# Classification of BFV and CKKS scheme?

I would just like to ask what is the classification of both BFV and CKKS scheme are they Somewhat Homomorphic or Fully Homomorphic?

Brakerski/Fan-Vercauteren (BFV) [Brakerski12, FV12, BEHZ16, HPS18] https://eprint.iacr.org/2012/144.pdf

Cheon-Kim-Kim-Song (CKKS) [CKKS17] https://eprint.iacr.org/2016/421.pdf

• Which scheme are those? Could you please provide links to the exact version you are asking about? – Hilder Vitor Lima Pereira Aug 19 '19 at 16:46

Both schemes are presented as Leveled Homomorphic Encryption schemes, which means that for each $$L$$, there is at least a set of parameters ($$\lambda$$, $$q$$, etc) that allows us to homomorphically evaluate circuits of multiplicative depth up to $$L$$ (and the reciprocal also holds, i.e. for each set of parameters, there is a limit $$L$$ on the multiplicative depth of the circuits that can be evaluated).