Information on Result #61912
There is no OA(8115, 147, S8, 98), because the linear programming bound shows that M ≥ 599345 416299 388973 235507 022177 177118 046850 911577 140306 689015 460811 889080 427692 784047 046445 821063 607212 795117 279723 192210 808892 966020 579328 / 7743 507384 508665 125912 260586 578125 > 8115
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 OOA(8115, 147, S8, 2, 98) | [i] | Depth Reduction | |
| 2 | No OOA(8115, 147, S8, 3, 98) | [i] | ||
| 3 | No (17, 115, 147)-net in base 8 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(8121, 236, F8, 103) (dual of [236, 115, 104]-code) | [i] | Construction Y1 (Bound) | |
| 5 | No linear OA(8128, 243, F8, 109) (dual of [243, 115, 110]-code) | [i] | ||