Information on Result #60037
There is no OA(4101, 146, S4, 71), because the linear programming bound shows that M ≥ 780 391601 299222 805405 564977 076901 757366 079162 890923 638174 195116 932617 997552 007423 809669 824512 / 113 932691 512033 126701 906109 976895 > 4101
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(4101, 146, S4, 2, 71) | [i] | Depth Reduction | |
| 2 | No OOA(4101, 146, S4, 3, 71) | [i] | ||
| 3 | No (30, 101, 146)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4102, 262, F4, 71) (dual of [262, 160, 72]-code) | [i] | Construction Y1 (Bound) | |
| 5 | No linear OA(4137, 238, F4, 99) (dual of [238, 101, 100]-code) | [i] | ||