Information on Result #61747
There is no OA(864, 242, S8, 51), because the linear programming bound shows that M ≥ 70 232740 660466 146387 371112 364270 550714 612400 798807 017251 810317 649288 784222 788532 961057 620751 780826 891846 178327 052743 502456 032729 337117 589164 303319 040000 / 10982 962511 522080 424097 485508 217442 568541 585265 006918 081487 297620 694440 959423 507493 470379 310181 > 864
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(865, 243, S8, 52) | [i] | Truncation | |
| 2 | No OA(866, 244, S8, 53) | [i] | ||
| 3 | No OA(867, 245, S8, 54) | [i] | ||
| 4 | No OA(868, 246, S8, 55) | [i] | ||
| 5 | No OA(869, 247, S8, 56) | [i] | ||
| 6 | No OA(870, 248, S8, 57) | [i] | ||
| 7 | No OA(871, 249, S8, 58) | [i] | ||
| 8 | No OA(872, 250, S8, 59) | [i] | ||
| 9 | No OA(873, 251, S8, 60) | [i] | ||
| 10 | No OA(874, 252, S8, 61) | [i] | ||
| 11 | No OA(875, 253, S8, 62) | [i] | ||
| 12 | No OA(876, 254, S8, 63) | [i] | ||
| 13 | No OA(877, 255, S8, 64) | [i] | ||
| 14 | No OA(878, 256, S8, 65) | [i] | ||
| 15 | No OA(879, 257, S8, 66) | [i] | ||
| 16 | No OA(880, 258, S8, 67) | [i] | ||
| 17 | No OA(881, 259, S8, 68) | [i] | ||
| 18 | No OA(882, 260, S8, 69) | [i] | ||
| 19 | No OA(883, 261, S8, 70) | [i] | ||
| 20 | No OA(884, 262, S8, 71) | [i] | ||
| 21 | No OA(885, 263, S8, 72) | [i] | ||
| 22 | No OA(886, 264, S8, 73) | [i] | ||
| 23 | No OOA(865, 242, S8, 2, 52) | [i] | m-Reduction for OOAs | |
| 24 | No OOA(866, 242, S8, 2, 53) | [i] | ||
| 25 | No OOA(867, 242, S8, 2, 54) | [i] | ||
| 26 | No OOA(868, 242, S8, 2, 55) | [i] | ||
| 27 | No OOA(869, 242, S8, 2, 56) | [i] | ||
| 28 | No OOA(870, 242, S8, 2, 57) | [i] | ||
| 29 | No OOA(871, 242, S8, 2, 58) | [i] | ||
| 30 | No OOA(872, 242, S8, 2, 59) | [i] | ||
| 31 | No OOA(873, 242, S8, 2, 60) | [i] | ||
| 32 | No OOA(874, 242, S8, 2, 61) | [i] | ||
| 33 | No OOA(875, 242, S8, 2, 62) | [i] | ||
| 34 | No OOA(876, 242, S8, 2, 63) | [i] | ||
| 35 | No OOA(877, 242, S8, 2, 64) | [i] | ||
| 36 | No OOA(878, 242, S8, 2, 65) | [i] | ||
| 37 | No OOA(879, 242, S8, 2, 66) | [i] | ||
| 38 | No OOA(880, 242, S8, 2, 67) | [i] | ||
| 39 | No OOA(881, 242, S8, 2, 68) | [i] | ||
| 40 | No OOA(882, 242, S8, 2, 69) | [i] | ||
| 41 | No OOA(883, 242, S8, 2, 70) | [i] | ||
| 42 | No OOA(884, 242, S8, 2, 71) | [i] | ||
| 43 | No OOA(885, 242, S8, 2, 72) | [i] | ||
| 44 | No OOA(886, 242, S8, 2, 73) | [i] | ||
| 45 | No OOA(864, 242, S8, 2, 51) | [i] | Depth Reduction | |
| 46 | No OOA(864, 242, S8, 3, 51) | [i] | ||
| 47 | No (13, 64, 242)-net in base 8 | [i] | Extracting Embedded Orthogonal Array | |