Efficient public-key cryptography with bounded leakage and tamper resilience

We revisit the question of constructing public-key encryption and signature schemes with security in the presence of bounded leakage and tampering memory attacks. For signatures we obtain the first construction in the standard model; for public-key encryption we obtain the first construction free of pairing (avoiding non-interactive zero-knowledge proofs). Our constructions are based on generic building blocks, and, as we show, also admit efficient instantiations under fairly standard number-theoretic assumptions. The model of bounded tamper resistance was recently put forward by Damgård et al. (Asiacrypt 2013) as an attractive path to achieve security against arbitrary memory tampering attacks without making hardware assumptions (such as the existence of a protected self-destruct or key-update mechanism), the only restriction being on the number of allowed tampering attempts (which is a parameter of the scheme). This allows to circumvent known impossibility results for unrestricted tampering (Gennaro et al., TCC 2010), while still being able to capture realistic tampering attack

Leakage-Resilient IBE/ABE with Optimal Leakage Rates from Lattices

We derive the first adaptively secure IBE and ABE for t-CNF, and selectively secure ABE for general circuits from lattices, with $1-o(1)$ leakage rates, in the both relative leakage model and bounded retrieval model (BRM). To achieve this, we first identify a new fine-grained security notion for ABE -- partially adaptive/selective security, and instantiate this notion from LWE. Then, by using this notion, we design a new key compressing mechanism for identity-based/attributed-based weak hash proof system (IB/AB-wHPS) for various policy classes, achieving (1) succinct secret keys and (2) adaptive/selective security matching the existing non-leakage resilient lattice-based designs. Using the existing connection between weak hash proof system and leakage resilient encryption, the succinct-key IB/AB-wHPS can yield the desired leakage resilient IBE/ABE schemes with the optimal leakage rates in the relative leakage model. Finally, by further improving the prior analysis of the compatible locally computable extractors, we can achieve the optimal leakage rates in the BRM

Biometric Cryptosystems : Authentication, Encryption and Signature for Biometric Identities

Biometrics have been used for secure identification and authentication for more than two decades since biometric data is unique, non-transferable, unforgettable, and always with us. Recently, biometrics has pervaded other aspects of security applications that can be listed under the topic of ``Biometric Cryptosystems''. Although the security of some of these systems is questionable when they are utilized alone, integration with other technologies such as digital signatures or Identity Based Encryption (IBE) schemes results in cryptographically secure applications of biometrics. It is exactly this field of biometric cryptosystems that we focused in this thesis. In particular, our goal is to design cryptographic protocols for biometrics in the framework of a realistic security model with a security reduction. Our protocols are designed for biometric based encryption, signature and remote authentication. We first analyze the recently introduced biometric remote authentication schemes designed according to the security model of Bringer et al.. In this model, we show that one can improve the database storage cost significantly by designing a new architecture, which is a two-factor authentication protocol. This construction is also secure against the new attacks we present, which disprove the claimed security of remote authentication schemes, in particular the ones requiring a secure sketch. Thus, we introduce a new notion called ``Weak-identity Privacy'' and propose a new construction by combining cancelable biometrics and distributed remote authentication in order to obtain a highly secure biometric authentication system. We continue our research on biometric remote authentication by analyzing the security issues of multi-factor biometric authentication (MFBA). We formally describe the security model for MFBA that captures simultaneous attacks against these systems and define the notion of user privacy, where the goal of the adversary is to impersonate a client to the server. We design a new protocol by combining bipartite biotokens, homomorphic encryption and zero-knowledge proofs and provide a security reduction to achieve user privacy. The main difference of this MFBA protocol is that the server-side computations are performed in the encrypted domain but without requiring a decryption key for the authentication decision of the server. Thus, leakage of the secret key of any system component does not affect the security of the scheme as opposed to the current biometric systems involving cryptographic techniques. We also show that there is a tradeoff between the security level the scheme achieves and the requirement for making the authentication decision without using any secret key. In the second part of the thesis, we delve into biometric-based signature and encryption schemes. We start by designing a new biometric IBS system that is based on the currently most efficient pairing based signature scheme in the literature. We prove the security of our new scheme in the framework of a stronger model compared to existing adversarial models for fuzzy IBS, which basically simulates the leakage of partial secret key components of the challenge identity. In accordance with the novel features of this scheme, we describe a new biometric IBE system called as BIO-IBE. BIO-IBE differs from the current fuzzy systems with its key generation method that not only allows for a larger set of encryption systems to function for biometric identities, but also provides a better accuracy/identification of the users in the system. In this context, BIO-IBE is the first scheme that allows for the use of multi-modal biometrics to avoid collision attacks. Finally, BIO-IBE outperforms the current schemes and for small-universe of attributes, it is secure in the standard model with a better efficiency compared to its counterpart. Another contribution of this thesis is the design of biometric IBE systems without using pairings. In fact, current fuzzy IBE schemes are secure under (stronger) bilinear assumptions and the decryption of each message requires pairing computations almost equal to the number of attributes defining the user. Thus, fuzzy IBE makes error-tolerant encryption possible at the expense of efficiency and security. Hence, we design a completely new construction for biometric IBE based on error-correcting codes, generic conversion schemes and weakly secure anonymous IBE schemes that encrypt a message bit by bit. The resulting scheme is anonymous, highly secure and more efficient compared to pairing-based biometric IBE, especially for the decryption phase. The security of our generic construction is reduced to the security of the anonymous IBE scheme, which is based on the Quadratic Residuosity assumption. The binding of biometric features to the user's identity is achieved similar to BIO-IBE, thus, preserving the advantages of its key generation procedure

