Dynamic Group Diffie-Hellman Key Exchange under Standard Assumptions

Authenticated Diffie-Hellman key exchange allows two principals communicating over a public network, and each holding public /private keys, to agree on a shared secret value. In this paper we study the natural extension of this cryptographic problem to a group of principals. We begin from existing formal security models and refine them to incorporate major missing details (e.g., strong-corruption and concurrent sessions). Within this model we define the execution of a protocol for authenticated dynamic group Diffie-Hellman and show that it is provably secure under the decisional Diffie-Hellman assumption. Our security result holds in the standard model and thus provides better security guarantees than previously published results in the random oracle model

Password-Authenticated Group Key Agreement with Adaptive Security and Contributiveness

The original publication is available at www.springerlink.comInternational audienceAdaptively-secure key exchange allows the establishment of secure channels even in the presence of an adversary that can corrupt parties adaptively and obtain their internal states. In this paper, we give a formal definition of contributory protocols and define an ideal functionality for password-based group key exchange with explicit authentication and contributiveness in the UC framework. As with previous definitions in the same framework, our definitions do not assume any particular distribution on passwords or independence between passwords of different parties. We also provide the first steps toward realizing this functionality in the above strong adaptive setting by analyzing an efficient existing protocol and showing that it realizes the ideal functionality in the random-oracle and ideal-cipher models based on the CDH assumption

A Formal Analysis of 5G Authentication

Mobile communication networks connect much of the world's population. The security of users' calls, SMSs, and mobile data depends on the guarantees provided by the Authenticated Key Exchange protocols used. For the next-generation network (5G), the 3GPP group has standardized the 5G AKA protocol for this purpose. We provide the first comprehensive formal model of a protocol from the AKA family: 5G AKA. We also extract precise requirements from the 3GPP standards defining 5G and we identify missing security goals. Using the security protocol verification tool Tamarin, we conduct a full, systematic, security evaluation of the model with respect to the 5G security goals. Our automated analysis identifies the minimal security assumptions required for each security goal and we find that some critical security goals are not met, except under additional assumptions missing from the standard. Finally, we make explicit recommendations with provably secure fixes for the attacks and weaknesses we found.Comment: Categories (ACM class 2012): Security and privacy - Formal methods and theory of security -- Security requirements -- Formal security models -- Logic and verification; Network protocols - Protocol correctness -- Formal specifications; Security and privacy - Network security -- Mobile and wireless security - Security services -- Privacy-preserving protocol

Post-Quantum Signal Key Agreement with SIDH

In the effort to transition cryptographic primitives and protocols to quantum-resistant alternatives, an interesting and useful challenge is found in the Signal protocol. The initial key agreement component of this protocol, called X3DH, has so far proved more subtle to replace - in part due to the unclear security model and properties the original protocol is designed for. This paper defines a formal security model for the original signal protocol, in the context of the standard eCK and CK+ type models, which we call the Signal-adapted-CK model. We then propose a secure replacement for the Signal X3DH key exchange protocol based on SIDH, and provide a proof of security in the Signal-adapted-CK model, showing our protocol satisfies all security properties of the original Signal X3DH. We call this new protocol SI-X3DH. Our protocol refutes the claim of Brendel, Fischlin, Günther, Janson, and Stebila [Selected Areas in Cryptography (2020)] that SIDH cannot be used to construct a secure X3DH replacement due to adaptive attacks. Unlike the generic constructions proposed in the literature, our protocol achieves deniability without expensive machinery such as post-quantum ring signatures. It also benefits from the efficiency of SIDH as a key-exchange protocol, compared to other post-quantum key exchange protocols such as CSIDH

