 Hello, I'd like to talk to you quickly about the Legendre pseudorandom function which is a An idea introduced by Damgard in 80 in a paper in 88 and it's a very simple construction. That's based on you just add Your key and your inputs and you compute the Legendre symbol of it And then you normalize it to be a bit and that gives you one pseudorandom bit And now the thing about this pseudorandom function it is very very friendly to NPCs which I quickly want to show because you can just compute some pseudorandom square and you basically just blind your value with it and Then you can compute this Legendre symbol in the open and if you add another random bit to this construction you can also blind the result and Further things why it might be interesting Is that if If there were so basically we don't know yet how good it is as a pseudorandom function It hasn't been analyzed very much, but say there was a key recovery algorithm Then that would imply there cannot be a fully homomorphic injective function on FP Because you can basically compute then using the homomorphic property the Legendre symbol of any element and that would break the one-way function property and Similarly with a similar trick you can also show that basically it would imply the equivalence of the discrete logarithm and the Diffie-Hellman assumption And so basically we at Ethereum because of this very friendly to where NPC property We are really interested in this PRF and we want to use it for some of our constructions at the moment and That's why I'm here to announce that we are going to have some bounties for breaking this PRF I heard there are many people here who like breaking stuff Well, you can win some bounties for doing it, especially if you break it completely as a PRF you can win ten thousand dollars and or Alternatively if you can show that somehow it can be reduced to some well-known Computational hardest assumption Yeah, and there are some more prices for either just any Algorithmic improvements or for the most interesting paper that's published on this PRF over the next year for more details go to lejanderprf.org and There are a few more details on these prices. Thank you