Functional Encryption (FE) is a powerful notion of encryption which enables computations and partial message recovery of encrypted data. In FE, each decryption key is associated with a function $f$ such that decryption recovers the function evaluation $f(m)$ from an encryption of $m$. Informally, security states that a user with access to function keys $\mathsf{sk}_{f_1}, \mathsf{sk}_{f_2}, \ldots$ (and so on) can only learn $f_1(m), f_2(m), \ldots$ (and so on) but nothing more about the...

We present a pairing-based traitor tracing scheme for $N$ users with$$ |\mathsf{pk}| = |\mathsf{ct}| = O(N^{1/3}), \quad |\mathsf{sk}| = O(1). $$This is the first pairing-based scheme to achieve ${|\mathsf{pk}|\cdot|\mathsf{sk}|\cdot|\mathsf{ct}|=o(N)}$. Our construction relies on the (bilateral) $k$-Lin assumption, and achieves private tracing and full collusion resistance. Our result simultaneously improves upon the sizes of $\mathsf{pk},\mathsf{ct}$ in Boneh–Sahai–Waters...

Copy-protection is the task of encoding a program into a quantum state to prevent illegal duplications. A line of recent works studied copy-protection schemes under ``1 -> 2 attacks'': the adversary receiving one program copy can not produce two valid copies. However, under most circumstances, vendors need to sell more than one copy of a program and still ensure that no duplicates can be generated. In this work, we initiate the study of collusion resistant copy-protection in the plain model....

Functional Encryption (FE) is a powerful notion of encryption which enables computations and partial message recovery of encrypted data. In FE, each decryption key is associated with a function $f$ such that decryption recovers the function evaluation $f(m)$ from an encryption of $m$. Informally, security states that a user with access to function keys $sk_{f_1}, sk_{f_2}, \ldots$ (and so on) can only learn $f_1(m), f_2(m), \ldots$ (and so on) but nothing more about the message. The system...

The main goal of traceable cryptography is to protect against unauthorized redistribution of cryptographic functionalities. Such schemes provide a way to embed identities (i.e., a "mark") within cryptographic objects (e.g., decryption keys in an encryption scheme, signing keys in a signature scheme). In turn, the tracing guarantee ensures that any "pirate device" that successfully replicates the underlying functionality can be successfully traced to the set of identities used to build the...

Attribute-Based Encryption (ABE) is a cryptographic primitive which supports fine-grained access control on encrypted data, making it an appealing building block for many applications. Multi-Authority Attribute-Based Encryption (MA-ABE) is a generalization of ABE where the central authority is distributed across several independent parties. We provide the first MA-ABE scheme from prime-order pairings where no trusted setup is needed and where the attribute universe of each authority is...

Both ring signatures and group signatures are useful privacy tools, allowing signers to hide their identities within a set of other public keys, while allowing their signatures to be validated with respect to the entire set. Group signature schemes and revocable ring signature schemes both provide the additional ability for certain authorized members to revoke the anonymity on a signature and reveal the true signer—allowing management of abuse in the scheme. This work consists of two parts....

We show that indistinguishability obfuscation (IO) for all circuits can be constructed solely from secret-key functional encryption (SKFE). In the construction, SKFE needs to be secure against an unbounded number of functional key queries, that is, collusion-resistant. Our strategy is to replace public-key functional encryption (PKFE) in the construction of IO proposed by Bitansky and Vaikuntanathan (FOCS 2015) with puncturable SKFE. Bitansky and Vaikuntanathan introduced the notion of...

A software watermarking scheme can embed a message into a program without significantly changing its functionality. Moreover, any attempt to remove the embedded message in a marked program will substantially change the functionality of the program. Prior constructions of watermarking schemes focus on watermarking cryptographic functions, such as pseudorandom function (PRF), public key encryption, etc. A natural security requirement for watermarking schemes is collusion resistance, where the...

