# Math Help - Finite Field

1. ## Finite Field

What is meant by an element n is square in the finite field Fp.

2. Originally Posted by makenqau
What is meant by an element n is square in the finite field Fp.
What is the context? How is the fact that it is square used?

It could mean  $x=y^2$ for some $y \in \mathbb{F}_p$'. This halves' the underlying multiplicative group (the underlying group is cyclic of even order, and so with a bit of work you can see that precisely half of your non-zero elements are squares).