Information on Result #60051
There is no OA(4104, 150, S4, 73), because the linear programming bound shows that M ≥ 32 028783 264027 932827 838658 827950 132017 443030 031565 779091 184319 519613 927802 631343 679332 066747 830675 439616 / 70932 376441 373736 310653 589982 582096 950125 > 4104
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(4104, 150, S4, 2, 73) | [i] | Depth Reduction | |
| 2 | No OOA(4104, 150, S4, 3, 73) | [i] | ||
| 3 | No (31, 104, 150)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4112, 216, F4, 79) (dual of [216, 104, 80]-code) | [i] | Construction Y1 (Bound) | |
| 5 | No linear OA(4115, 219, F4, 81) (dual of [219, 104, 82]-code) | [i] | ||