Constrained pseudorandom functions (CPRFs) allow learning ``constrained'' PRF keys that can evaluate the PRF on a subset of the input space, or based on some predicate. First introduced by Boneh and Waters [AC’13], Kiayias et al. [CCS’13] and Boyle et al. [PKC’14], they have shown to be a useful cryptographic primitive with many applications. These applications often require CPRFs to be adaptively secure, which allows the adversary to learn PRF values and constrained keys in an arbitrary...

Attribute-based proxy re-encryption (ABPRE) allows a semi-trusted proxy to transform an encryption under an access-policy into an encryption under a new access policy, without revealing any information about the underlying message. Such a primitive facilitates fine-grained secure sharing of encrypted data in the cloud. In its key-policy flavor, the re-encryption key is associated with an access structure that specifies which type of ciphertexts can be re-encrypted. Only two attempts have...

A decentralized multi-authority anonymous authentication scheme that is suitable for IoT and blockchains is proposed, in which a prover and a verifier are non-interactive. The proposed scheme can treat dynamically increasing/decreasing independent attribute authorities. When an entity wants the authorities to issue attribute credentials, the authorities only have to generate digital signatures on her global identity. Two security definitions are given; resistance against...

A software watermarking scheme enables users to embed a message or mark within a program while preserving its functionality. Moreover, it is difficult for an adversary to remove a watermark from a marked program without corrupting its behavior. Existing constructions of software watermarking from standard assumptions have focused exclusively on watermarking pseudorandom functions (PRFs). In this work, we study watermarking public-key primitives such as the signing key of a digital signature...

In this work, we propose new predicate encryption schemes for zero inner-product encryption (ZIPE) and non-zero inner-product encryption (NIPE) predicates from prime-order bilinear pairings, which are both attribute and function private in the public-key setting. Our ZIPE scheme is adaptively attribute private under the standard Matrix DDH assumption for unbounded collusions. It is additionally computationally function private under a min-entropy variant of the Matrix DDH assumption for...

Cloud storage enables its users to store confidential information as encrypted files in the cloud. A cloud user (say Alice) can share her encrypted files with another user (say Bob) by availing proxy re-encryption services of the cloud. Proxy Re-Encryption (PRE) is a cryptographic primitive that allows transformation of ciphertexts from Alice to Bob via a semi-trusted proxy, who should not learn anything about the shared message. Typically, the re-encryption rights are enabled only for a...

Constrained pseudorandom functions (CPRFs) allow learning "constrained" PRF keys that can evaluate the PRF on a subset of the input space, or based on some sort of predicate. First introduced by Boneh and Waters [AC'13], Kiayias et al. [CCS'13] and Boyle et al. [PKC'14], they have been shown to be a useful cryptographic primitive with many applications. The full security definition of CPRFs requires the adversary to learn multiple constrained keys in an arbitrary order, a requirement for...

Constrained pseudorandom functions (CPRFs) are a type of PRFs that allows one to derive a constrained key $\mathsf{K}_C$ from the master key $\mathsf{K}$. While the master key $\mathsf{K}$ allows one to evaluate on any input as a standard PRF, the constrained key $\mathsf{K}_C$ only allows one to evaluate on inputs $x$ such that $C(x) = 1$. Since the introduction of CPRFs by Boneh and Waters (ASIACRYPT'13), Kiayias et al. (CCS'13), and Boyle et al. (PKC'14), there have been various...

Constrained pseudorandom functions (CPRFs) allow learning modified PRF keys that can evaluate the PRF on a subset of the input space, or based on some sort of predicate. First introduced by Boneh and Waters [Asiacrypt 2013], they have been shown to be a useful cryptographic primitive with many applications. The full security definition of CPRFs requires the adversary to learn multiple constrained keys, a requirement for all of these applications. Unfortunately, existing constructions of...

