Information on Result #62167
There is no OA(950, 57, S9, 45), because the linear programming bound shows that M ≥ 298105 180919 330726 109440 883140 160422 177625 734983 340421 / 537625 > 950
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(951, 58, S9, 46) | [i] | Truncation | |
| 2 | No OA(952, 59, S9, 47) | [i] | ||
| 3 | No OOA(951, 57, S9, 2, 46) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(952, 57, S9, 2, 47) | [i] | ||
| 5 | No OOA(953, 57, S9, 2, 48) | [i] | ||
| 6 | No OOA(954, 57, S9, 2, 49) | [i] | ||
| 7 | No OOA(955, 57, S9, 2, 50) | [i] | ||
| 8 | No OOA(956, 57, S9, 2, 51) | [i] | ||
| 9 | No OOA(957, 57, S9, 2, 52) | [i] | ||
| 10 | No OOA(958, 57, S9, 2, 53) | [i] | ||
| 11 | No OOA(959, 57, S9, 2, 54) | [i] | ||
| 12 | No OOA(960, 57, S9, 2, 55) | [i] | ||
| 13 | No OOA(961, 57, S9, 2, 56) | [i] | ||
| 14 | No OOA(962, 57, S9, 2, 57) | [i] | ||
| 15 | No OOA(963, 57, S9, 2, 58) | [i] | ||
| 16 | No OOA(964, 57, S9, 2, 59) | [i] | ||
| 17 | No OOA(965, 57, S9, 2, 60) | [i] | ||
| 18 | No OOA(966, 57, S9, 2, 61) | [i] | ||
| 19 | No OOA(967, 57, S9, 2, 62) | [i] | ||
| 20 | No OOA(968, 57, S9, 2, 63) | [i] | ||
| 21 | No OOA(969, 57, S9, 2, 64) | [i] | ||
| 22 | No OOA(970, 57, S9, 2, 65) | [i] | ||
| 23 | No OOA(971, 57, S9, 2, 66) | [i] | ||
| 24 | No OOA(972, 57, S9, 2, 67) | [i] | ||
| 25 | No OOA(973, 57, S9, 2, 68) | [i] | ||
| 26 | No OOA(974, 57, S9, 2, 69) | [i] | ||
| 27 | No OOA(975, 57, S9, 2, 70) | [i] | ||
| 28 | No OOA(976, 57, S9, 2, 71) | [i] | ||
| 29 | No OOA(977, 57, S9, 2, 72) | [i] | ||
| 30 | No OOA(978, 57, S9, 2, 73) | [i] | ||
| 31 | No OOA(979, 57, S9, 2, 74) | [i] | ||
| 32 | No OOA(980, 57, S9, 2, 75) | [i] | ||
| 33 | No OOA(981, 57, S9, 2, 76) | [i] | ||
| 34 | No OOA(982, 57, S9, 2, 77) | [i] | ||
| 35 | No OOA(983, 57, S9, 2, 78) | [i] | ||
| 36 | No OOA(984, 57, S9, 2, 79) | [i] | ||
| 37 | No OOA(985, 57, S9, 2, 80) | [i] | ||
| 38 | No OOA(986, 57, S9, 2, 81) | [i] | ||
| 39 | No OOA(987, 57, S9, 2, 82) | [i] | ||
| 40 | No OOA(988, 57, S9, 2, 83) | [i] | ||
| 41 | No OOA(989, 57, S9, 2, 84) | [i] | ||
| 42 | No OOA(990, 57, S9, 2, 85) | [i] | ||
| 43 | No OOA(991, 57, S9, 2, 86) | [i] | ||
| 44 | No OOA(992, 57, S9, 2, 87) | [i] | ||
| 45 | No OOA(993, 57, S9, 2, 88) | [i] | ||
| 46 | No OOA(994, 57, S9, 2, 89) | [i] | ||
| 47 | No OOA(995, 57, S9, 2, 90) | [i] | ||
| 48 | No OOA(996, 57, S9, 2, 91) | [i] | ||
| 49 | No OOA(997, 57, S9, 2, 92) | [i] | ||
| 50 | No OOA(998, 57, S9, 2, 93) | [i] | ||
| 51 | No OOA(999, 57, S9, 2, 94) | [i] | ||
| 52 | No OOA(9100, 57, S9, 2, 95) | [i] | ||