Development of security strategies using Kerberos in wireless networks

Authentication is the primary function used to reduce the risk of illegitimate access to IT services of any organisation. Kerberos is a widely used authentication protocol for authentication and access control mechanisms. This thesis presents the development of security strategies using Kerberos authentication protocol in wireless networks, Kerberos-Key Exchange protocol, Kerberos with timed-delay, Kerberos with timed-delay and delayed decryption, Kerberos with timed-delay, delayed decryption and password encryption properties. This thesis also includes a number of other research works such as, frequently key renewal under pseudo-secure conditions and shut down of the authentication server to external access temporarily to allow for secure key exchange. A general approach for the analysis and verification of authentication properties as well as Kerberos authentication protocol are presented. Existing authentication mechanisms coupled with strong encryption techniques are considered, investigated and analysed in detail. IEEE 802.1x standard, IEEE 802.11 wireless communication networks are also considered. First, existing security and authentication approaches for Kerberos authentication protocol are critically analysed with the discussions on merits and weaknesses. Then relevant terminology is defined and explained. Since Kerberos exhibits some vulnerabilities, the existing solutions have not treated the possibilities of more than one authentication server in a strict sense. A three way authentication mechanism addresses possible solution to this problem. An authentication protocol has been developed to improve the three way authentication mechanism for Kerberos. Dynamically renewing keys under pseudo-secure situations involves a temporary interruption to link/server access. After describing and analysing a protocol to achieve improved security for authentication, an analytical method is used to evaluate the cost in terms of the degradation of system performability. Various results are presented. An approach that involves a new authentication protocol is proposed. This new approach combines delaying decryption with timed authentication by using passwords and session keys for authentication purposes, and frequent key renewal under secure conditions. The analysis and verification of authentication properties and results of the designed protocol are presented and discussed. Protocols often fail when they are analysed critically. Formal approaches have emerged to analyse protocol failures. Abstract languages are designed especially for the description of communication patterns. A notion of rank functions is introduced for analysing purposes as well. An application of this formal approach to a newly designed authentication protocol that combines delaying the decryption process with timed authentication is presented. Formal methods for verifying cryptographic protocols are created to assist in ensuring that authentication protocols meet their specifications. Model checking techniques such as Communicating Sequential Processes (CSP) and Failure Divergence Refinement (FDR) checker, are widely acknowledged for effectively and efficiently revealing flaws in protocols faster than most other contemporaries. Essentially, model checking involves a detailed search of all the states reachable by the components of a protocol model. In the models that describe authentication protocols, the components, regarded as processes, are the principals including intruder (attacker) and parameters for authentication such as keys, nonces, tickets, and certificates. In this research, an automated generation tool, CASPER is used to produce CSP descriptions. Proposed protocol models rely on trusted third parties in authentication transactions while intruder capabilities are based on possible inductions and deductions. This research attempts to combine the two methods in model checking in order to realise an abstract description of intruder with enhanced capabilities. A target protocol of interest is that of Kerberos authentication protocol. The process of increasing the strength of security mechanisms usually impacts on performance thresholds. In recognition of this fact, the research adopts an analytical method known as spectral expansion to ascertain the level of impact, and which resulting protocol amendments will have on performance. Spectral expansion is based on state exploration. This implies that it is subject, as model checking, to the state explosion problem. The performance characteristics of amended protocols are examined relative to the existing protocols. Numerical solutions are presented for all models developed

Towards secure communication and authentication: Provable security analysis and new constructions

Secure communication and authentication are some of the most important and practical topics studied in modern cryptography. Plenty of cryptographic protocols have been proposed to accommodate all sorts of requirements in different settings and some of those have been widely deployed and utilized in our daily lives. It is a crucial goal to provide formal security guarantees for such protocols. In this thesis, we apply the provable security approach, a standard method used in cryptography to formally analyze the security of cryptographic protocols, to three problems related to secure communication and authentication. First, we focus on the case where a user and a server share a secret and try to authenticate each other and establish a session key for secure communication, for which we propose the first user authentication and key exchange protocols that can tolerate strong corruptions on the client-side. Next, we consider the setting where a public-key infrastructure (PKI) is available and propose models to thoroughly compare the security and availability properties of the most important low-latency secure channel establishment protocols. Finally, we perform the first provable security analysis of the new FIDO2 protocols, the promising proposed standard for passwordless user authentication from the Fast IDentity Online (FIDO) Alliance to replace the world's over-reliance on passwords to authenticate users, and design new constructions to achieve stronger security.Ph.D

