Hai H. Nguyen

Local Leakage Resilience of Shamir Secret Sharing: Below Half Threshold Rate

We study the local leakage resilience of Shamir secret sharing, where an adversary leaks a bounded number of bits from every share. For $n$ parties and reconstruction threshold $k$ over a prime field $\mathbb{F}_p$ with $p>n$, we prove the following. (1) There is an absolute constant $c_{\mathrm{bh}}<1/2$ such that, fo...