Improved Local Leakage Resilience of Shamir Secret Sharing and Worst-Case Optimal Polynomial Intersection
Theoretical advance tightens leakage-resilience guarantees for Shamir secret sharing, strengthening the provable security basis of threshold-cryptography deployments.
Summary written by editorial AI · Source link below
arXiv:2610.12357v1 Announce Type: cross Abstract: We study two problems: Local Leakage Resilience (LLR) for Shamir secret sharing, and worst-case Optimal Polynomial Intersection (OPI). Both problems concern polynomials $Q(X)$ of degree less than $k$, over a prime-order finite field $\mathbb{F}_p$. In LLR for Shamir secret sharing, one asks how much one can learn about $Q(0)$ given a few bits leaked from each of $Q(\alpha_1), \ldots, Q(\alpha_n)$, for distinct non-zero evaluation points $\alpha_
Editorial Analysis
Stronger provable bounds for secret-sharing schemes improve confidence in threshold-based key management systems used across enterprise HSMs and multi-party computation setups.
Forward-looking interpretation drafted by editorial AI under human review — not a reproduction of the source. See methodology.
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