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hello my name is antonio lumanis iamp;#39;m a phd student at university of campinas and i will present our work title revisiting the functional bootstrap in the fhg so a little bit of context the current fhe schemes are capable of evaluating linear arithmetic circuits in very efficient ways however non-linear functions are still a challenge for them especially with high precision some to systems such as ckes they implement nonlinear functions using approximations for example t or for ea and check chevy series they achieve relatively good performance because you can evaluate them in batches using synthetic computations however if you need to evaluate functions with high precision the cost of this approximation would grow super linearly and sometimes explanation and it could become prohibitive caffeine on the other hand implements circuits using binary logic gates which can implement basically any function at any desired procedure however complex functions require a very large number of