We propose a generic construction of a $\Sigma$-protocol of commit-and-prove type, which is an AND-composition of $\Sigma$-protocols on statements that include a common commitment. Our protocol enables a prover to convince a verifier that the prover knows a bundle of witnesses that have a common component which we call a base witness point. When the component $\Sigma$-protocols are of witness-indistinguishable argument systems, our $\Sigma$-protocol is also a witness-indistinguishable...

Private linear key agreement (PLKA) enables a group of users to agree upon a common session key in a broadcast encryption (BE) scenario, while traitor tracing (TT) system allows a tracer to identify conspiracy of a troop of colluding pirate users. This paper introduces a key encapsulation mechanism in BE that provides the functionalities of both PLKA and TT in a unified cost-effective primitive. Our PLKA based traitor tracing offers a solution to the problem of achieving full collusion...

A cryptographic watermarking scheme embeds a message into a program while preserving its functionality. Recently, a number of watermarking schemes have been proposed, which are proven secure in the sense that given one marked program, any attempt to remove the embedded message will substantially change its functionality. In this paper, we formally initiate the study of collusion attacks for watermarking schemes, where the attacker’s goal is to remove the embedded messages given multiple...

In this work we seek to construct collusion-resistant traitor tracing systems with small ciphertexts from standard assumptions that also move toward practical efficiency. In our approach we will hold steadfast to the principle of collusion resistance, but relax the requirement on catching a traitor from a successful decoding algorithm. We define a $f$-risky traitor tracing system as one where the probability of identifying a traitor is $f(\lambda,n)$ times the probability a successful box is...

We show how to construct secret-key functional encryption (SKFE) supporting unbounded polynomially many functional decryption keys, that is, collusion-resistant SKFE solely from SKFE supporting only one functional decryption key. The underlying single-key SKFE needs to be weakly succinct, that is, the size of its encryption circuit is sub-linear in the size of functions. We show we can transform any quasi-polynomially secure single-key weakly-succinct SKFE into quasi-polynomially secure...

We present two general constructions that can be used to combine any two functional encryption (FE) schemes (supporting a bounded number of key queries) into a new functional encryption scheme supporting a larger number of key queries. By using these constructions iteratively, we transform any primitive FE scheme supporting a single functional key query (from a sufficiently general class of functions) and has certain weak compactness properties to a collusion-resistant FE scheme with the...

Secure group communication in wireless sensors networks (WSN) is a critical issue. Self-healing mechanism is that nodes in WSN can recover the lost session keys without requiring anything to the group manager (GM). Self-healing can be applied to key management, which can efficiently achieve the secure group communication. In 2015, Sun {\em et al.} proposed a self-healing group key distribution (SGKD) scheme based on access polynomial and sliding-window in WSN, and they claim that the...

Recently, in Journal of Security and Communication Networks (5(12):1363-1374, DOI: 10.1002/sec.429), Wang et al. proposed a group key distribution scheme with self-healing property for wireless networks in which resource is constrained. They claimed that their key distribution scheme satisfies forward security, backward security and can resist collusion attack. Unfortunately, we found some security flaws in their scheme. In this paper, we present a method to attack this scheme. The attack...

Attribute-based signatures, introduced by Maji \emph{et al.}, are signatures that prove that an authority has issued the signer ``attributes'' that satisfy some specified predicate. In existing attribute-based signature schemes, keys are valid indefinitely once issued. In this paper, we initiate the study of incorporating time into attribute-based signatures, where a time instance is embedded in every signature, and attributes are restricted to producing signatures with times that fall in...

The future development of quantum-computers could turn many key agreement algorithms used in the Internet today fully insecure, endangering many applications such as online banking, e-commerce, e-health, etc. At the same time, the Internet is further evolving to enable the Internet of Things (IoT) in which billions of devices deployed in critical applications like healthcare, smart cities and smart energy are being connected to the Internet. The IoT not only requires strong and...

