Updatable Encryption with Post-Compromise Security

An updatable encryption scheme allows to periodically rotate the encryption key and move already existing ciphertexts from the old to the new key. These ciphertext updates are done with the help of a so-called update token and can be performed by an untrusted party, as the update never decrypts the data. Updatable encryption is particularly useful in settings where encrypted data is outsourced, e.g., stored on a cloud server. The data owner can produce an update token, and the cloud server can update the ciphertexts. We provide a comprehensive treatment of ciphertext-independent schemes, where a single token is used to update all ciphertexts. We show that the existing ciphertext-independent schemes and models by Boneh et al. (CRYPTO’13) and Everspaugh et al. (CRYPTO’17) do not guarantee the post-compromise security one would intuitively expect from key rotation. In fact, the simple scheme recently proposed by Everspaugh et al. allows to recover the current key upon corruption of a single old key. Surprisingly, none of the models so far reflects the timely aspect of key rotation which makes it hard to grasp when an adversary is allowed to corrupt keys. We propose strong security models that clearly capture post-compromise and forward security under adaptive attacks. We then analyze various existing schemes and show that none of them is secure in this strong model, but we formulate the additional constraints that suffice to prove their security in a relaxed version of our model. Finally, we propose a new updatable encryption scheme that achieves our strong notions while being (at least) as efficient as the existing solutions

Optimal Controller and Security Parameter for Encrypted Control Systems Under Least Squares Identification

Encrypted control is a framework for the secure outsourcing of controller computation using homomorphic encryption that allows to perform arithmetic operations on encrypted data without decryption. In a previous study, the security level of encrypted control systems was quantified based on the difficulty and computation time of system identification. This study investigates an optimal design of encrypted control systems when facing an attack attempting to estimate a system parameter by the least squares method from the perspective of the security level. This study proposes an optimal $H_2$ controller that maximizes the difficulty of estimation and an equation to determine the minimum security parameter that guarantee the security of an encrypted control system as a solution to the design problem. The proposed controller and security parameter are beneficial for reducing the computation costs of an encrypted control system, while achieving the desired security level. Furthermore, the proposed design method enables the systematic design of encrypted control systems.Comment: 6 pages, 1 figur

Improved Security Notions for Proxy Re-Encryption to Enforce Access Control

Proxy Re-Encryption (PRE) allows a ciphertext encrypted under Alice’s public key to be transformed to an encryption under Bob’s public key without revealing either the plaintext or the decryption keys. PRE schemes have clear applications to cryptographic access control by allowing outsourced data to be selectively shared to users via re-encryption to appropriate keys. One concern for this application is that the server should not be able to perform unauthorised re-encryptions. We argue that current security notions do not adequately address this concern. We revisit existing definitions for PRE, starting by challenging the concept of unidirectionality, which states that re-encryption tokens from A to B cannot be used to re-encrypt from B to A. We strengthen this definition to reflect realistic scenarios in which adversaries may try to reverse a re-encryption by retaining information about prior ciphertexts and update tokens. We then strengthen the adversarial model to consider malicious adversaries that may collude with corrupt users and attempt to perform unauthorised re-encryptions; this models a malicious cloud service provider aiming to subvert the re-encryption process to leak sensitive data. Finally, we revisit the notion of authenticated encryption for PRE. This currently assumes the same party who created the message also encrypted it, which is not necessarily the case in re-encryption. We thus introduce the notion of ciphertext origin authentication to determine which party encrypted the message (or initiated the most recent re-encryption) and show how to fufil this requirement in practice

Raziel: Private and Verifiable Smart Contracts on Blockchains

Raziel combines secure multi-party computation and proof-carrying code to provide privacy, correctness and verifiability guarantees for smart contracts on blockchains. Effectively solving DAO and Gyges attacks, this paper describes an implementation and presents examples to demonstrate its practical viability (e.g., private and verifiable crowdfundings and investment funds). Additionally, we show how to use Zero-Knowledge Proofs of Proofs (i.e., Proof-Carrying Code certificates) to prove the validity of smart contracts to third parties before their execution without revealing anything else. Finally, we show how miners could get rewarded for generating pre-processing data for secure multi-party computation.Comment: Support: cothority/ByzCoin/OmniLedge

