Information on Result #5337
There is no OA(835, 37, S8, 32), because the (dual) Plotkin bound shows that M ≥ 1622 592768 292133 633915 780102 881280 / 33 > 835
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(836, 38, S8, 33) | [i] | Truncation | |
| 2 | No OA(837, 39, S8, 34) | [i] | ||
| 3 | No OA(838, 40, S8, 35) | [i] | ||
| 4 | No OA(839, 41, S8, 36) | [i] | ||
| 5 | No OA(840, 42, S8, 37) | [i] | ||
| 6 | No OA(841, 43, S8, 38) | [i] | ||
| 7 | No OA(842, 44, S8, 39) | [i] | ||
| 8 | No OA(843, 45, S8, 40) | [i] | ||
| 9 | No OA(844, 46, S8, 41) | [i] | ||
| 10 | No OA(845, 47, S8, 42) | [i] | ||
| 11 | No OA(846, 48, S8, 43) | [i] | ||
| 12 | No OA(847, 49, S8, 44) | [i] | ||
| 13 | No OA(848, 50, S8, 45) | [i] | ||
| 14 | No OA(849, 51, S8, 46) | [i] | ||
| 15 | No OA(850, 52, S8, 47) | [i] | ||
| 16 | No OA(851, 53, S8, 48) | [i] | ||
| 17 | No OA(852, 54, S8, 49) | [i] | ||
| 18 | No OA(853, 55, S8, 50) | [i] | ||
| 19 | No OA(854, 56, S8, 51) | [i] | ||
| 20 | No OA(855, 57, S8, 52) | [i] | ||
| 21 | No OA(856, 58, S8, 53) | [i] | ||
| 22 | No OA(857, 59, S8, 54) | [i] | ||
| 23 | No OA(858, 60, S8, 55) | [i] | ||
| 24 | No OA(859, 61, S8, 56) | [i] | ||
| 25 | No OA(860, 62, S8, 57) | [i] | ||
| 26 | No OA(861, 63, S8, 58) | [i] | ||
| 27 | No OA(862, 64, S8, 59) | [i] | ||
| 28 | No OA(863, 65, S8, 60) | [i] | ||
| 29 | No OA(864, 66, S8, 61) | [i] | ||
| 30 | No OA(865, 67, S8, 62) | [i] | ||
| 31 | No OA(866, 68, S8, 63) | [i] | ||
| 32 | No OA(867, 69, S8, 64) | [i] | ||
| 33 | No OA(868, 70, S8, 65) | [i] | ||
| 34 | No OA(869, 71, S8, 66) | [i] | ||
| 35 | No OA(870, 72, S8, 67) | [i] | ||
| 36 | No OA(871, 73, S8, 68) | [i] | ||
| 37 | No OA(872, 74, S8, 69) | [i] | ||
| 38 | No OA(873, 75, S8, 70) | [i] | ||
| 39 | No OA(874, 76, S8, 71) | [i] | ||
| 40 | No OA(875, 77, S8, 72) | [i] | ||
| 41 | No OA(876, 78, S8, 73) | [i] | ||
| 42 | No OA(877, 79, S8, 74) | [i] | ||
| 43 | No OA(878, 80, S8, 75) | [i] | ||
| 44 | No OA(879, 81, S8, 76) | [i] | ||
| 45 | No OA(880, 82, S8, 77) | [i] | ||
| 46 | No OA(881, 83, S8, 78) | [i] | ||
| 47 | No OA(882, 84, S8, 79) | [i] | ||
| 48 | No OA(883, 85, S8, 80) | [i] | ||
| 49 | No OA(884, 86, S8, 81) | [i] | ||
| 50 | No OA(885, 87, S8, 82) | [i] | ||
| 51 | No OA(886, 88, S8, 83) | [i] | ||
| 52 | No OA(887, 89, S8, 84) | [i] | ||
| 53 | No OA(888, 90, S8, 85) | [i] | ||
| 54 | No OA(889, 91, S8, 86) | [i] | ||
| 55 | No OA(890, 92, S8, 87) | [i] | ||
| 56 | No OA(891, 93, S8, 88) | [i] | ||
| 57 | No OA(892, 94, S8, 89) | [i] | ||
| 58 | No OA(893, 95, S8, 90) | [i] | ||
| 59 | No OA(894, 96, S8, 91) | [i] | ||
| 60 | No OA(895, 97, S8, 92) | [i] | ||
| 61 | No OA(896, 98, S8, 93) | [i] | ||
| 62 | No OA(897, 99, S8, 94) | [i] | ||
| 63 | No OA(898, 100, S8, 95) | [i] | ||
| 64 | No OA(899, 101, S8, 96) | [i] | ||
| 65 | No OA(8100, 102, S8, 97) | [i] | ||
| 66 | No OA(8101, 103, S8, 98) | [i] | ||
| 67 | No OA(8102, 104, S8, 99) | [i] | ||
| 68 | No OA(8103, 105, S8, 100) | [i] | ||
| 69 | No OA(8104, 106, S8, 101) | [i] | ||
| 70 | No OA(8105, 107, S8, 102) | [i] | ||
| 71 | No OA(8106, 108, S8, 103) | [i] | ||
| 72 | No OA(8107, 109, S8, 104) | [i] | ||
