What is a basic explanation of Finite Fields?

Question

I have zero background and I have never seen these symbols before. Can someone explain what is going on here?

Answer 1

In a simple explanation: A finite field, is a finite set, meaning multiplication, addition, subtraction and division are defined and follow the rules of field axioms. It contains a finite number of elements. A basic example of Finite Fields are

p = prime
modulo P 

If you are looking for more information, regarding programming with Finite Fields

See this source: https://jeremykun.com/2014/03/13/programming-with-finite-fields/

It might seem a bit wild, but if you read more about it, it will start to make sense. I'd also research into Finite Field Arithmetic.

I hope my answer was useful - yosh