Information on Result #62406
There is no OA(165, 94, S16, 4), because the linear programming bound shows that M ≥ 2179 760128 / 2071 > 165
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(166, 95, S16, 5) | [i] | Truncation | |
| 2 | No OOA(166, 94, S16, 2, 5) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(165, 94, S16, 2, 4) | [i] | Depth Reduction | |
| 4 | No (1, 5, 94)-net in base 16 | [i] | Extracting Embedded Orthogonal Array | |
| 5 | No linear OA(1669, 159, F16, 64) (dual of [159, 90, 65]-code) | [i] | Residual Code | |
| 6 | No linear OA(1689, 94, F16, 84) (dual of [94, 5, 85]-code) | [i] | Construction Y1 (Bound) | |