Non-Malleable Functions and Their Applications

We formally study ``non-malleable functions\u27\u27 (NMFs), a general cryptographic primitive which simplifies and relaxes ``non-malleable one-way/hash functions\u27\u27 (NMOWHFs) introduced by Boldyreva et al. (Asiacrypt 2009) and refined by Baecher et al. (CT-RSA 2010). NMFs focus on basic functions, rather than one-way/hash functions considered in the literature of NMOWHFs. We mainly follow Baecher et al. to formalize a game-based definition for NMFs. Roughly, a function $f$ is non-malleable if given an image $y^* \leftarrow f(x^*)$ for a randomly chosen $x^*$, it is hard to output a mauled image $y$ with a transformation $\phi$ from some prefixed transformation class s.t. $y = f(\phi(x^*))$. A distinctive strengthening of our non-malleable notion is that $\phi$ such that $\phi(x^*) = x^*$ is allowed. We also consider adaptive non-malleability, which stipulates that non-malleability holds even when an inversion oracle is available. We investigate the relations between non-malleability and one-wayness in depth. In non-adaptive setting, we show that for any achievable transformation class, non-malleability implies one-wayness for poly-to-one functions but not vise versa.In adaptive setting, we show that for most algebra-induced transformation class, adaptive non-malleability (ANM) is equivalent to adaptive one-wayness (AOW) for injective functions. These results establish theoretical connections between non-malleability and one-wayness for functions, which extend to trapdoor functions as well, and thus resolve the open problems left by Kiltz et al. (Eurocrypt 2010). We also study the relations between standard OW/NM and hinted OW/NM, where the latter notions are typically more useful in practice. Towards efficient realizations of NMFs, we give a deterministic construction from adaptive trapdoor functions and a randomized construction from all-but-one lossy functions and one-time signature. This partially solves an open problem posed by Boldyreva et al. (Asiacrypt 2009). Finally, we explore applications of NMFs in security against related-key attacks (RKA). We first show that the implication AOW $\Rightarrow$ ANM provides key conceptual insight into addressing non-trivial copy attacks in RKA security. We then show that NMFs give rise to a generic construction of continuous non-malleable key derivation functions, which have proven to be very useful in achieving RKA security for numerous cryptographic primitives. Particularly, our construction simplifies and clarifies the construction by Qin et al. (PKC 2015)

Trusted and Privacy-preserving Embedded Systems: Advances in Design, Analysis and Application of Lightweight Privacy-preserving Authentication and Physical Security Primitives

Radio Frequency Identification (RFID) enables RFID readers to perform fully automatic wireless identification of objects labeled with RFID tags and is widely deployed to many applications, such as access control, electronic tickets and payment as well as electronic passports. This prevalence of RFID technology introduces various risks, in particular concerning the privacy of its users and holders. Despite the privacy risk, classical threats to authentication and identification systems must be considered to prevent the adversary from impersonating or copying (cloning) a tag. This thesis summarizes the state of the art in secure and privacy-preserving authentication for RFID tags with a particular focus on solutions based on Physically Unclonable Functions (PUFs). It presents advancements in the design, analysis and evaluation of secure and privacy-preserving authentication protocols for RFID systems and PUFs. Formalizing the security and privacy requirements on RFID systems is essential for the design of provably secure and privacy-preserving RFID protocols. However, existing RFID security and privacy models in the literature are often incomparable and in part do not reflect the capabilities of real-world adversaries. We investigate subtle issues such as tag corruption aspects that lead to the impossibility of achieving both mutual authentication and any reasonable notion of privacy in one of the most comprehensive security and privacy models, which is the basis of many subsequent works. Our results led to the refinement of this privacy model and were considered in subsequent works on privacy-preserving RFID systems. A promising approach to enhance the privacy in RFID systems without lifting the computational requirements on the tags are anonymizers. These are special devices that take off the computational workload from the tags. While existing anonymizer-based protocols are subject to impersonation and denial-of-service attacks, existing RFID security and privacy models do not include anonymizers. We present the first security and privacy framework for anonymizer-enabled RFID systems and two privacy-preserving RFID authentication schemes using anonymizers. Both schemes achieve several appealing features that were not simultaneously achieved by any previous proposal. The first protocol is very efficient for all involved entities, achieves privacy under tag corruption. It is secure against impersonation attacks and forgeries even if the adversary can corrupt the anonymizers. The second scheme provides for the first time anonymity and untraceability of tags against readers as well as secure tag authentication against collisions of malicious readers and anonymizers using tags that cannot perform public-key cryptography (i.e., modular exponentiations). The RFID tags commonly used in practice are cost-efficient tokens without expensive hardware protection mechanisms. Physically Unclonable Functions (PUFs) promise to provide an effective security mechanism for RFID tags to protect against basic hardware attacks. However, existing PUF-based RFID authentication schemes are not scalable, allow only for a limited number of authentications and are subject to replay, denial-of-service and emulation attacks. We present two scalable PUF-based authentication schemes that overcome these problems. The first protocol supports tag and reader authentication, is resistant to emulation attacks and highly scalable. The second protocol uses a PUF-based key storage and addresses an open question on the feasibility of destructive privacy, i.e., the privacy of tags that are destroyed during tag corruption. The security of PUFs relies on assumptions on physical properties and is still under investigation. PUF evaluation results in the literature are difficult to compare due to varying test conditions and different analysis methods. We present the first large-scale security analysis of ASIC implementations of the five most popular electronic PUF types, including Arbiter, Ring Oscillator, SRAM, Flip-Flop and Latch PUFs. We present a new PUF evaluation methodology that allows a more precise assessment of the unpredictability properties than previous approaches and we quantify the most important properties of PUFs for their use in cryptographic schemes. PUFs have been proposed for various applications, including anti-counterfeiting and authentication schemes. However, only rudimentary PUF security models exist, limiting the confidence in the security claims of PUF-based security mechanisms. We present a formal security framework for PUF-based primitives, which has been used in subsequent works to capture the properties of image-based PUFs and in the design of anti-counterfeiting mechanisms and physical hash functions

