# A Note on the Post-Quantum Security of (Ring) Signatures

@inproceedings{Chatterjee2021ANO, title={A Note on the Post-Quantum Security of (Ring) Signatures}, author={Rohit Chatterjee and Kai-Min Chung and Xiao Liang and Giulio Malavolta}, booktitle={IACR Cryptology ePrint Archive}, year={2021} }

This work revisits the security of classical signatures and ring signatures in a quantum world. For (ordinary) signatures, we focus on the arguably preferable security notion of blind-unforgeability recently proposed by Alagic et al. (Eurocrypt’20). We present two short signature schemes achieving this notion: one is in the quantum random oracle model, assuming quantum hardness of SIS; and the other is in the plain model, assuming quantum hardness of LWE with super-polynomial modulus. Prior to…

## References

SHOWING 1-10 OF 76 REFERENCES

### Quantum-access security of the Winternitz one-time signature scheme

- Computer Science, MathematicsIACR Cryptol. ePrint Arch.
- 2021

This work revisits, and fills a gap in, the quantum-access security analysis of the Lamport one-time signature scheme (OTS) in the quantum random oracle model (QROM) by Alagic et al. and develops a tool for the analysis of hash chains in the QROM based on the superposition oracle technique by Zhandry.

### Compact Ring Signatures from Learning With Errors

- Computer Science, MathematicsIACR Cryptol. ePrint Arch.
- 2021

The first compact ring signature scheme from the (plain) learning with errors (LWE) problem is presented, with a new construction of compact and statistically witness indistinguishable ZAP arguments for NP ∩ coNP, that is shown to be sound based on the plain LWE assumption.

### Post-Quantum Multi-Party Computation

- Computer Science, MathematicsIACR Cryptol. ePrint Arch.
- 2020

The main result is a construction of *constant-round* post-quantum multi-party computation, and a new straight-line non-black-box simulation technique against *parallel* verifiers that does not clone the adversary's state.

### Adapting Lyubashevsky's Signature Schemes to the Ring Signature Setting

- Computer Science, MathematicsAFRICACRYPT
- 2013

This paper transforms the scheme of ASIACRYPT 2009 into a ring signature scheme that provides strong properties of security under the random oracle model and provides a variant in which unforgeability is ensured against insider corruption attacks for arbitrary rings.

### Indistinguishability Obfuscation of Null Quantum Circuits and Applications

- Computer Science, MathematicsITCS
- 2022

It is shown how quantum null-iO enables a series of new cryptographic primitives that, prior to this work, were unknown to exist even making heuristic assumptions.

### Quantum Attacks on Classical Proof Systems: The Hardness of Quantum Rewinding

- Computer Science, Mathematics2014 IEEE 55th Annual Symposium on Foundations of Computer Science
- 2014

It is shown that classically secure proofs and proofs of knowledge are insecure in the quantum setting, and the "pick-one trick" is developed, a general technique that allows an adversary to find one value satisfying a given predicate, but not two.

### A Framework for Efficient Signatures, Ring Signatures and Identity Based Encryption in the Standard Model

- Computer Science, MathematicsIACR Cryptol. ePrint Arch.
- 2010

This work shows a transformation taking a signature scheme with a very weak security guarantee and producing a fully secure signature scheme, and shows that ring trapdoor functions imply ring signatures under a weak definition, which enables the transformation to achieve full security.

### Secure Identity-Based Encryption in the Quantum Random Oracle Model

- Computer Science, MathematicsCRYPTO
- 2012

This work gives the first proof of security for an identity-based encryption (IBE) scheme in the quantum random oracle model and argues that the aforementioned cryptosystems are secure against quantum adversaries.

### Semantic Security and Indistinguishability in the Quantum World

- Computer Science, MathematicsIACR Cryptol. ePrint Arch.
- 2015

This work shows that stronger notions of indistinguishability are achievable, and provides a secure construction based on quantum-resistant pseudorandom permutations that can be used as a generic transformation for turning a large class of encryption schemes into quantum indistinguishable and hence quantum semantically secure ones.

### On the Security Notions for Encryption in a Quantum World

- Computer Science, MathematicsIACR Cryptol. ePrint Arch.
- 2020

The security of quantum-secure classical encryption has first been studied by Boneh and Zhandry, but they restricted the adversary to classical challenge queries, which makes the indistinguishability only hold for classical messages (IND-qCCA2).