| Communications Toolbox | |
To illustrate what the array elements in a Galois array mean, the table below lists the elements of the field GF(8) as integers and as polynomials in a primitive element, A. The table should help you interpret a Galois array like
gf8 = gf([0:7],3); % Galois vector in GF(2^3)
| Integer Representation | Binary Representation | Element of GF(8) |
|---|---|---|
| 0 | 000 | 0 |
| 1 | 001 | 1 |
| 2 | 010 | A |
| 3 | 011 | A + 1 |
| 4 | 100 | A2 |
| 5 | 101 | A2 + 1 |
| 6 | 110 | A2 + A |
| 7 | 111 | A2 + A + 1 |
| | Example: Creating Galois Field Variables | How Integers Correspond to Galois Field Elements | |
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