What cryptoprotocol to implement?

Question

Cryptography

The essence of the problem: the university was asked to write an implementation of a cryptoprotocol that would be published, had more or less well-known authors, and, very desirable, would have researched its security.
The catch is that the teacher does not give a list of allowed cryptoprotocols, and for all the popular protocols that I would like to implement, they have an obstacle in the form of "students already did this in 20NN, so you can't take it."
So, we need a protocol that satisfies the above requirements and, preferably, with an implementation or something similar to it, although it is possible without it.
Perhaps someone has worked with something interesting and little known and can share their thoughts?

Answer 1

If "students have already done this in 20NN, so you can't take it," then only
https://eprint.iacr.org/curr/
will help you

Answer 2

I would personally be interested in investigating Keccak or another based on sponge function. Or from here (other algorithms) you can choose.