That's probably the exact article where I first heard about it using polynomials. Perhaps it uses something like Shamir's secret sharing.

I found a Reddit post that explains most of the algorithm, but not much to do with polynomials. https://www.reddit.com/r/evnova/comments/g3ie3x/ambrosia_and...

(P.S., I did pay my registration fee for Uplink. Thanks for porting it!)