Information on Result #5317
There is no OA(731, 33, S7, 28), because the (dual) Plotkin bound shows that M ≥ 5522 138371 219603 231526 496005 / 29 > 731
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(732, 34, S7, 29) | [i] | Truncation | |
| 2 | No OA(733, 35, S7, 30) | [i] | ||
| 3 | No OA(734, 36, S7, 31) | [i] | ||
| 4 | No OA(735, 37, S7, 32) | [i] | ||
| 5 | No OA(736, 38, S7, 33) | [i] | ||
| 6 | No OA(737, 39, S7, 34) | [i] | ||
| 7 | No OA(738, 40, S7, 35) | [i] | ||
| 8 | No OA(739, 41, S7, 36) | [i] | ||
| 9 | No OA(740, 42, S7, 37) | [i] | ||
| 10 | No OA(741, 43, S7, 38) | [i] | ||
| 11 | No OA(742, 44, S7, 39) | [i] | ||
| 12 | No OA(743, 45, S7, 40) | [i] | ||
| 13 | No OA(744, 46, S7, 41) | [i] | ||
| 14 | No OA(745, 47, S7, 42) | [i] | ||
| 15 | No OA(746, 48, S7, 43) | [i] | ||
| 16 | No OA(747, 49, S7, 44) | [i] | ||
| 17 | No OA(748, 50, S7, 45) | [i] | ||
| 18 | No OA(749, 51, S7, 46) | [i] | ||
| 19 | No OA(750, 52, S7, 47) | [i] | ||
| 20 | No OA(751, 53, S7, 48) | [i] | ||
| 21 | No OA(752, 54, S7, 49) | [i] | ||
| 22 | No OA(753, 55, S7, 50) | [i] | ||
| 23 | No OA(754, 56, S7, 51) | [i] | ||
| 24 | No OA(755, 57, S7, 52) | [i] | ||
| 25 | No OA(756, 58, S7, 53) | [i] | ||
| 26 | No OA(757, 59, S7, 54) | [i] | ||
| 27 | No OA(758, 60, S7, 55) | [i] | ||
| 28 | No OA(759, 61, S7, 56) | [i] | ||
| 29 | No OA(760, 62, S7, 57) | [i] | ||
| 30 | No OA(761, 63, S7, 58) | [i] | ||
| 31 | No OA(762, 64, S7, 59) | [i] | ||
| 32 | No OA(763, 65, S7, 60) | [i] | ||
| 33 | No OA(764, 66, S7, 61) | [i] | ||
| 34 | No OA(765, 67, S7, 62) | [i] | ||
| 35 | No OA(766, 68, S7, 63) | [i] | ||
| 36 | No OA(767, 69, S7, 64) | [i] | ||
| 37 | No OA(768, 70, S7, 65) | [i] | ||
| 38 | No OA(769, 71, S7, 66) | [i] | ||
| 39 | No OA(770, 72, S7, 67) | [i] | ||
| 40 | No OA(771, 73, S7, 68) | [i] | ||
| 41 | No OA(772, 74, S7, 69) | [i] | ||
| 42 | No OA(773, 75, S7, 70) | [i] | ||
| 43 | No OA(774, 76, S7, 71) | [i] | ||
| 44 | No OA(775, 77, S7, 72) | [i] | ||
| 45 | No OA(776, 78, S7, 73) | [i] | ||
| 46 | No OA(777, 79, S7, 74) | [i] | ||
| 47 | No OA(778, 80, S7, 75) | [i] | ||
| 48 | No OA(779, 81, S7, 76) | [i] | ||
| 49 | No OA(780, 82, S7, 77) | [i] | ||
| 50 | No OA(781, 83, S7, 78) | [i] | ||
| 51 | No OA(782, 84, S7, 79) | [i] | ||
| 52 | No OA(783, 85, S7, 80) | [i] | ||
| 53 | No OA(784, 86, S7, 81) | [i] | ||
| 54 | No OA(785, 87, S7, 82) | [i] | ||
| 55 | No OA(786, 88, S7, 83) | [i] | ||
| 56 | No OA(787, 89, S7, 84) | [i] | ||
| 57 | No OA(788, 90, S7, 85) | [i] | ||
