Table 1 Computing a pool \(\ell\) using formula (5) for \(d=3, q=3, a=1, b=0\)
i1 | i2 | \(\varvec{x}_{\varvec{i}}\) | \(\varvec{y}_{{\varvec{x}_{\varvec{i}} }}\) | \(\varvec{qx}_{\varvec{i}} + \varvec{y}_{{\varvec{x}_{\varvec{i}} }}\) | \({\mathbf{\ell }}\) |
|---|---|---|---|---|---|
0 | 0 | 0 | 0 | 0 | \(v_0\) |
0 | 1 | 1 | 1 | 4 | \(v_4\) |
0 | 2 | 2 | 2 | 8 | \(v_8\) |
1 | 0 | 3 | 1 | 10 | \(v_{10}\) |
1 | 1 | 4 | 2 | 14 | \(v_{14}\) |
1 | 2 | 5 | 0 | 15 | \(v_{15}\) |
2 | 0 | 6 | 2 | 20 | \(v_{20}\) |
2 | 1 | 7 | 0 | 21 | \(v_{21}\) |
2 | 2 | 8 | 1 | 25 | \(v_{25}\) |