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Impossibility of Strong KDM Security with Auxiliary Input
KDM Security Impossibility
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2019/3/21
In this note, we show that a strong notion of KDM security cannot be obtained by any encryption scheme in the auxiliary input setting, assuming Learning With Errors (LWE) and one-way permutations. The...
Enhancements Are Blackbox Non-Trivial: Impossibility of Enhanced Trapdoor Permutations from Standard Trapdoor Permutations
Black-box separations Enhanced Trapdoor Permutations Trapdoor Permutations
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2018/11/9
Trapdoor permutations (TDP) are a fundamental primitive in cryptography. Over the years, several variants of this notion have emerged as a result of various applications. However, it is not clear whet...
Impossibility on Tamper-Resilient Cryptography with Uniqueness Properties
black-box separation simulatable attack tamper-resilience
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2018/6/5
In this work, we show negative results on the tamper-resilience of a wide class of cryptographic primitives with uniqueness properties, such as unique signatures, verifiable random functions, signatur...
Impossibility of Order-Revealing Encryption in Idealized Models
Black-box separations Order-revealing encryption Random oracle
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2017/10/16
An Order-Revealing Encryption (ORE) scheme gives a public procedure by which two ciphertext can be compared to reveal the order of their underlying plaintexts. The ideal security notion for ORE is tha...
Overcoming Cryptographic Impossibility Results using Blockchains
Blockchain Bitcoin Ethereum
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2017/9/26
Blockchain technology has the potential to disrupt how cryptography is done. In this work, we propose to view blockchains as an "enabler", much like indistinguishability obfuscation (Barak et al., CRY...
On the impossibility of entropy reversal, and its application to zero-knowledge proofs
statistical zero-knowledge proof entropy reversal black-box reduction
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2017/9/25
Zero knowledge proof systems have been widely studied in cryptography. In the statistical setting, two classes of proof systems studied are Statistical Zero Knowledge (SZK) and Non-Interactive Statist...
Impossibility of Secure Multi-Party Products in Non-Abelian Groups
foundations mpc
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2017/7/19
Suppose nn parties have respective inputs x1,…,xn∈Gx1,…,xn∈G, where GG is a finite group. The parties would like to privately compute x1x2⋯xnx1x2⋯xn (where multiplication refers to the gro...
PRF-ODH: Relations, Instantiations, and Impossibility Results
PRF-ODH key exchange
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2017/6/6
The pseudorandom-function oracle-Diffie–Hellman (PRF-ODH) assumption has been introduced recently to analyze a variety of DH-based key exchange protocols, including TLS 1.2 and the TLS 1.3 candidates,...
Impossibility of Simulation Secure Functional Encryption Even with Random Oracles
functional encryption simulation-based security random oracle model
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2016/12/8
In this work we study the feasibility of achieving simulation security in functional encryption (FE) in the
random oracle model. Our main result is negative in that we give a functionality for which ...
On the Impossibility of Merkle Merge Homomorphism
hash functions digital signature homomorphism
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2016/6/17
This work considers a theoretic problem of merging the digests of two ordered lists “homomorphically.” This theoretic problem has potential applications to efficient and verifiable data outsourcing, w...
Backdoors in Pseudorandom Number Generators: Possibility and Impossibility Results
Backdoor Surveillance PRNG with input
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2016/6/6
Inspired by the Dual EC DBRG incident, Dodis et al. (Eurocrypt
2015) initiated the formal study of backdoored PRGs, showing
that backdoored PRGs are equivalent to public key encryption schemes,
giv...
General Impossibility of Group Homomorphic Encryption in the Quantum World
Homomorphic Encryption Semantic Security Quantum Algorithms
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2016/1/26
Group homomorphic encryption represents one of the most
important building blocks in modern cryptography. It forms the basis of
widely-used, more sophisticated primitives, such as CCA2-secure encryp...
Impossibility of Black-Box Simulation Against Leakage Attacks
zero knowledge MPC resettability
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2016/1/6
In this work, we show how to use the positive results on succinct argument systems to
prove impossibility results on leakage-resilient black-box zero knowledge. This recently proposed
notion of zero...
On Non-Black-Box Simulation and the Impossibility of Approximate Obfuscation
obfuscation zero-knowledge resettable-security
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2015/12/31
The introduction of a non-black-box simulation technique by Barak (FOCS 2001) has been a major landmark in cryptography, breaking the previous barriers of black-box impossibility. Barak's technique ha...
On the Impossibility of Tight Cryptographic Reductions
tight security impossibility meta-reduction
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2015/12/31
The existence of tight reductions in cryptographic security proofs is an
important question, motivated by the theoretical search for cryptosystems whose
security guarantees are truly independent of ...