Security Analysis of Re-Encryption RPC Mix Nets

Re-Encryption randomized partial checking (RPC) mix nets were introduced by Jakobsson, Juels, and Rivest in 2002 and since then have been employed in prominent modern e-voting systems and in politically binding elections in order to provide verifiable elections in a simple and efficient way. Being one of or even the most used mix nets in practice so far, these mix nets are an interesting and valuable target for rigorous security analysis. In this paper, we carry out the first formal cryptographic analysis of re-encryption RPC mix nets. We show that these mix nets, with fixes recently proposed by Khazaei and Wikström, provide a good level of verifiability, and more precisely, accountability: cheating mix servers, who try to manipulate the election outcome, are caught with high probability. Moreover, we show that all attacks that would break the privacy of voters\u27 inputs are caught with a probability of at least $1/4$. In many cases, for example, when penalties are severe or reputation can be lost, adversaries might not be willing to take this risk, and hence, would behave in a way that avoids this risk. Now, for such a class of ``risk-avoiding\u27\u27 adversaries, we show that re-encryption RPC mix nets provide a good level of privacy, even if only one mix server is honest

Kryvos: Publicly Tally-Hiding Verifiable E-Voting

Elections are an important corner stone of democratic processes. In addition to publishing the final result (e.g., the overall winner), elections typically publish the full tally consisting of all (aggregated) individual votes. This causes several issues, including loss of privacy for both voters and election candidates as well as so-called Italian attacks that allow for easily coercing voters. Several e-voting systems have been proposed to address these issues by hiding (parts of) the tally. This property is called tally-hiding. Existing tally-hiding e-voting systems in the literature aim at hiding (part of) the tally from everyone, including voting authorities, while at the same time offering verifiability, an important and standard feature of modern e-voting systems which allows voters and external observers to check that the published election result indeed corresponds to how voters actually voted. In contrast, real elections often follow a different common practice for hiding the tally: the voting authorities internally compute (and learn) the full tally but publish only the final result (e.g., the winner). This practice, which we coin publicly tally-hiding, indeed solves the aforementioned issues for the public, but currently has to sacrifice verifiability due to a lack of practical systems. In this paper, we close this gap. We formalize the common notion of publicly tally-hiding and propose the first provably secure verifiable e-voting system, called Kryvos, which directly targets publicly tally-hiding elections. We instantiate our system for a wide range of both simple and complex voting methods and various result functions. We provide an extensive evaluation which shows that Kryvos is practical and able to handle a large number of candidates, complex voting methods and result functions. Altogether, Kryvos shows that the concept of publicly tally-hiding offers a new trade-off between privacy and efficiency that is different from all previous tally-hiding systems and which allows for a radically new protocol design resulting in a practical e-voting system

Design and cryptographic security analysis of e-voting protocols

Electronic voting (e-voting) systems are used in numerous countries for political elections, but also for less critical elections within clubs and associations, and hence affect the lives of millions of people. It is therefore important to ensure that single voters' choices remain private, and to be able to verify that an election result coincides with the voters' intention. Unfortunately, for most e-voting systems employed in real elections, these fundamental security and privacy properties cannot be guaranteed, so that in particular the legitimacy of such political elections is challenged. This demonstrates the importance of employing e-voting systems that are rootedly designed to guarantee the required security. However, it turned out to be highly challenging to construct secure yet practical e-voting systems since one always has to find a balance between the (possibly conflicting) requirements of the given kind of election. In the first two chapters of the thesis' main part, we present two practical e-voting systems which are both meant for low-risk and non-political elections, e.g., within clubs or associations. We have implemented both systems to demonstrate their practicability. The first system, called sElect, is designed to be as simple as possible while still guaranteeing a good level of security. The second system, called Ordinos, provides a superior level of privacy as it only reveals the most necessary information about the election outcome, e.g., solely the winner's name but nothing else. We will rigorously analyze the security of sElect and Ordinos. To do this, we formally define the required security properties and then mathematically prove that sElect and Ordinos achieve them. In the third chapter of the thesis' main part, we provide substantial work on the fundamental notion of verifiability of e-voting systems. We analyze and compare all formal verifiability definitions from the literature regarding how meaningful, expressive, or general they are

Cryptographic techniques for privacy and access control in cloud-based applications

Digitization is one of the key challenges for today’s industries and society. It affects more and more business areas and also user data and, in particular, sensitive information. Due to its sensitivity, it is important to treat personal information as secure and private as possible yet enabling cloud-based software to use that information when requested by the user. In this thesis, we focus on the privacy-preserving outsourcing and sharing of data, the querying of outsourced protected data, and the usage of personal information as an access control mechanism for rating platforms, which should be protected from coercion attacks. In those three categories, we present cryptographic techniques and protocols that push the state of the art. In particular, we first present multi-client oblivious RAM (ORAM), which augments standard ORAM with selective data sharing through access control, confidentiality, and integrity. Second, we investigate on recent work in frequency-hiding order-preserving encryption and show that the state of the art misses rigorous treatment, allowing for simple attacks against the security of the existing scheme. As a remedy, we show how to fix the security definition and that the existing scheme, slightly adapted, fulfills it. Finally, we design and develop a coercion-resistant rating platform. Coercion-resistance has been dealt with mainly in the context of electronic voting yet also affects other areas of digital life such as rating platforms.Die Digitalisierung ist eine der größten Herausforderungen für Industrie und Gesellschaft. Neben vielen Geschäftsbereichen betrifft diese auch, insbesondere sensible, Nutzerdaten. Daher sollten persönliche Informationen so gut wie möglich gesichert werden. Zugleich brauchen Cloud-basierte Software-Anwendungen, die der Nutzer verwenden möchte, Zugang zu diesen Daten. Diese Dissertation fokussiert sich auf das sichere Auslagern und Teilen von Daten unter Wahrung der Privatsphäre, auf das Abfragen von geschützten, ausgelagerten Daten und auf die Nutzung persönlicher Informationen als Zugangsberechtigung für erpressungsresistente Bewertungsplattformen. Zu diesen drei Themen präsentieren wir kryptographische Techniken und Protokolle, die den Stand der Technik voran treiben. Der erste Teil stellt Multi-Client Oblivious RAM (ORAM) vor, das ORAM durch die Möglichkeit, Daten unter Wahrung von Vertraulichkeit und Integrität mit anderen Nutzern zu teilen, erweitert. Der zweite Teil befasst sich mit Freuquency-hiding Order-preserving Encryption. Wir zeigen, dass dem Stand der Technik eine formale Betrachtung fehlt, was zu Angriffen führt. Um Abhilfe zu schaffen, verbessern wir die Sicherheitsdefinition und beweisen, dass das existierende Verschlüsselungsschema diese durch minimale Änderung erfüllt. Abschließend entwickeln wir ein erpressungsresistentes Bewertungsportal. Erpressungsresistenz wurde bisher hauptsächlich im Kontext von elektronischen Wahlen betrachtet