On the Incoercibility of Digital Signatures

We introduce incoercible digital signature schemes, a variant of a standard digital signature. Incoercible signatures enable signers, when coerced to produce a signature for a message chosen by an attacker, to generate fake signatures that are indistinguishable from real signatures, even if the signer is compelled to reveal their full history (including their secret signing keys and any randomness used to produce keys/signatures) to the attacker. Additionally, we introduce an authenticator that can detect fake signatures, which ensures that coercion is identified. We present a formal security model for incoercible signature schemes that comprises an established definition of unforgeability and captures new notions of weak receipt-freeness, strong receipt-freeness and coercion-resistance. We demonstrate that an incoercible signature scheme can be viewed as a transformation of any generic signature scheme. Indeed, we present two incoercible signature scheme constructions that are built from a standard signature scheme and a sender-deniable encryption scheme. We prove that our first construction satisfies coercion-resistance, and our second satisfies strong receipt-freeness. We conclude by presenting an extension to our security model: we show that our security model can be extended to the designated verifier signature scheme setting in an intuitive way as the designated verifier can assume the role of the authenticator and detect coercion during the verification process

On Provable Security for Complex Systems

We investigate the contribution of cryptographic proofs of security to a systematic security engineering process. To this end we study how to model and prove security for concrete applications in three practical domains: computer networks, data outsourcing, and electronic voting. We conclude that cryptographic proofs of security can benefit a security engineering process in formulating requirements, influencing design, and identifying constraints for the implementation

Studies in incoercible and adaptively secure computation

Despite being a relatively young field, cryptography taught us how to perform seemingly-impossible tasks, which now became part of our everyday life. One of them is secure multiparty computation (MPC), which allows mutually distrustful parties to jointly perform a computation on their private inputs, so that each party only learns its prescribed output, but nothing else. In this work we deal with two longstanding challenges of MPC: adaptive security and deniability (or, incoercibility). A protocol is said to be adaptively secure, if it still guarantees security for the remaining honest parties, even if some parties turn dishonest during the execution of the protocol, or even after the execution. (In contrast, statically secure protocols give security guarantees only when the set of dishonest parties is fixed before the execution starts.) While adaptive security threat model is often more realistic than the static one, there is a huge gap between efficiency of statically and adaptively secure protocols: adaptively secure protocols often require more complicated constructions, stronger assumptions, and more rounds of interaction. We improve in efficiency over the state of the art in adaptive security for a number of settings, including the first adaptively secure MPC protocol in constant number of rounds, under assumptions comparable to those of static protocols (previously known protocols required as many rounds of interaction as the depth of the circuit being computed). The second challenge we deal with is providing resilience in the situation where an external coercer demands that participants disclose their private inputs and all their secret keys - e.g. via threats, bribe, or court order. Deniable (or, incoercible) protocols allow coerced participants to convincingly lie about their inputs and secret keys, thereby still maintaining their privacy. While the concept was proposed more than twenty years ago, to date secure protocols withstanding coercion of all participants were not known, even for the simple case of encryption. We present the first construction of such an encryption scheme, and then show how to combine it with adaptively secure protocols to obtain the first incoercible MPC which withstands coercion of all parties