GF(p) and GF(2ⁿ) Arithmetic Visualized as Color Tables
Operation
Prime p
Color scheme
GF(p) = integers mod p under + and ×. Each cell (x,y) shows the chosen operation.
Multiplication table: note the subgroup structure, quadratic residues (symmetric diagonals).
The Legendre symbol (a|p) = a^((p-1)/2) mod p reveals quadratic residues (+1) and non-residues (−1).