In my case, I would need to do a lot of multiplications, therefore leading to the need of larger logN like 16,17 or maybe even 18. Hence, I would like to know what’s the range of logPQ for certain security level (128,196 etc.). I cant find a guide for selecting such large N.
What scheme are you using?
If you are using CKKS, it might be more efficient to bootstrap after consuming the multiplicative depth.
This paper has some parameters for up to N = 2^{17}.