Information on Result #61746
There is no OA(863, 215, S8, 51), because the linear programming bound shows that M ≥ 888 049659 806526 634191 786130 362400 515913 030438 291744 086005 596735 253567 829260 820482 770094 550055 783634 864649 171965 452306 062773 016047 124480 / 1 053826 588446 508203 823694 245542 937039 065874 666654 907871 467877 113225 277242 012681 > 863
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(864, 216, S8, 52) | [i] | Truncation | |
| 2 | No OA(865, 217, S8, 53) | [i] | ||
| 3 | No OA(866, 218, S8, 54) | [i] | ||
| 4 | No OA(867, 219, S8, 55) | [i] | ||
| 5 | No OA(868, 220, S8, 56) | [i] | ||
| 6 | No OA(869, 221, S8, 57) | [i] | ||
| 7 | No OA(870, 222, S8, 58) | [i] | ||
| 8 | No OA(871, 223, S8, 59) | [i] | ||
| 9 | No OA(872, 224, S8, 60) | [i] | ||
| 10 | No OA(873, 225, S8, 61) | [i] | ||
| 11 | No OA(874, 226, S8, 62) | [i] | ||
| 12 | No OA(875, 227, S8, 63) | [i] | ||
| 13 | No OA(876, 228, S8, 64) | [i] | ||
| 14 | No OA(877, 229, S8, 65) | [i] | ||
| 15 | No OA(878, 230, S8, 66) | [i] | ||
| 16 | No OOA(864, 215, S8, 2, 52) | [i] | m-Reduction for OOAs | |
| 17 | No OOA(865, 215, S8, 2, 53) | [i] | ||
| 18 | No OOA(866, 215, S8, 2, 54) | [i] | ||
| 19 | No OOA(867, 215, S8, 2, 55) | [i] | ||
| 20 | No OOA(868, 215, S8, 2, 56) | [i] | ||
| 21 | No OOA(869, 215, S8, 2, 57) | [i] | ||
| 22 | No OOA(870, 215, S8, 2, 58) | [i] | ||
| 23 | No OOA(871, 215, S8, 2, 59) | [i] | ||
| 24 | No OOA(872, 215, S8, 2, 60) | [i] | ||
| 25 | No OOA(873, 215, S8, 2, 61) | [i] | ||
| 26 | No OOA(874, 215, S8, 2, 62) | [i] | ||
| 27 | No OOA(875, 215, S8, 2, 63) | [i] | ||
| 28 | No OOA(876, 215, S8, 2, 64) | [i] | ||
| 29 | No OOA(877, 215, S8, 2, 65) | [i] | ||
| 30 | No OOA(878, 215, S8, 2, 66) | [i] | ||
| 31 | No OOA(863, 215, S8, 2, 51) | [i] | Depth Reduction | |
| 32 | No OOA(863, 215, S8, 3, 51) | [i] | ||
| 33 | No (12, 63, 215)-net in base 8 | [i] | Extracting Embedded Orthogonal Array | |