Information on Result #61137
There is no OA(741, 46, S7, 36), because the linear programming bound shows that M ≥ 68 946139 584883 864057 594001 122656 706829 / 1517 > 741
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(742, 47, S7, 37) | [i] | Truncation | |
| 2 | No OA(743, 48, S7, 38) | [i] | ||
| 3 | No OA(744, 49, S7, 39) | [i] | ||
| 4 | No OA(745, 50, S7, 40) | [i] | ||
| 5 | No OA(746, 51, S7, 41) | [i] | ||
| 6 | No OOA(742, 46, S7, 2, 37) | [i] | m-Reduction for OOAs | |
| 7 | No OOA(743, 46, S7, 2, 38) | [i] | ||
| 8 | No OOA(744, 46, S7, 2, 39) | [i] | ||
| 9 | No OOA(745, 46, S7, 2, 40) | [i] | ||
| 10 | No OOA(746, 46, S7, 2, 41) | [i] | ||
| 11 | No OOA(747, 46, S7, 2, 42) | [i] | ||
| 12 | No OOA(748, 46, S7, 2, 43) | [i] | ||
| 13 | No OOA(749, 46, S7, 2, 44) | [i] | ||
| 14 | No OOA(750, 46, S7, 2, 45) | [i] | ||
| 15 | No OOA(751, 46, S7, 2, 46) | [i] | ||
| 16 | No OOA(752, 46, S7, 2, 47) | [i] | ||
| 17 | No OOA(753, 46, S7, 2, 48) | [i] | ||
| 18 | No OOA(754, 46, S7, 2, 49) | [i] | ||
| 19 | No OOA(755, 46, S7, 2, 50) | [i] | ||
| 20 | No OOA(756, 46, S7, 2, 51) | [i] | ||
| 21 | No OOA(757, 46, S7, 2, 52) | [i] | ||
| 22 | No OOA(758, 46, S7, 2, 53) | [i] | ||
| 23 | No OOA(759, 46, S7, 2, 54) | [i] | ||
| 24 | No OOA(760, 46, S7, 2, 55) | [i] | ||
| 25 | No OOA(761, 46, S7, 2, 56) | [i] | ||
| 26 | No OOA(762, 46, S7, 2, 57) | [i] | ||
| 27 | No OOA(763, 46, S7, 2, 58) | [i] | ||
| 28 | No OOA(764, 46, S7, 2, 59) | [i] | ||
| 29 | No OOA(765, 46, S7, 2, 60) | [i] | ||
| 30 | No OOA(766, 46, S7, 2, 61) | [i] | ||
| 31 | No OOA(767, 46, S7, 2, 62) | [i] | ||
| 32 | No OOA(768, 46, S7, 2, 63) | [i] | ||
| 33 | No OOA(769, 46, S7, 2, 64) | [i] | ||
| 34 | No OOA(770, 46, S7, 2, 65) | [i] | ||
| 35 | No OOA(771, 46, S7, 2, 66) | [i] | ||
| 36 | No OOA(772, 46, S7, 2, 67) | [i] | ||
| 37 | No OOA(773, 46, S7, 2, 68) | [i] | ||
| 38 | No OOA(774, 46, S7, 2, 69) | [i] | ||
| 39 | No OOA(775, 46, S7, 2, 70) | [i] | ||
| 40 | No OOA(776, 46, S7, 2, 71) | [i] | ||
| 41 | No OOA(777, 46, S7, 2, 72) | [i] | ||
| 42 | No OOA(778, 46, S7, 2, 73) | [i] | ||
| 43 | No OOA(779, 46, S7, 2, 74) | [i] | ||
| 44 | No OOA(780, 46, S7, 2, 75) | [i] | ||
| 45 | No OOA(781, 46, S7, 2, 76) | [i] | ||
| 46 | No OOA(782, 46, S7, 2, 77) | [i] | ||
| 47 | No OOA(783, 46, S7, 2, 78) | [i] | ||
| 48 | No OOA(784, 46, S7, 2, 79) | [i] | ||
| 49 | No OOA(785, 46, S7, 2, 80) | [i] | ||
| 50 | No OOA(741, 46, S7, 2, 36) | [i] | Depth Reduction | |
| 51 | No OOA(741, 46, S7, 3, 36) | [i] | ||
| 52 | No (5, 41, 46)-net in base 7 | [i] | Extracting Embedded Orthogonal Array | |