Table 1 A quasigroup \((Q,*)\) of order p kd
From: An algorithm for judging and generating multivariate quadratic quasigroups over Galois fields
* | 0 | 1 | 2 | \(\ldots\) | \(p^{kd}-1\) |
|---|---|---|---|---|---|
0 | \(q^{(0)}_0\) | \(q^{(0)}_1\) | \(q^{(0)}_2\) | \(\cdots\) | \(q^{(0)}_{p^{kd}-1}\) |
1 | \(q^{(1)}_0\) | \(q^{(1)}_1\) | \(q^{(1)}_2\) | \(\cdots\) | \(q^{(1)}_{p^{kd}-1}\) |
2 | \(q^{(2)}_0\) | \(q^{(2)}_1\) | \(q^{(2)}_2\) | \(\cdots\) | \(q^{(2)}_{p^{kd}-1}\) |
\(\vdots\) | \(\vdots\) | \(\vdots\) | \(\vdots\) | \(\vdots\) | \(\vdots\) |
\(p^{kd}-1\) | \(q^{(p^{kd}-1)}_0\) | \(q^{(p^{kd}-1)}_1\) | \(q^{(p^{kd}-1)}_2\) | \(\cdots\) | \(q^{(p^{kd}-1)}_{p^{kd}-1}\) |