Usually, a proof of a theorem contains more knowledge than the mere fact that the theorem is true. For instance, to prove that a graph is Hamiltonian it suffices to exhibit a Hamiltonian tour in it; however, this seems to contain more knowledge than the single bit Hamiltonian/non-Hamiltonian.In this paper a computational complexity theory of the “knowledge” contained in a proof is developed. Zero-knowledge proofs are defined as those proofs that convey no additional knowledge other than the correctness of the proposition in question. Examples of zero-knowledge proof systems are given for the languages of quadratic residuosity and 'quadratic nonresiduosity. These are the first examples of zero-knowledge proofs for languages not known to be efficiently recognizable.

/pdf/the-knowledge-complexity-of-interactive-proof-systems-31apre0ecf.pdf

The knowledge complexity of interactive proof-systems

Signal is a new security protocol and accompanying app that provides end-to-end encryption for instant messaging. The core protocol has recently been adopted by WhatsApp, Facebook Messenger, and Google Allo among many others, the first two of these have at least 1 billion active users. Signal includes several uncommon security properties (such as "future secrecy" or "post-compromise security"), enabled by a novel technique called ratcheting in which session keys are updated with every message sent. Despite its importance and novelty, there has been little to no academic analysis of the Signal protocol. We conduct the first security analysis of Signal's key agreement and double ratchet as a multi-stage key exchange protocol. We extract from the implementation a formal description of the abstract protocol, and define a security model which can capture the "ratcheting" key update structure. We then prove the security of Signal's core in our model, demonstrating several standard security properties. We have found no major flaws in the design, and hope that our presentation and results can serve as a starting point for other analyses of this widely adopted protocol.

/pdf/a-formal-security-analysis-of-the-signal-messaging-protocol-12piliqj6e.pdf

A Formal Security Analysis of the Signal Messaging Protocol

Quantum cryptography exploits principles of quantum physics for the secure processing of information. A prominent example is secure communication, i.e., the task of transmitting confidential messages from one location to another. The cryptographic requirement here is that the transmitted messages remain inaccessible to anyone other than the designated recipients, even if the communication channel is untrusted. In classical cryptography, this can usually only be guaranteed under computational hardness assumptions, e.g., that factoring large integers is infeasible. In contrast, the security of quantum cryptography relies entirely on the laws of quantum mechanics. Here we review this physical notion of security, focusing on quantum key distribution and secure communication.

Security in Quantum Cryptography.

This tutorial reviews fundamental contributions to information security An integrative viewpoint is taken that explains the security metrics, including secrecy, privacy, and others, the methodology of information-theoretic approaches, along with the arising system design principles, as well as techniques that enable the information-theoretic designs to be applied in real communication and computing systems The tutorial, while summarizing these contributions, argues for the simultaneous pivotal role of fundamental limits and coding techniques for secure communication system design

An Overview of Information-Theoretic Security and Privacy: Metrics, Limits and Applications

Signal is a famous secure messaging protocol used by billions of people, by virtue of many secure text messaging applications including Signal itself, WhatsApp, Facebook Messenger, Skype, and Google Allo. At its core it uses the concept of “double ratcheting,” where every message is encrypted and authenticated using a fresh symmetric key; it has many attractive properties, such as forward security, post-compromise security, and “immediate (no-delay) decryption,” which had never been achieved in combination by prior messaging protocols.

The double ratchet: Security notions, proofs, and modularization for the signal protocol

A continuous group key agreement (CGKA) protocol allows a long-lived group of parties to agree on a continuous stream of fresh secret key material. CGKA protocols allow parties to join and leave mid-session but may neither rely on special group managers, trusted third parties, nor on any assumptions about if, when, or for how long members are online. CGKA captures the core of an emerging generation of highly practical end-to-end secure group messaging (SGM) protocols.

Continuous Group Key Agreement with Active Security.

A continuous group key agreement (CGKA) protocol allows a long-lived group of parties to agree on a continuous stream of fresh secret key material CGKA protocols allow parties to join and leave mid-session but may neither rely on special group managers, trusted third parties, nor on any assumptions about if, when, or for how long members are online CGKA captures the core of an emerging generation of highly practical end-to-end secure group messaging (SGM) protocols

/pdf/continuous-group-key-agreement-with-active-security-4drwar4tbl.pdf

Ratcheting, an umbrella term for certain techniques for achieving secure messaging with strong guarantees, has spurred much interest in the cryptographic community, with several novel protocols proposed as of lately. Most of them are composed from several sub-protocols, often sharing similar ideas across different protocols. Thus, one could hope to reuse the sub-protocols to build new protocols achieving different security, efficiency, and usability trade-offs. This is especially desirable in view of the community’s current aim for group messaging, which has a significantly larger design space. However, the underlying ideas are usually not made explicit, but rather implicitly encoded in a (fairly complex) security game, primarily targeted at the overall security proof. This not only hinders modular protocol design, but also makes the suitability of a protocol for a particular application difficult to assess.

A Unified and Composable Take on Ratcheting

The Messaging Layer Security (MLS) protocol is a new complex open standard for end-to-end (E2E) secure group messaging being developed by the IETF. Its primary security goal is to provide E2E privacy and authenticity for messages in long lived sessions whenever possible. This, despite the participation (at times) of malicious insiders that can interact with the PKI at will, actively deviate from the protocol, leak honest parties’ states, and fully control the network. The cryptographic core of the MLS protocol (from which it inherits essentially all of its efficiency and security properties) is a Continuous Group Key Agreement (CGKA) protocol. CGKA protocols provide asynchronous E2E secure group management by allowing group members to agree on a fresh independent symmetric key after every change to the group’s state (e.g. when someone joins/leaves the group). In this work, we make progress towards a precise understanding of the insider security of MLS in the form of 3 contributions. On the theory side, we overcome several subtelties to formulate the first notion of insider security for a CGKA (or group messaging) protocol. Next, we isolate the core components of MLS to obtain a CGKA protocol we dubbed Insider Secure TreeKEM (ITK). Finally, we give a rigorous proof that ITK provides (adaptive) insider security. In particular, this work also initiates the study of insider secure CGKA protocols, a primitive of interest in its own right. ? Research supported by the Swiss National Science Foundation (SNF) via Fellowship no. P2EZP2 195410. Work partially done while at ETH Zurich, Switzerland. ?? Research supported by the Zurich Information Security and Privacy Center (ZISC).

/pdf/on-the-insider-security-of-mls-4qsvo8taio.pdf

On The Insider Security of MLS.

Composable security definitions, at times called simulation-based definitions, provide strong security guarantees that hold in any context. However, they are also met with some skepticism due to many impossibility results; goals such as commitments and zero-knowledge that are achievable in a stand-alone sense were shown to be unachievable composably (without a setup) since provably no efficient simulator exists. In particular, in the context of adaptive security, the so-called “simulator commitment problem” arises: once a party gets corrupted, an efficient simulator is unable to be consistent with its pre-corruption outputs. A natural question is whether such impossibility results are unavoidable or only artifacts of frameworks being too restrictive.

Overcoming Impossibility Results in Composable Security Using Interval-Wise Guarantees

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Papers

Continuous Group Key Agreement with Active Security.

Continuous Group Key Agreement with Active Security.

A Unified and Composable Take on Ratcheting

On The Insider Security of MLS.

Overcoming Impossibility Results in Composable Security Using Interval-Wise Guarantees