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

Individual Verifiability for E-Voting, From Formal Verification To Machine Learning

The cornerstone of secure electronic voting protocols lies in the principle of individual verifiability. This thesis delves into the intricate task of harmonizing this principle with two other crucial aspects: ballot privacy and coercion-resistance. In the realm of electronic voting, individual verifiability serves as a critical safeguard. It empowers each voter with the ability to confirm that their vote has been accurately recorded and counted in the final tally. This thesis explores the intricate balance between this pivotal aspect of electronic voting and the equally important facets of ballot privacy and coercion-resistance. Ballot privacy, or the assurance that a voter's choice remains confidential, is a fundamental right in democratic processes. It ensures that voters can express their political preferences without fear of retribution or discrimination. On the other hand, coercion-resistance refers to the system's resilience against attempts to influence or manipulate a voter's choice. Furthermore, this thesis also ventures into an empirical analysis of the effectiveness of individual voter checks in ensuring a correct election outcome. It considers a scenario where an adversary possesses additional knowledge about the individual voters and can strategically decide which voters to target. The study aims to estimate the degree to which these checks can still guarantee the accuracy of the election results under such circumstances. In essence, this thesis embarks on a comprehensive exploration of the dynamics between individual verifiability, ballot privacy, and coercion-resistance in secure electronic voting protocols. It also seeks to quantify the effectiveness of individual voter checks in maintaining the integrity of election outcomes, particularly when faced with a knowledgeable and capable adversary. The first contribution of this thesis is revisiting the seminal coercion-resistant e-voting protocol by Juels, Catalano, and Jakobsson (JCJ), examining its usability and practicality. It discusses the credential handling system proposed by Neumann et al., which uses a smart card to unlock or fake credentials via a PIN code. The thesis identifies several security concerns with the JCJ protocol, including an attack on coercion-resistance due to information leakage from the removal of duplicate ballots. It also addresses the issues of PIN errors and the single point of failure associated with the smart card. To mitigate these vulnerabilities, we propose hardware-flexible protocols that allow credentials to be stored by ordinary means while still being PIN-based and providing PIN error resilience. One of these protocols features a linear tally complexity, ensuring efficiency and scalability for large-scale electronic voting systems. The second contribution of this thesis pertains to the exploration and validation of the ballot privacy definition proposed by Cortier et. al., particularly in the context of an adversarial presence. Our exploration involves both the Selene and the MiniVoting abstract scheme. We apply Cortier's definition of ballot privacy to this scheme, investigating how it holds up under this framework. To ensure the validity of our findings, we employ the use of tools for machine-checked proof. This method provides a rigorous and reliable means of verifying our results, ensuring that our conclusions are both accurate and trustworthy. The final contribution of this thesis is a detailed examination and analysis of the Estonian election results. This analysis is conducted in several phases, each contributing to a comprehensive understanding of the election process. The first phase involves a comprehensive marginal analysis of the Estonian election results. We compute upper bounds for several margins, providing a detailed statistical overview of the election outcome. This analysis allows us to identify key trends and patterns in the voting data, laying the groundwork for the subsequent phase of our research. We then train multiple binary classifiers to predict whether a voter is likely to verify their vote. This predictive modeling enables an adversary to gain insights into voter behavior and the factors that may influence their decision to verify their vote. With the insights gained from the previous phases, an adversarial classification algorithm for verifying voters is trained. The likelihood of such an adversary is calculated using various machine learning models, providing a more robust assessment of potential threats to the election process

LIPIcs, Volume 251, ITCS 2023, Complete Volume

LIPIcs, Volume 251, ITCS 2023, Complete Volum