Addition Table for GF(4)
+-------++-------+-------+-------+-------+
| + || 0 | 1 | x | x + 1 |
+=======++=======+=======+=======+=======+
| 0 || 0 | 1 | x | x + 1 |
+-------++-------+-------+-------+-------+
| 1 || 1 | 0 | x + 1 | x |
+-------++-------+-------+-------+-------+
| x || x | x + 1 | 0 | 1 |
+-------++-------+-------+-------+-------+
| x + 1 || x + 1 | x | 1 | 0 |
+-------++-------+-------+-------+-------+
Multiplication Table for GF(4)
+-------++---+-------+-------+-------+
| * || 0 | 1 | x | x + 1 |
+=======++===+=======+=======+=======+
| 0 || 0 | 0 | 0 | 0 |
+-------++---+-------+-------+-------+
| 1 || 0 | 1 | x | x + 1 |
+-------++---+-------+-------+-------+
| x || 0 | x | x + 1 | 1 |
+-------++---+-------+-------+-------+
| x + 1 || 0 | x + 1 | 1 | x |
+-------++---+-------+-------+-------+