| 53 | No OOA(9101, 57, S9, 2, 96) | [i] | ||
| 54 | No OOA(9102, 57, S9, 2, 97) | [i] | ||
| 55 | No OOA(9103, 57, S9, 2, 98) | [i] | ||
| 56 | No OOA(9104, 57, S9, 2, 99) | [i] | ||
| 57 | No OOA(9105, 57, S9, 2, 100) | [i] | ||
| 58 | No OOA(9106, 57, S9, 2, 101) | [i] | ||
| 59 | No OOA(9107, 57, S9, 2, 102) | [i] | ||
| 60 | No OOA(9108, 57, S9, 3, 103) | [i] | ||
| 61 | No OOA(9109, 57, S9, 3, 104) | [i] | ||
| 62 | No OOA(9110, 57, S9, 3, 105) | [i] | ||
| 63 | No OOA(9111, 57, S9, 3, 106) | [i] | ||
| 64 | No OOA(9112, 57, S9, 3, 107) | [i] | ||
| 65 | No OOA(9113, 57, S9, 3, 108) | [i] | ||
| 66 | No OOA(9114, 57, S9, 3, 109) | [i] | ||
| 67 | No OOA(9115, 57, S9, 3, 110) | [i] | ||
| 68 | No OOA(9116, 57, S9, 3, 111) | [i] | ||
| 69 | No OOA(9117, 57, S9, 3, 112) | [i] | ||
| 70 | No OOA(9118, 57, S9, 3, 113) | [i] | ||
| 71 | No OOA(9119, 57, S9, 3, 114) | [i] | ||
| 72 | No OOA(9120, 57, S9, 3, 115) | [i] | ||
| 73 | No OOA(9121, 57, S9, 3, 116) | [i] | ||
| 74 | No OOA(9122, 57, S9, 3, 117) | [i] | ||
| 75 | No OOA(9123, 57, S9, 3, 118) | [i] | ||
| 76 | No OOA(9124, 57, S9, 3, 119) | [i] | ||
| 77 | No OOA(9125, 57, S9, 3, 120) | [i] | ||
| 78 | No OOA(9126, 57, S9, 3, 121) | [i] | ||
| 79 | No OOA(9127, 57, S9, 3, 122) | [i] | ||
| 80 | No OOA(9128, 57, S9, 3, 123) | [i] | ||
| 81 | No OOA(9129, 57, S9, 3, 124) | [i] | ||
| 82 | No OOA(9130, 57, S9, 3, 125) | [i] | ||
| 83 | No OOA(9131, 57, S9, 3, 126) | [i] | ||
| 84 | No OOA(9132, 57, S9, 3, 127) | [i] | ||
| 85 | No OOA(9133, 57, S9, 3, 128) | [i] | ||
| 86 | No OOA(9134, 57, S9, 3, 129) | [i] | ||
| 87 | No OOA(9135, 57, S9, 3, 130) | [i] | ||
| 88 | No OOA(9136, 57, S9, 3, 131) | [i] | ||
| 89 | No OOA(9137, 57, S9, 3, 132) | [i] | ||
| 90 | No OOA(9138, 57, S9, 3, 133) | [i] | ||
| 91 | No OOA(9139, 57, S9, 3, 134) | [i] | ||
| 92 | No OOA(9140, 57, S9, 3, 135) | [i] | ||
| 93 | No OOA(9141, 57, S9, 3, 136) | [i] | ||
| 94 | No OOA(9142, 57, S9, 3, 137) | [i] | ||
| 95 | No OOA(9143, 57, S9, 3, 138) | [i] | ||
| 96 | No OOA(9144, 57, S9, 3, 139) | [i] | ||
| 97 | No OOA(9145, 57, S9, 3, 140) | [i] | ||
| 98 | No OOA(9146, 57, S9, 3, 141) | [i] | ||
| 99 | No OOA(9147, 57, S9, 3, 142) | [i] | ||
| 100 | No OOA(9148, 57, S9, 3, 143) | [i] | ||
| 101 | No OOA(9149, 57, S9, 3, 144) | [i] | ||
| 102 | No OOA(9150, 57, S9, 3, 145) | [i] | ||
| 103 | No OOA(950, 57, S9, 2, 45) | [i] | Depth Reduction | |
| 104 | No OOA(950, 57, S9, 3, 45) | [i] | ||
| 105 | No (5, 50, 57)-net in base 9 | [i] | Extracting Embedded Orthogonal Array | |
| 106 | No linear OA(912, 62, F9, 10) (dual of [62, 50, 11]-code) | [i] | Construction Y1 (Bound) | |