Fast and Secure Updatable Encryption

Updatable encryption allows a client to outsource ciphertexts to some untrusted server and periodically rotate the encryption key. The server can update ciphertexts from an old key to a new key with the help of an update token, received from the client, which should not reveal anything about keys or plaintexts to an adversary. We provide a new and highly efficient suite of updatable encryption schemes that we collectively call SHINE. In the variant designed for short messages, ciphertext generation consists of applying one permutation and one exponentiation (per message block), while updating ciphertexts requires just one exponentiation. Variants for longer messages provide much stronger security guarantees than prior work that has comparable efficiency. We present a new confidentiality notion for updatable encryption schemes that implies prior notions. We prove that SHINE is secure under our new confidentiality definition while also providing ciphertext integrity

Symmetric Primitives with Structured Secrets

Securely managing encrypted data on an untrusted party is a challenging problem that has motivated the study of a variety of cryptographic primitives. A special class of such primitives allows an untrusted party to transform a ciphertext encrypted under one key to a ciphertext under another key, using some auxiliary information that does not leak the underlying data. Prominent examples of such primitives in the symmetric-key setting are key-homomorphic PRFs, updatable encryption, and proxy re-encryption. Although these primitives differ significantly in terms of their constructions and security requirements, they share two important properties: (a) they have secrets with structure or extra functionality, and (b) all known constructions of these primitives satisfying reasonably strong definitions of security are based on concrete public-key assumptions, e.g., DDH and LWE. This raises the question of whether these objects inherently belong to the world of public-key primitives, or they can potentially be built from simple symmetric-key objects such as pseudorandom functions. In this work, we show that the latter possibility is unlikely. More specifically, we show that: • Any (bounded) key-homomorphic weak PRF with an abelian output group implies a (bounded) input-homomorphic weak PRF, which has recently been shown to imply not only public-key encryption (PKE), but also a variety of primitives such as PIR, lossy TDFs, and even IBE. • Any ciphertext-independent updatable encryption scheme that is forward and post-compromise secure implies PKE. Moreover, any symmetric-key proxy re-encryption scheme with reasonably strong security guarantees implies a forward and post-compromise secure ciphertext-independent updatable encryption, and hence PKE. In addition, we show that unbounded (or exact) key-homomorphic weak PRFs over abelian groups are impossible in the quantum world. In other words, over abelian groups, bounded key-homomorphism is the best that we can hope for in terms of post-quantum security. Our attack also works over other structured primitives with abelian groups and exact homomorphisms, including homomorphic one-way functions and input-homomorphic weak PRFs

SoK: Signatures With Randomizable Keys

Digital signature schemes with specific properties have recently seen various real-world applications with a strong emphasis on privacy-enhancing technologies. They have been extensively used to develop anonymous credentials schemes and to achieve an even more comprehensive range of functionalities in the decentralized web. Substantial work has been done to formalize different types of signatures where an allowable set of transformations can be applied to message-signature pairs to obtain new related pairs. Most of the previous work focused on transformations with respect to the message being signed, but little has been done to study what happens when transformations apply to the signing keys. A first attempt to thoroughly formalize such aspects was carried by Derler and Slamanig (ePrint \u2716, Designs, Codes and Cryptography \u2719), followed by the more recent efforts by Backes et. al (ASIACRYPT \u2718) and Eaton et. al (ePrint \u2723). However, the literature on the topic is vast and different terminology is used across contributions, which makes it difficult to compare related works and understand the range of applications covered by a given construction. In this work, we present a unified view of signatures with randomizable keys and revisit their security properties. We focus on state-of-the-art constructions and related applications, identifying existing challenges. Our systematization allows us to highlight gaps, open questions and directions for future research on signatures with randomizable keys

