# Efficient fields over arithmetic circuits

What sort of fields is efficient over an arithmetic circuit?

Efficient meaning that given a field $$\mathbb{F}_p$$, reduction (modulo) does not require many multiplications and preferably inversion was cheap.

• The size and value of the $p$ determine the answer, otherwise, this question is too broad. – kelalaka Apr 24 at 7:57
• @kelalaka the size of p would be roughly 256 bits, the field will most likely be derived from an elliptic curve – WeCanBeFriends Apr 24 at 11:06