In this work, we ask whether it is possible to get the best of both worlds: (Q1) Are there linear threshold secret sharing schemes that admit small shares and ...
Apr 4, 2021 · This property is critical for security of certain applications in lattice-based cryptography. We show that any such scheme must use (nlogn) ...
We prove upper and lower bounds on the share size of such schemes, where the size is measured by the total number of field elements distributed to the parties.
Feb 16, 2024 · It is a t-out-of-n threshold scheme. When the secret has l bits, the shares have l/t+λ bits, where λ is the computational security parameter.
Dec 13, 2018 · However the paper considers only a privacy threshold t, and reconstruction is from the full share set (r = N always). Their goal is to achieve ...
Nov 26, 2017 · First try: desk clerks get one share each, colonels get two, generals get three, and eleven shares are required to unlock the secret. That doesn't work.
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Feb 2, 2024 · Abstract. The threshold secret sharing scheme allows the dealer to distribute the share to every participant such that the secret is.
Jun 27, 2024 · In our work, we present a new framework to build secret sharing schemes that can rely on linear erasure codes with weaker correct- ness ...
Sep 7, 2020 · Linear schemes. A secret sharing scheme is linear if the reconstruction procedure is a linear function of the shares (over a finite field).
A threshold scheme is a particular form of a secret-sharing scheme in which any group of at least a specific number of participants (called the threshold) can ...