20240322 ETHTaipei Workshop_ZKBankai @G Part 6

= coming quotient is one and then we have Al okay what is4 in F1 uh what makes when you add something to4 let's say if you add 11 to4 what do you get 7 7even so4 basically equalent to 7 right so this is 7 right uh so we have e and then bring seven al1 so I is one here right this is Alpha minus one so this is 1 is 10 something so our C5 is what C5 is 10 correct from the from the beginning 10 + 7 this is commit so we have 10 + 7 forgot to tell you P function we chose is XY linear so this basically becomes uh this is 10 + 7 G G and here we have on other side 1A Alp G so 7 * G is uh 14 and then G is two uh here we have one alpha G is what 6 okay so we have 10 + 14 is how much 24 and if you have a pay function XY 24 * 2 is 48 48 is equalent to 4 and on the other side we have 6 + 20 26 so this is 1 and 26 our ping is XY so this is 26 26 = to so this check so essentially that's what uh so this proves that they know whatever opening is done if you give me one more minute I wanted to uh pick somebody who is a hacker uh what happens when let's say Alpha actually leaks right if Alpha actually leads uh then we're in do TR so who wants to be a hacker who wants to be J wants to be a hacker all right great so here let's say you know Jord knows Alpha what basically Jord does he comes up with the other polom because our virtual PO is this he comes with other polom where the commitment is exact so for example this is our P1 right uh let's Pi some point let's say P1 three so three is I'm write down here this is 49 going to 44 j j j knows how to hack so J comes up with another which is uh know very simple the values to exactly the same coming so if you put open at the same point you will get 49 which B what basically means here is uh this basically breaks The Binding property of comment so J knows how to uh how to have and take everybody's M so that's why it's very very important to uh to delete the alha and the all right that's it down lot so there are a lot of varations of kg I I say fully open par open uh single po multile openings A bash mode multiple multile opening a bash mode uh the the fail properties are very very useful to actually construct a linear dependency on these multiple openings so this is kg by had uh thank you so much if you have any questions there's a lot more thank you thank you n thank you Daniel thank you jny thank you s thank you thanks all for the sessions thank you all for attending it yeah that would be all for today and yeah do follow ZK B on Twitter and thank you scr for helping us organize this anyone we would love swags all yeah thank you be did it oh my God that's a lot