| 58 | No OA(789, 91, S7, 86) | [i] | ||
| 59 | No OA(790, 92, S7, 87) | [i] | ||
| 60 | No OA(791, 93, S7, 88) | [i] | ||
| 61 | No OA(792, 94, S7, 89) | [i] | ||
| 62 | No OA(793, 95, S7, 90) | [i] | ||
| 63 | No OA(794, 96, S7, 91) | [i] | ||
| 64 | No OA(795, 97, S7, 92) | [i] | ||
| 65 | No OA(796, 98, S7, 93) | [i] | ||
| 66 | No OA(797, 99, S7, 94) | [i] | ||
| 67 | No OA(798, 100, S7, 95) | [i] | ||
| 68 | No OA(799, 101, S7, 96) | [i] | ||
| 69 | No OA(7100, 102, S7, 97) | [i] | ||
| 70 | No OA(7101, 103, S7, 98) | [i] | ||
| 71 | No OA(7102, 104, S7, 99) | [i] | ||
| 72 | No OA(7103, 105, S7, 100) | [i] | ||
| 73 | No OA(7104, 106, S7, 101) | [i] | ||
| 74 | No OA(7105, 107, S7, 102) | [i] | ||
| 75 | No OA(7106, 108, S7, 103) | [i] | ||
| 76 | No OA(7107, 109, S7, 104) | [i] | ||
| 77 | No OA(7108, 110, S7, 105) | [i] | ||
| 78 | No OA(7109, 111, S7, 106) | [i] | ||
| 79 | No OA(7110, 112, S7, 107) | [i] | ||
| 80 | No OOA(732, 33, S7, 2, 29) | [i] | m-Reduction for OOAs | |
| 81 | No OOA(733, 33, S7, 2, 30) | [i] | ||
| 82 | No OOA(734, 33, S7, 2, 31) | [i] | ||
| 83 | No OOA(735, 33, S7, 2, 32) | [i] | ||
| 84 | No OOA(736, 33, S7, 2, 33) | [i] | ||
| 85 | No OOA(737, 33, S7, 2, 34) | [i] | ||
| 86 | No OOA(738, 33, S7, 2, 35) | [i] | ||
| 87 | No OOA(739, 33, S7, 2, 36) | [i] | ||
| 88 | No OOA(740, 33, S7, 2, 37) | [i] | ||
| 89 | No OOA(741, 33, S7, 2, 38) | [i] | ||
| 90 | No OOA(742, 33, S7, 2, 39) | [i] | ||
| 91 | No OOA(743, 33, S7, 2, 40) | [i] | ||
| 92 | No OOA(744, 33, S7, 2, 41) | [i] | ||
| 93 | No OOA(745, 33, S7, 2, 42) | [i] | ||
| 94 | No OOA(746, 33, S7, 2, 43) | [i] | ||
| 95 | No OOA(747, 33, S7, 2, 44) | [i] | ||
| 96 | No OOA(748, 33, S7, 2, 45) | [i] | ||
| 97 | No OOA(749, 33, S7, 2, 46) | [i] | ||
| 98 | No OOA(750, 33, S7, 2, 47) | [i] | ||
| 99 | No OOA(751, 33, S7, 2, 48) | [i] | ||
| 100 | No OOA(752, 33, S7, 2, 49) | [i] | ||
| 101 | No OOA(753, 33, S7, 2, 50) | [i] | ||
| 102 | No OOA(754, 33, S7, 2, 51) | [i] | ||
| 103 | No OOA(755, 33, S7, 2, 52) | [i] | ||
| 104 | No OOA(756, 33, S7, 2, 53) | [i] | ||
| 105 | No OOA(757, 33, S7, 2, 54) | [i] | ||
| 106 | No OOA(758, 33, S7, 2, 55) | [i] | ||
| 107 | No OOA(797, 33, S7, 3, 94) | [i] | ||
| 108 | No OOA(731, 33, S7, 2, 28) | [i] | Depth Reduction | |
| 109 | No OOA(731, 33, S7, 3, 28) | [i] | ||
| 110 | No (3, 31, 33)-net in base 7 | [i] | Extracting Embedded Orthogonal Array | |
| 111 | No linear OA(732, 37, F7, 28) (dual of [37, 5, 29]-code) | [i] | Construction Y1 (Bound) | |