[Resource Topic] 2023/333: Secret Sharing Scheme with Perfect Concealment

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Title:
Secret Sharing Scheme with Perfect Concealment

Authors: Izumi Takeuti, Tomoko Adachi

Abstract:

In 1979, Shamir and Blakley introduced secret sharing schemes to provide both security and reliability.
In this study, we construct two secret sharing schemes with perfect concealment.
The first is an ((n,n))-threshold scheme by a group.
Although the scheme itself is already known, we prove that its concealment is perfect.
We propose the second as a new ((2,n))-threshold scheme by a quasigroup.

ePrint: https://eprint.iacr.org/2023/333

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