# A Lattice-Based Threshold Ring Signature Scheme

@inproceedings{Cayrel2010ALT, title={A Lattice-Based Threshold Ring Signature Scheme}, author={Pierre-Louis Cayrel and Richard Lindner and Markus R{\"u}ckert and Rosemberg Silva}, booktitle={LATINCRYPT}, year={2010} }

In this article, we propose a new lattice-based threshold ring signature scheme, modifying Aguilar's code-based solution to use the short integer solution (SIS) problem as security assumption, instead of the syndrome decoding (SD) problem. By applying the CLRS identification scheme, we are also able to have a performance gain as result of the reduction in the soundness error to 1/2 per round. Such gain is also maintained through the application of the Fiat-Shamir heuristics to derive signatures…

## 57 Citations

### Improved Lattice-Based Threshold Ring Signature Scheme

- Computer Science, MathematicsPQCrypto
- 2013

The ring signature induced by the particular case of only one signer is described and to the best of the knowledge, the resulted signatures are the most efficient lattice-based ring signature and threshold signature.

### A multivariate based threshold ring signature scheme

- Computer Science, MathematicsApplicable Algebra in Engineering, Communication and Computing
- 2013

This paper extends a new multivariate identification scheme, whose security is based solely on the MQ-Problem of solving systems of quadratic equations over finite fields, to a threshold ring identification and signature scheme, which is the first multivariate scheme of this type and generally one of thefirst multivariate signature schemes with special properties.

### Lattice-based Threshold Signature with Message Block Sharing

- Computer Science, Mathematics
- 2014

An interesting tool is introduced to construct the k-out-of-N threshold signature schemes, which are a protocol that approves any subset of k members among N members to produce a valid signature, but it is impossible to generate a valid signatures in case fewer thank members are involved in the protocol.

### A New Multivariate Based Threshold Ring Signature Scheme

- Computer Science, MathematicsNSS
- 2014

In CRYPTO 2011, Sakumoto et al. presented a 3-pass identification protocol whose security is solely based on the MQ problem. This identification protocol was extended to a threshold ring signature…

### An efficient code-based threshold ring signature scheme

- Computer Science, MathematicsJ. Inf. Secur. Appl.
- 2019

### RingRainbow - An Efficient Multivariate Ring Signature Scheme

- Computer Science, MathematicsAFRICACRYPT
- 2017

This paper proposes a simple and efficient technique to extend arbitrary multivariate signature schemes to ring signature schemes and illustrates it using the example of Rainbow, providing perfect anonymity for the signer, as well as shorter ring signatures than all previously proposed post-quantum ring signatures schemes.

### Anonymous Post-Quantum Cryptocash ? ( Full Version )

- Computer Science, Mathematics
- 2018

By adopting the short quantum-resistant linkable ring signature scheme, this system is anonymous and efficient, and the privacy of users is protected, even though their transactions are recorded in the public ledger.

### Anonymous Post-Quantum Cryptocash

- Computer Science, MathematicsIACR Cryptol. ePrint Arch.
- 2017

The privacy of users is protected, even though their transactions are recorded in the public ledger, by adopting the short quantum-resistant linkable ring signature scheme, which is anonymous and efficient.

### Lattice-based Multi-signature with Linear Homomorphism

- Computer Science, Mathematics
- 2016

The lattice-based linearly homomorphic signature is extended to have multiple signers with the security proof and holds multi-unforgeability and weakly context hiding property and is shown to be provably secure in the random oracle model under k-Small Integer Solution problem assuming the soundness of Boneh and Freeman's signature.

### Lattice-based Threshold Ring Signature with Message Block Sharing

- Computer Science, MathematicsKSII Trans. Internet Inf. Syst.
- 2019

This work presents a lattice-based threshold ring signature scheme, employing the technique of message block sharing proposed by Choi and Kim, and proposed a message processing technique called “pad-then-permute”, to pre-process the message before blocking the message, thus making the threshold ring signatures scheme more flexible.

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