Information on Result #60120
There is no OA(4118, 148, S4, 84), because the linear programming bound shows that M ≥ 7301 270043 157677 378834 968797 352546 115167 116693 516048 447726 743341 396059 833062 672218 026684 710912 / 58934 105814 768105 796875 > 4118
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(4118, 148, S4, 2, 84) | [i] | Depth Reduction | |
| 2 | No OOA(4118, 148, S4, 3, 84) | [i] | ||
| 3 | No (34, 118, 148)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4111, 229, F4, 78) (dual of [229, 118, 79]-code) | [i] | Construction Y1 (Bound) | |
| 5 | No linear OA(4114, 232, F4, 80) (dual of [232, 118, 81]-code) | [i] | ||
| 6 | No linear OA(4119, 216, F4, 84) (dual of [216, 97, 85]-code) | [i] | ||