Secure Communication Channel Establishment: TLS 1.3 (over TCP Fast Open) versus QUIC

Secure channel establishment protocols such as Transport Layer Security (TLS) are some of the most important cryptographic protocols, enabling the encryption of Internet traffic. Reducing latency (the number of interactions between parties before encrypted data can be transmitted) in such protocols has become an important design goal to improve user experience. The most important protocols addressing this goal are TLS 1.3, the latest TLS version standardized in 2018 to replace the widely deployed TLS 1.2, and Quick UDP Internet Connections (QUIC), a secure transport protocol from Google that is implemented in the Chrome browser. There have been a number of formal security analyses for TLS 1.3 and QUIC, but their security, when layered with their underlying transport protocols, cannot be easily compared. Our work is the first to thoroughly compare the security and availability properties of these protocols. Towards this goal, we develop novel security models that permit layered\u27\u27 security analysis. In addition to the standard goals of server authentication and data confidentiality and integrity, we consider the goals of IP spoofing prevention, key exchange packet integrity, secure channel header integrity, and reset authentication, which capture a range of practical threats not usually taken into account by existing security models that focus mainly on the cryptographic cores of the protocols. Equipped with our new models we provide a detailed comparison of three low-latency layered protocols: TLS 1.3 over TCP Fast Open (TFO), QUIC over UDP, and QUIC[TLS] (a new design for QUIC that uses TLS 1.3 key exchange) over UDP. In particular, we show that TFO\u27s cookie mechanism does provably achieve the security goal of IP spoofing prevention. Additionally, we find several new availability attacks that manipulate the early key exchange packets without being detected by the communicating parties. By including packet-level attacks in our analysis, our results shed light on how the reliability, flow control, and congestion control of the above layered protocols compare, in adversarial settings. We hope that our models will help protocol designers in their future protocol analyses and that our results will help practitioners better understand the advantages and limitations of secure channel establishment protocols

On the Limits of Authenticated Key Exchange Security with an Application to Bad Randomness

State-of-the-art authenticated key exchange (AKE) protocols are proven secure in game-based security models. These models have considerably evolved in strength from the original Bellare-Rogaway model. However, so far only informal impossibility results, which suggest that no protocol can be secure against stronger adversaries, have been sketched. At the same time, there are many different security models being used, all of which aim to model the strongest possible adversary. In this paper we provide the first systematic analysis of the limits of game-based security models. Our analysis reveals that different security goals can be achieved in different relevant classes of AKE protocols. From our formal impossibility results, we derive strong security models for these protocol classes and give protocols that are secure in them. In particular, we analyse the security of AKE protocols in the presence of adversaries who can perform attacks based on chosen randomness, in which the adversary controls the randomness used in protocol sessions. Protocols that do not modify memory shared among sessions, which we call stateless protocols, are insecure against chosen-randomness attacks. We propose novel stateful protocols that provide resilience even against this worst case randomness failure, thereby weakening the security assumptions required on the random number generator

