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Bivariate Proximity Test-Based Asynchronous Verifiable Secret Sharing

delete2026-01-01
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PRE
AI
D
Daniel Augot
O
Olivier Blazy
H
Hugo Delavenne
L
Lola-Baie Mallordy *
DOI:10.1007/978-3-031-97260-7_15delete
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Abstract

Abstract

En 中文
We present an Asynchronous Verifiable Secret Sharing (AVSS) protocol leveraging Interactive Oracle Proofs of Proximity (IOPPs). By integrating an IOPP to the product of Reed-Solomon codes i.e., to bivariate polynomials, we achieve strong agreement properties while maintaining efficiency: our scheme achieves a total communication complexity of O(n(2)) for the dealer and O(n log(2) (n)) per party, and a computational complexity of only O(n log(n)) per party. It provides optimal resilience i.e., is secure against up to t < n/3 corrupted parties. Furthermore, our construction is resistant against post-quantum adversaries, as its security relies solely on the security of the underlying hash functions.
Keywords:
Hash-based
Verifiable Secret Sharing
Asynchronous
Coding Theory
Multivariate IOPP
Polynomial Commitment Scheme

Journal

P
PROGRESS IN CRYPTOLOGY-AFRICACRYPT 2025
IF:
0
Papers:
20
Citations:
0

Organization

I
institut polytechnique de paris
Scholars:
1.3W
Papers: 1.0W
Citations: 6