they organised on different chat platforms based on their perceived security, and how they developed tactics and strategies to enable pseudonymity and detect compromise.Then, we analysed two messaging applications relevant in the protest context: Bridgefy and Telegram. Bridgefy is a mobile mesh messaging application, allowing users in relative proximity to communicate without the Internet. It was being promoted as a secure communication tool for use in areas experiencing large-scale protests. We showed that Bridgefy permitted its users to be tracked, offered no authenticity, no effective confidentiality protections and lacked resilience against adversarially crafted messages. We verified these vulnerabilities by demonstrating a series of practical attacks.Telegram is a messaging platform with over 500 million users, yet prior to this work its bespoke protocol, MTProto, had received little attention from the cryptographic community. We provided the first comprehensive study of the MTProto symmetric channel as implemented in cloud chats. We gave both positive and negative results. First, we found two attacks on the existing protocol, and two attacks on its implementation in official clients which exploit timing side channels and uncover a vulnerability in the key exchange protocol. Second, we proved that a fixed version of the symmetric MTProto protocol achieves security in a suitable bidirectional secure channel model, albeit under unstudied assumptions. Our model itself advances the state-of-the-art for secure channels

Caveat Implementor! Key Recovery Attacks on MEGA

MEGA is a large-scale cloud storage and communication platform that aims to provide end-to-end encryption for stored data. A recent analysis by Backendal, Haller and Paterson (IEEE S&P 2023) invalidated these security claims by presenting practical attacks against MEGA that could be mounted by the MEGA service provider. In response, the MEGA developers added lightweight sanity checks on the user RSA private keys used in MEGA, sufficient to prevent the previous attacks. We analyse these new sanity checks and show how they themselves can be exploited to mount novel attacks on MEGA that recover a target user’s RSA private key with only slightly higher attack complexity than the original attacks. We identify the presence of an ECB encryption oracle under a target user’s master key in the MEGA system; this oracle provides our adversary with the ability to partially overwrite a target user’s RSA private key with chosen data, a powerful capability that we use in our attacks. We then present two distinct types of attack, each type exploiting different error conditions arising in the sanity checks and in subsequent cryptographic processing during MEGA’s user authentication procedure. The first type appears to be novel and exploits the manner in which the MEGA code handles modular inversion when recomputing u = q−1 mod p. The second can be viewed as a small subgroup attack (van Oorschot and Wiener, EUROCRYPT 1996, Lim and Lee, CRYPTO 1998). We prototype the attacks and show that they work in practice. As a side contribution, we show how to improve the RSA key recovery attack of Backendal-Haller-Paterson against the unpatched version of MEGA to require only 2 logins instead of the original 512. We conclude by discussing wider lessons about secure implementation of cryptography that our work surfaces.ISSN:0302-9743ISSN:1611-334

Caveat Implementor! Key Recovery Attacks on MEGA

MEGA is a large-scale cloud storage and communication platform that aims to provide end-to-end encryption for stored data. A recent analysis by Backendal, Haller and Paterson (IEEE S&P 2023) invalidated these security claims by presenting practical attacks against MEGA that could be mounted by the MEGA service provider. In response, the MEGA developers added lightweight sanity checks on the user RSA private keys used in MEGA, sufficient to prevent the previous attacks. We analyse these new sanity checks and show how they themselves can be exploited to mount novel attacks on MEGA that recover a target user\u27s RSA private key with only slightly higher attack complexity than the original attacks. We identify the presence of an ECB encryption oracle under a target user\u27s master key in the MEGA system; this oracle provides our adversary with the ability to partially overwrite a target user\u27s RSA private key with chosen data, a powerful capability that we use in our attacks. We then present two distinct types of attack, each type exploiting different error conditions arising in the sanity checks and in subsequent cryptographic processing during MEGA\u27s user authentication procedure. The first type appears to be novel and exploits the manner in which the MEGA code handles modular inversion when recomputing $u = q^{-1} \bmod p$. The second can be viewed as a small subgroup attack (van Oorschot and Wiener, EUROCRYPT 1996, Lim and Lee, CRYPTO 1998). We prototype the attacks and show that they work in practice. As a side contribution, we show how to improve the RSA key recovery attack of Backendal-Haller-Paterson against the unpatched version of MEGA to require only 2 logins instead of the original 512. We conclude by discussing wider lessons about secure implementation of cryptography that our work surfaces

E-cclesia: Universally Composable Self-Tallying Elections

The technological advancements of the digital era paved the way for the facilitation of electronic voting (e-voting) in the promise of efficiency and enhanced security. In standard e-voting designs, the tally process is assigned to a committee of designated entities called talliers. Naturally, the security analysis of any e-voting system with tallier designation hinges on the assumption that a subset of the talliers follows the execution guidelines and does not attempt to breach privacy. As an alternative approach, Kiayias and Yung [PKC ’02] pioneered the self-tallying elections (STE) paradigm, where the post-ballot-casting (tally) phase can be performed by any interested party, removing the need for tallier designation. In this work, we explore the prospect of decentralized e-voting where security is preserved under concurrent protocol executions. In particular, we provide the first comprehensive formalization of STE in the universal composability (UC) framework introduced by Canetti [FOCS ’01] via an ideal functionality that captures required security properties such as voter privacy, eligibility, fairness, one-voter one-vote, and verifiability. We provide a concrete instantiation, called E-cclesia , that UC realizes our functionality. The design of E-cclesia integrates several cryptographic primitives such as signatures of knowledge for anonymous eligibility check, dynamic accumulators for scalability, time-lock encryption for fairness and anonymous broadcast channels for voter privacy. For the latter primitive, we provide the first UC formalization along with a construction based on mix-nets that utilises layered encryption, threshold secret sharing and equivocation techniques. Finally, we discuss deployment and scalability considerations for E-cclesia . We present preliminary benchmarks of the key operations (in terms of computational cost) of the voting client and demonstrate the feasibility of our proposal with readily available cryptographic tools for mid-sized elections (∼100,000 voters)