Information on Result #61562
There is no OA(833, 37, S8, 30), because the linear programming bound shows that M ≥ 299 165541 653862 138753 221956 468736 / 465 > 833
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 OA(834, 38, S8, 31) | [i] | Truncation | |
| 2 | No OOA(834, 37, S8, 2, 31) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(836, 37, S8, 2, 33) | [i] | ||
| 4 | No OOA(837, 37, S8, 2, 34) | [i] | ||
| 5 | No OOA(838, 37, S8, 2, 35) | [i] | ||
| 6 | No OOA(839, 37, S8, 2, 36) | [i] | ||
| 7 | No OOA(840, 37, S8, 2, 37) | [i] | ||
| 8 | No OOA(841, 37, S8, 2, 38) | [i] | ||
| 9 | No OOA(842, 37, S8, 2, 39) | [i] | ||
| 10 | No OOA(843, 37, S8, 2, 40) | [i] | ||
| 11 | No OOA(844, 37, S8, 2, 41) | [i] | ||
| 12 | No OOA(845, 37, S8, 2, 42) | [i] | ||
| 13 | No OOA(846, 37, S8, 2, 43) | [i] | ||
| 14 | No OOA(847, 37, S8, 2, 44) | [i] | ||
| 15 | No OOA(848, 37, S8, 2, 45) | [i] | ||
| 16 | No OOA(849, 37, S8, 2, 46) | [i] | ||
| 17 | No OOA(850, 37, S8, 2, 47) | [i] | ||
| 18 | No OOA(851, 37, S8, 2, 48) | [i] | ||
| 19 | No OOA(852, 37, S8, 2, 49) | [i] | ||
| 20 | No OOA(853, 37, S8, 2, 50) | [i] | ||
| 21 | No OOA(854, 37, S8, 2, 51) | [i] | ||
| 22 | No OOA(855, 37, S8, 2, 52) | [i] | ||
| 23 | No OOA(856, 37, S8, 2, 53) | [i] | ||
| 24 | No OOA(857, 37, S8, 2, 54) | [i] | ||
| 25 | No OOA(858, 37, S8, 2, 55) | [i] | ||
| 26 | No OOA(859, 37, S8, 2, 56) | [i] | ||
| 27 | No OOA(860, 37, S8, 2, 57) | [i] | ||
| 28 | No OOA(861, 37, S8, 2, 58) | [i] | ||
| 29 | No OOA(862, 37, S8, 2, 59) | [i] | ||
| 30 | No OOA(863, 37, S8, 2, 60) | [i] | ||
| 31 | No OOA(864, 37, S8, 2, 61) | [i] | ||
| 32 | No OOA(865, 37, S8, 2, 62) | [i] | ||
| 33 | No OOA(866, 37, S8, 2, 63) | [i] | ||
| 34 | No OOA(867, 37, S8, 2, 64) | [i] | ||
| 35 | No OOA(868, 37, S8, 2, 65) | [i] | ||
| 36 | No OOA(833, 37, S8, 2, 30) | [i] | Depth Reduction | |
| 37 | No OOA(833, 37, S8, 3, 30) | [i] | ||
| 38 | No (3, 33, 37)-net in base 8 | [i] | Extracting Embedded Orthogonal Array | |
| 39 | No linear OA(834, 59, F8, 30) (dual of [59, 25, 31]-code) | [i] | Construction Y1 (Bound) | |