Updatable Oblivious Key Management for Storage Systems

We introduce Oblivious Key Management Systems (KMS) as a more secure alternative to traditional wrapping-based KMS that form the backbone of key management in large-scale data storage deployments. The new system, that builds on Oblivious Pseudorandom Functions (OPRF), hides keys and object identifiers from the KMS, offers unconditional security for key transport, provides key verifiability, reduces storage, and more. Further, we show how to provide all these features in a distributed threshold implementation that enhances protection against server compromise. We extend this system with updatable encryption capability that supports key updates (known as key rotation) so that upon the periodic change of OPRF keys by the KMS server, a very efficient update procedure allows a client of the KMS service to non-interactively update all its encrypted data to be decryptable only by the new key. This enhances security with forward and post-compromise security, namely, security against future and past compromises, respectively, of the client\u27s OPRF keys held by the KMS. Additionally, and in contrast to traditional KMS, our solution supports public key encryption and dispenses with any interaction with the KMS for data encryption (only decryption by the client requires such communication). Our solutions build on recent work on updatable encryption but with significant enhancements applicable to the remote KMS setting. In addition to the critical security improvements, our designs are highly efficient and ready for use in practice. We report on experimental implementation and performance

Revisiting Updatable Encryption: Controlled Forward Security, Constructions and a Puncturable Perspective

Updatable encryption (UE) allows a third party to periodically rotate encryption keys from one epoch to another without the need to download, decrypt, re-encrypt and upload already encrypted data by a client. Updating those outsourced ciphertexts is carried out via the use of so-called update tokens which in turn are generated during key rotation and can be sent (publicly) to the third party. The arguably most efficient variant of UE is ciphertext-independent UE as the key rotation does not depend on the outsourced ciphertexts which makes it particularly interesting in scenarios where access to (information of the) ciphertexts is not possible during key rotation. Available security notions for UE cannot guarantee any form of forward security (i.e., old ciphertexts are in danger after key leakage). Counter-intuitively, forward security would violate correctness, as ciphertexts should be updatable ad-infinitum given the update token. In this work, we investigate if we can have at least some form of controlled forward security to mitigate the following shortcoming: an adversary would record available information (i.e., some ciphertexts, all update tokens) and simply would wait for a single key leakage to decrypt all data ever encrypted. Our threefold contribution is as follows: a) First, we introduce an epoch-based UE CPA security notion to allow fine-grained updatability. It covers the concept of expiry epochs, i.e., ciphertexts can lose the ability of being updatable via a token after a certain epoch has passed. This captures the above mentioned shortcoming as the encrypting party can decide how long a ciphertext can be updatable (and, hence, decryptable). b) Second, we introduce a novel approach of constructing UE which significantly departs from previous ones and in particular views UE from the perspective of puncturable encryption (Green and Miers, S&P\u2715). We define tag-inverse puncturable encryption as a new variant that generalizes UE and may be of independent interest. c) Lastly, we present and prove secure the first UE scheme with the aforementioned properties. It is constructed via tag-inverse puncturable encryption and instantiated from standard assumptions. As it turned out, constructing such puncturing schemes is not straightforward and we require adapted proof techniques. Surprisingly, as a special case, this yields the first backwards-leak UE scheme with sub-linear ciphertexts from standard assumptions (an open problem posted in two recent works by Jiang Galteland and Pan & Miao et al., PKC\u2723)

Formal Models and Verified Protocols for Group Messaging: Attacks and Proofs for IETF MLS

Group conversations are supported by most modern messaging applications, but the security guarantees they offer are significantly weaker than those for two-party protocols like Signal. The problem is that mechanisms that are efficient for two parties do not scale well to large dynamic groups where members may be regularly added and removed. Further, group messaging introduces subtle new security requirements that require new solutions. The IETF Messaging Layer Security (MLS) working group is standardizing a new asynchronous group messaging protocol that aims to achieve strong guarantees like forward secrecy and post-compromise security for large dynamic groups. In this paper, we define a formal framework for group messaging in the F language and use it to compare the security and performance of several candidate MLS protocols up to draft 7. We present a succinct, executable, formal specification and symbolic security proof for TreeKEMB, the group key establishment protocol in MLS draft 7. Our analysis finds new attacks and we propose verified fixes, which are now being incorporated into MLS. Ours is the first mechanically checked proof for MLS, and our analysis technique is of independent interest, since it accounts for groups of unbounded size, stateful recursive data structures, and fine-grained compromise