Information on Result #60073
There is no OA(4107, 141, S4, 76), because the linear programming bound shows that M ≥ 94 704083 303464 777353 653894 455864 731569 878383 755711 840806 960834 620243 478072 712366 905131 794432 / 3301 695418 882126 135009 765625 > 4107
Mode: Bound.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(4107, 141, S4, 2, 76) | [i] | Depth Reduction | |
| 2 | No OOA(4107, 141, S4, 3, 76) | [i] | ||
| 3 | No (31, 107, 141)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4108, 221, F4, 76) (dual of [221, 113, 77]-code) | [i] | Construction Y1 (Bound) | |
| 5 | No linear OA(4108, 220, F4, 76) (dual of [220, 112, 77]-code) | [i] | ||