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arXiv · 2608.26792

Thresholding Post-Quantum Signatures

Francesco De Sclavis·Matteo Nardelli·Marco Pedicini
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Abstract

Threshold signature schemes distribute the signing process among $T$ parties out of $N$. They enable a variety of applications and their research is also motivated by a recent NIST call. However, applications are dominated by pre-quantum signatures, which are more efficient but not secure in the post-quantum setting. This paper investigates existing post-quantum signatures, based on a variety of paradigms: lattice problems, one-way (hash) functions, cryptographic group actions, isogenies and multivariate systems. We propose a classification (divided by paradigm) of existing tools that are used to build $T$-out-of-$N$ schemes from digital signatures. We also include general approaches based on FHE, MPC or ZKP.

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Francesco De Sclavis, Matteo Nardelli, Marco Pedicini. 2026-08-27. Thresholding Post-Quantum Signatures. https://arxiv.org/abs/2608.26792

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