Participatory sensing enables new paradigms and markets for information collection based on the ubiquitous availability of smartphones, but also introduces privacy challenges for participating users and their data. In this work, we review existing security models for privacy-preserving participatory sensing and propose several improvements that are both of theoretical and practical significance. We first address an important drawback of prior work, namely the lack of consideration of...

In the field of collusion-resistant traitor tracing, Oosterwijk et al. recently determined the optimal suspicion function for simple decoders. Earlier, Moulin also considered another type of decoder: the generic joint decoder that compares all possible coalitions, and showed that usually the generic joint decoder outperforms the simple decoder. Both Amiri and Tardos, and Meerwald and Furon described constructions that assign suspicion levels to $c$-tuples, where $c$ is the number of...

In past years a body of data integrity checking techniques have been proposed for securing cloud data services. Most of these work assume that only the data owner can modify cloud-stored data. Recently a few attempts started considering more realistic scenarios by allowing multiple cloud users to modify data with integrity assurance. However, these attempts are still far from practical due to the tremendous computational cost on cloud users. Moreover, collusion between misbehaving cloud...

We investigate alternative suspicion functions for bias-based traitor tracing schemes, and present a practical construction of a simple decoder that attains capacity in the limit of large coalition size $c$. We derive optimal suspicion functions in both the Restricted-Digit Model and the Combined-Digit Model. These functions depend on information that is usually not available to the tracer -- the attack strategy or the tallies of the symbols received by the colluders. We discuss how such...

This paper introduces a new key establishment scheme aiming at fully collusion-resistant identity-based symmetric-key agreement. In an identity-based pairwise key agreement scheme, a Trusted Third Party (TTP) manages the system and securely provides any node, e.g., Alice or Bob, with private keying materials. Alice can generate a pairwise key with Bob given her own secret keying material and Bob's identity. The full collusion resistance property would ensure that the scheme remains secure...

We propose a Multi-Authority Attribute-Based Encryption (ABE) system. In our system, any party can become an authority and there is no requirement for any global coordination other than the creation of an initial set of common reference parameters. A party can simply act as an ABE authority by creating a public key and issuing private keys to different users that reflect their attributes. A user can encrypt data in terms of any boolean formula over attributes issued from any chosen set of...

We propose a new encryption scheme that supports joint fingerprinting and decryption. The scheme is remarkably resistant to known-plaintext attack and collusion attack (e.g. average attack or other linear combination attack) on keys. Interestingly, the security of our scheme is relied on a lattice problem: Given a collection of random lattice points generated from a short basis of a lattice, find the short basis. The scheme can be used as a traitor-tracing scheme or a buyer-seller...

We introduce a new attack model for collusion secure codes, and analyze the collusion resistance of two version of the Tardos code in this model, both for binary and non-binary alphabets. The model allows to consider signal processing and averaging attacks via a set of symbol detection error rates. The false positive rate is represented as a single number; the false negative rate is a function of the false positive rate and of the number of symbols mixed by the colluders. We study two...

In a proxy re-encryption scheme, a semi-trusted proxy can transform a ciphertext under Alice's public key into another ciphertext that Bob can decrypt. However, the proxy cannot access the plaintext. Due to its transformation property, proxy re-encryption can be used in many applications, such as encrypted email forwarding. In this paper, by using signature of knowledge and Fijisaki-Okamoto conversion, we propose a proxy re-encryption scheme \emph{without} pairings, in which the proxy can...

We introduce a new and versatile cryptographic primitive called {\em Attribute-Based Signatures} (ABS), in which a signature attests not to the identity of the individual who endorsed a message, but instead to a (possibly complex) claim regarding the attributes she posseses. ABS offers: * A strong unforgeability guarantee for the verifier, that the signature was produced by a {\em single} party whose attributes satisfy the claim being made; i.e., not by a collusion of individuals who pooled...

We present hierarchical identity-based encryption schemes and signature schemes that have total collusion resistance on an arbitrary number of levels and that have chosen ciphertext security in the random oracle model assuming the difficulty of the Bilinear Diffie-Hellman problem.