Information on Result #61194
There is no OA(748, 53, S7, 42), because the linear programming bound shows that M ≥ 1 688354 937995 529770 296589 707473 548368 684846 / 43 > 748
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(749, 54, S7, 43) | [i] | Truncation | |
| 2 | No OA(750, 55, S7, 44) | [i] | ||
| 3 | No OA(751, 56, S7, 45) | [i] | ||
| 4 | No OA(752, 57, S7, 46) | [i] | ||
| 5 | No OA(753, 58, S7, 47) | [i] | ||
| 6 | No OA(754, 59, S7, 48) | [i] | ||
| 7 | No OOA(749, 53, S7, 2, 43) | [i] | m-Reduction for OOAs | |
| 8 | No OOA(750, 53, S7, 2, 44) | [i] | ||
| 9 | No OOA(751, 53, S7, 2, 45) | [i] | ||
| 10 | No OOA(752, 53, S7, 2, 46) | [i] | ||
| 11 | No OOA(753, 53, S7, 2, 47) | [i] | ||
| 12 | No OOA(754, 53, S7, 2, 48) | [i] | ||
| 13 | No OOA(755, 53, S7, 2, 49) | [i] | ||
| 14 | No OOA(756, 53, S7, 2, 50) | [i] | ||
| 15 | No OOA(757, 53, S7, 2, 51) | [i] | ||
| 16 | No OOA(758, 53, S7, 2, 52) | [i] | ||
| 17 | No OOA(759, 53, S7, 2, 53) | [i] | ||
| 18 | No OOA(760, 53, S7, 2, 54) | [i] | ||
| 19 | No OOA(761, 53, S7, 2, 55) | [i] | ||
| 20 | No OOA(762, 53, S7, 2, 56) | [i] | ||
| 21 | No OOA(763, 53, S7, 2, 57) | [i] | ||
| 22 | No OOA(764, 53, S7, 2, 58) | [i] | ||
| 23 | No OOA(765, 53, S7, 2, 59) | [i] | ||
| 24 | No OOA(766, 53, S7, 2, 60) | [i] | ||
| 25 | No OOA(767, 53, S7, 2, 61) | [i] | ||
| 26 | No OOA(768, 53, S7, 2, 62) | [i] | ||
| 27 | No OOA(769, 53, S7, 2, 63) | [i] | ||
| 28 | No OOA(770, 53, S7, 2, 64) | [i] | ||
| 29 | No OOA(771, 53, S7, 2, 65) | [i] | ||
| 30 | No OOA(772, 53, S7, 2, 66) | [i] | ||
| 31 | No OOA(773, 53, S7, 2, 67) | [i] | ||
| 32 | No OOA(774, 53, S7, 2, 68) | [i] | ||
| 33 | No OOA(775, 53, S7, 2, 69) | [i] | ||
| 34 | No OOA(776, 53, S7, 2, 70) | [i] | ||
| 35 | No OOA(777, 53, S7, 2, 71) | [i] | ||
| 36 | No OOA(778, 53, S7, 2, 72) | [i] | ||
| 37 | No OOA(779, 53, S7, 2, 73) | [i] | ||
| 38 | No OOA(780, 53, S7, 2, 74) | [i] | ||
| 39 | No OOA(781, 53, S7, 2, 75) | [i] | ||
| 40 | No OOA(782, 53, S7, 2, 76) | [i] | ||
| 41 | No OOA(783, 53, S7, 2, 77) | [i] | ||
| 42 | No OOA(784, 53, S7, 2, 78) | [i] | ||
| 43 | No OOA(785, 53, S7, 2, 79) | [i] | ||
| 44 | No OOA(786, 53, S7, 2, 80) | [i] | ||
| 45 | No OOA(787, 53, S7, 2, 81) | [i] | ||
| 46 | No OOA(788, 53, S7, 2, 82) | [i] | ||
| 47 | No OOA(789, 53, S7, 2, 83) | [i] | ||
| 48 | No OOA(790, 53, S7, 2, 84) | [i] | ||
| 49 | No OOA(791, 53, S7, 2, 85) | [i] | ||
| 50 | No OOA(792, 53, S7, 2, 86) | [i] | ||
| 51 | No OOA(793, 53, S7, 2, 87) | [i] | ||
| 52 | No OOA(794, 53, S7, 2, 88) | [i] | ||
| 53 | No OOA(795, 53, S7, 2, 89) | [i] | ||
| 54 | No OOA(796, 53, S7, 2, 90) | [i] | ||
| 55 | No OOA(797, 53, S7, 2, 91) | [i] | ||
| 56 | No OOA(798, 53, S7, 2, 92) | [i] | ||
| 57 | No OOA(748, 53, S7, 2, 42) | [i] | Depth Reduction | |
| 58 | No OOA(748, 53, S7, 3, 42) | [i] | ||
| 59 | No (6, 48, 53)-net in base 7 | [i] | Extracting Embedded Orthogonal Array | |