I have a large number of items with a unique serial number and a score (score isn't always unique).
There is a list which contains all of the serial numbers and their respective scores.
I select 3 items at random, and have to prove:
- That all three items are in the list
- The total of the scores exceeds a predefined global number X
This has to be done without revealing what the original serial numbers or scores were.
All the answers I've seen haven't been applicable to this scenario because they all seem to rely on the fact that a list is a group that has generators, but my list isn't.