Modeling Advanced Security Aspects of Key Exchange and Secure Channel Protocols

Secure communication has become an essential ingredient of our daily life. Mostly unnoticed, cryptography is protecting our interactions today when we read emails or do banking over the Internet, withdraw cash at an ATM, or chat with friends on our smartphone. Security in such communication is enabled through two components. First, two parties that wish to communicate securely engage in a key exchange protocol in order to establish a shared secret key known only to them. The established key is then used in a follow-up secure channel protocol in order to protect the actual data communicated against eavesdropping or malicious modification on the way. In modern cryptography, security is formalized through abstract mathematical security models which describe the considered class of attacks a cryptographic system is supposed to withstand. Such models enable formal reasoning that no attacker can, in reasonable time, break the security of a system assuming the security of its underlying building blocks or that certain mathematical problems are hard to solve. Given that the assumptions made are valid, security proofs in that sense hence rule out a certain class of attackers with well-defined capabilities. In order for such results to be meaningful for the actually deployed cryptographic systems, it is of utmost importance that security models capture the system's behavior and threats faced in that 'real world' as accurately as possible, yet not be overly demanding in order to still allow for efficient constructions. If a security model fails to capture a realistic attack in practice, such an attack remains viable on a cryptographic system despite a proof of security in that model, at worst voiding the system's overall practical security. In this thesis, we reconsider the established security models for key exchange and secure channel protocols. To this end, we study novel and advanced security aspects that have been introduced in recent designs of some of the most important security protocols deployed, or that escaped a formal treatment so far. We introduce enhanced security models in order to capture these advanced aspects and apply them to analyze the security of major practical key exchange and secure channel protocols, either directly or through comparatively close generic protocol designs. Key exchange protocols have so far always been understood as establishing a single secret key, and then terminating their operation. This changed in recent practical designs, specifically of Google's QUIC ("Quick UDP Internet Connections") protocol and the upcoming version 1.3 of the Transport Layer Security (TLS) protocol, the latter being the de-facto standard for security protocols. Both protocols derive multiple keys in what we formalize in this thesis as a multi-stage key exchange (MSKE) protocol, with the derived keys potentially depending on each other and differing in cryptographic strength. Our MSKE security model allows us to capture such dependencies and differences between all keys established in a single framework. In this thesis, we apply our model to assess the security of both the QUIC and the TLS 1.3 key exchange design. For QUIC, we are able to confirm the intended overall security but at the same time highlight an undesirable dependency between the two keys QUIC derives. For TLS 1.3, we begin by analyzing the main key exchange mode as well as a reduced resumption mode. Our analysis attests that TLS 1.3 achieves strong security for all keys derived without undesired dependencies, in particular confirming several of this new TLS version's design goals. We then also compare the QUIC and TLS 1.3 designs with respect to a novel 'zero round-trip time' key exchange mode establishing an initial key with minimal latency, studying how differences in these designs affect the achievable key exchange security. As this thesis' last contribution in the realm of key exchange, we formalize the notion of key confirmation which ensures one party in a key exchange execution that the other party indeed holds the same key. Despite being frequently mentioned in practical protocol specifications, key confirmation was never comprehensively treated so far. In particular, our formalization exposes an inherent, slight difference in the confirmation guarantees both communication partners can obtain and enables us to analyze the key confirmation properties of TLS 1.3. Secure channels have so far been modeled as protecting a sequence of distinct messages using a single secret key. Our first contribution in the realm of channels originates from the observation that, in practice, secure channel protocols like TLS actually do not allow an application to transmit distinct, or atomic, messages. Instead, they provide applications with a streaming interface to transmit a stream of bits without any inherent demarcation of individual messages. Necessarily, the security guarantees of such an interface differ significantly from those considered in cryptographic models so far. In particular, messages may be fragmented in transport, and the recipient may obtain the sent stream in a different fragmentation, which has in the past led to confusion and practical attacks on major application protocol implementations. In this thesis, we formalize such stream-based channels and introduce corresponding security notions of confidentiality and integrity capturing the inherently increased complexity. We then present a generic construction of a stream-based channel based on authenticated encryption with associated data (AEAD) that achieves the strongest security notions in our model and serves as validation of the similar TLS channel design. We also study the security of such applications whose messages are inherently atomic and which need to safely transport these messages over a streaming, i.e., possibly fragmenting, channel. Formalizing the desired security properties in terms of confidentiality and integrity in such a setting, we investigate and confirm the security of the widely adopted approach to encode the application's messages into the continuous data stream. Finally, we study a novel paradigm employed in the TLS 1.3 channel design, namely to update the keys used to secure a channel during that channel's lifetime in order to strengthen its security. We propose and formalize the notion of multi-key channels deploying such sequences of keys and capture their advanced security properties in a hierarchical framework of confidentiality and integrity notions. We show that our hierarchy of notions naturally connects to the established notions for single-key channels and instantiate its strongest security notions with a generic AEAD-based construction. Being comparatively close to the TLS 1.3 channel protocol, our construction furthermore enables a comparative design discussion