| 73 | No OA(8108, 110, S8, 105) | [i] | ||
| 74 | No OA(8109, 111, S8, 106) | [i] | ||
| 75 | No OA(8110, 112, S8, 107) | [i] | ||
| 76 | No OA(8111, 113, S8, 108) | [i] | ||
| 77 | No OA(8112, 114, S8, 109) | [i] | ||
| 78 | No OA(8113, 115, S8, 110) | [i] | ||
| 79 | No OA(8114, 116, S8, 111) | [i] | ||
| 80 | No OA(8115, 117, S8, 112) | [i] | ||
| 81 | No OA(8116, 118, S8, 113) | [i] | ||
| 82 | No OA(8117, 119, S8, 114) | [i] | ||
| 83 | No OA(8118, 120, S8, 115) | [i] | ||
| 84 | No OA(8119, 121, S8, 116) | [i] | ||
| 85 | No OA(8120, 122, S8, 117) | [i] | ||
| 86 | No OA(8121, 123, S8, 118) | [i] | ||
| 87 | No OA(8122, 124, S8, 119) | [i] | ||
| 88 | No OA(8123, 125, S8, 120) | [i] | ||
| 89 | No OA(8124, 126, S8, 121) | [i] | ||
| 90 | No OA(8125, 127, S8, 122) | [i] | ||
| 91 | No OA(8126, 128, S8, 123) | [i] | ||
| 92 | No OA(8127, 129, S8, 124) | [i] | ||
| 93 | No OA(8128, 130, S8, 125) | [i] | ||
| 94 | No OA(8129, 131, S8, 126) | [i] | ||
| 95 | No OA(8130, 132, S8, 127) | [i] | ||
| 96 | No OA(8131, 133, S8, 128) | [i] | ||
| 97 | No OA(8132, 134, S8, 129) | [i] | ||
| 98 | No OA(8133, 135, S8, 130) | [i] | ||
| 99 | No OA(8134, 136, S8, 131) | [i] | ||
| 100 | No OA(8135, 137, S8, 132) | [i] | ||
| 101 | No OA(8136, 138, S8, 133) | [i] | ||
| 102 | No OA(8137, 139, S8, 134) | [i] | ||
| 103 | No OA(8138, 140, S8, 135) | [i] | ||
| 104 | No OA(8139, 141, S8, 136) | [i] | ||
| 105 | No OA(8140, 142, S8, 137) | [i] | ||
| 106 | No OA(8141, 143, S8, 138) | [i] | ||
| 107 | No OA(8142, 144, S8, 139) | [i] | ||
| 108 | No OA(8143, 145, S8, 140) | [i] | ||
| 109 | No OA(8144, 146, S8, 141) | [i] | ||
| 110 | No OA(8145, 147, S8, 142) | [i] | ||
| 111 | No OA(8146, 148, S8, 143) | [i] | ||
| 112 | No OA(8147, 149, S8, 144) | [i] | ||
| 113 | No OA(8148, 150, S8, 145) | [i] | ||
| 114 | No OA(8149, 151, S8, 146) | [i] | ||
| 115 | No OA(8150, 152, S8, 147) | [i] | ||
| 116 | No OA(8151, 153, S8, 148) | [i] | ||
| 117 | No OA(8152, 154, S8, 149) | [i] | ||
| 118 | No OA(8153, 155, S8, 150) | [i] | ||
| 119 | No OA(8154, 156, S8, 151) | [i] | ||
| 120 | No OA(8155, 157, S8, 152) | [i] | ||
| 121 | No OA(8156, 158, S8, 153) | [i] | ||
| 122 | No OA(8157, 159, S8, 154) | [i] | ||
| 123 | No OA(8158, 160, S8, 155) | [i] | ||
| 124 | No OA(8159, 161, S8, 156) | [i] | ||
| 125 | No OA(8160, 162, S8, 157) | [i] | ||
| 126 | No OA(8161, 163, S8, 158) | [i] | ||
| 127 | No OA(8162, 164, S8, 159) | [i] | ||
| 128 | No OA(8163, 165, S8, 160) | [i] | ||
| 129 | No OA(8164, 166, S8, 161) | [i] | ||
| 130 | No OA(8165, 167, S8, 162) | [i] | ||
| 131 | No OA(8166, 168, S8, 163) | [i] | ||
| 132 | No OA(8167, 169, S8, 164) | [i] | ||
| 133 | No OA(8168, 170, S8, 165) | [i] | ||
| 134 | No OA(8169, 171, S8, 166) | [i] | ||
| 135 | No OA(8170, 172, S8, 167) | [i] | ||
| 136 | No OA(8171, 173, S8, 168) | [i] | ||
| 137 | No OA(8172, 174, S8, 169) | [i] | ||
| 138 | No OA(8173, 175, S8, 170) | [i] | ||
| 139 | No OOA(8109, 37, S8, 3, 106) | [i] | m-Reduction for OOAs | |
| 140 | No OOA(835, 37, S8, 2, 32) | [i] | Depth Reduction | |
| 141 | No OOA(835, 37, S8, 3, 32) | [i] | ||
| 142 | No linear OA(836, 41, F8, 32) (dual of [41, 5, 33]-code) | [i] | Construction Y1 (Bound) | |