Galois Finite Field Implementation in Python 3
Project description
Galois Field (GF) is a field contains a finite number of elements. There are 2 types of Galois Field:
- Prime Field (m = 1)
- Extension Field (m != 1)
In prime field, elements are integer within [0, p-1] range. Prime field have a prime p that limits our value so it will always be within the field.
In extension field, elements can be polynomials with maximum degree of (m-1). Extension field have a prime p and prime polynomial (irreducible) that limits our polynomial and its values so it will always be within the field.
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