Information on Result #61089
There is no OA(735, 40, S7, 31), because the linear programming bound shows that M ≥ 18 562115 921017 574302 453163 671207 / 37 > 735
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(736, 41, S7, 32) | [i] | Truncation | |
| 2 | No OA(737, 42, S7, 33) | [i] | ||
| 3 | No OOA(736, 40, S7, 2, 32) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(737, 40, S7, 2, 33) | [i] | ||
| 5 | No OOA(738, 40, S7, 2, 34) | [i] | ||
| 6 | No OOA(739, 40, S7, 2, 35) | [i] | ||
| 7 | No OOA(740, 40, S7, 2, 36) | [i] | ||
| 8 | No OOA(741, 40, S7, 2, 37) | [i] | ||
| 9 | No OOA(742, 40, S7, 2, 38) | [i] | ||
| 10 | No OOA(743, 40, S7, 2, 39) | [i] | ||
| 11 | No OOA(744, 40, S7, 2, 40) | [i] | ||
| 12 | No OOA(745, 40, S7, 2, 41) | [i] | ||
| 13 | No OOA(746, 40, S7, 2, 42) | [i] | ||
| 14 | No OOA(747, 40, S7, 2, 43) | [i] | ||
| 15 | No OOA(748, 40, S7, 2, 44) | [i] | ||
| 16 | No OOA(749, 40, S7, 2, 45) | [i] | ||
| 17 | No OOA(750, 40, S7, 2, 46) | [i] | ||
| 18 | No OOA(751, 40, S7, 2, 47) | [i] | ||
| 19 | No OOA(752, 40, S7, 2, 48) | [i] | ||
| 20 | No OOA(753, 40, S7, 2, 49) | [i] | ||
| 21 | No OOA(754, 40, S7, 2, 50) | [i] | ||
| 22 | No OOA(755, 40, S7, 2, 51) | [i] | ||
| 23 | No OOA(756, 40, S7, 2, 52) | [i] | ||
| 24 | No OOA(757, 40, S7, 2, 53) | [i] | ||
| 25 | No OOA(758, 40, S7, 2, 54) | [i] | ||
| 26 | No OOA(759, 40, S7, 2, 55) | [i] | ||
| 27 | No OOA(760, 40, S7, 2, 56) | [i] | ||
| 28 | No OOA(761, 40, S7, 2, 57) | [i] | ||
| 29 | No OOA(762, 40, S7, 2, 58) | [i] | ||
| 30 | No OOA(763, 40, S7, 2, 59) | [i] | ||
| 31 | No OOA(764, 40, S7, 2, 60) | [i] | ||
| 32 | No OOA(765, 40, S7, 2, 61) | [i] | ||
| 33 | No OOA(766, 40, S7, 2, 62) | [i] | ||
| 34 | No OOA(767, 40, S7, 2, 63) | [i] | ||
| 35 | No OOA(768, 40, S7, 2, 64) | [i] | ||
| 36 | No OOA(769, 40, S7, 2, 65) | [i] | ||
| 37 | No OOA(770, 40, S7, 2, 66) | [i] | ||
| 38 | No OOA(771, 40, S7, 2, 67) | [i] | ||
| 39 | No OOA(772, 40, S7, 2, 68) | [i] | ||
| 40 | No OOA(773, 40, S7, 2, 69) | [i] | ||
| 41 | No OOA(735, 40, S7, 2, 31) | [i] | Depth Reduction | |
| 42 | No OOA(735, 40, S7, 3, 31) | [i] | ||
| 43 | No (4, 35, 40)-net in base 7 | [i] | Extracting Embedded Orthogonal Array | |