Privacy-Aware Range Proofs using Borromean Ring Signatures

In 2018, Poelstra et al. defined a range-proof method that uses a ring signature —and focused on Borromean Ring Signatures (BRS) [1][here]:

Let’s create a privacy-preserving range proof using BRS.

Borromean Ring Signatures

In 2015, Georgy Maxwell and Andrew Poelstra published a classic paper on the Borromean Ring Signature [here][2]:

A Borromean ring, in maths, is defined as three closed curves that cannot be separated from each other but can be unknotted when one of the rings is cut or removed.

Ring signatures

And so there has been a leak of information at the White House. Donald Trump calls in his Cyber Security leads, and tells them, “I know one of you leaked the information, but I can’t tell which one”. How can Donald tell that one of his leads has leaked the information, but not know which one? Well, this can be achieved with a ring signature, and which…