Information on Result #5368
There is no OA(939, 41, S9, 36), because the (dual) Plotkin bound shows that M ≥ 739 044147 071729 616580 416051 031916 488005 / 37 > 939
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(940, 42, S9, 37) | [i] | Truncation | |
| 2 | No OA(941, 43, S9, 38) | [i] | ||
| 3 | No OA(942, 44, S9, 39) | [i] | ||
| 4 | No OA(943, 45, S9, 40) | [i] | ||
| 5 | No OA(944, 46, S9, 41) | [i] | ||
| 6 | No OA(945, 47, S9, 42) | [i] | ||
| 7 | No OA(946, 48, S9, 43) | [i] | ||
| 8 | No OA(947, 49, S9, 44) | [i] | ||
| 9 | No OA(948, 50, S9, 45) | [i] | ||
| 10 | No OA(949, 51, S9, 46) | [i] | ||
| 11 | No OA(950, 52, S9, 47) | [i] | ||
| 12 | No OA(951, 53, S9, 48) | [i] | ||
| 13 | No OA(952, 54, S9, 49) | [i] | ||
| 14 | No OA(953, 55, S9, 50) | [i] | ||
| 15 | No OA(954, 56, S9, 51) | [i] | ||
| 16 | No OA(955, 57, S9, 52) | [i] | ||
| 17 | No OA(956, 58, S9, 53) | [i] | ||
| 18 | No OA(957, 59, S9, 54) | [i] | ||
| 19 | No OA(958, 60, S9, 55) | [i] | ||
| 20 | No OA(959, 61, S9, 56) | [i] | ||
| 21 | No OA(960, 62, S9, 57) | [i] | ||
| 22 | No OA(961, 63, S9, 58) | [i] | ||
| 23 | No OA(962, 64, S9, 59) | [i] | ||
| 24 | No OA(963, 65, S9, 60) | [i] | ||
| 25 | No OA(964, 66, S9, 61) | [i] | ||
| 26 | No OA(965, 67, S9, 62) | [i] | ||
| 27 | No OA(966, 68, S9, 63) | [i] | ||
| 28 | No OA(967, 69, S9, 64) | [i] | ||
| 29 | No OA(968, 70, S9, 65) | [i] | ||
| 30 | No OA(969, 71, S9, 66) | [i] | ||
| 31 | No OA(970, 72, S9, 67) | [i] | ||
| 32 | No OA(971, 73, S9, 68) | [i] | ||
| 33 | No OA(972, 74, S9, 69) | [i] | ||
| 34 | No OA(973, 75, S9, 70) | [i] | ||
| 35 | No OA(974, 76, S9, 71) | [i] | ||
| 36 | No OA(975, 77, S9, 72) | [i] | ||
| 37 | No OA(976, 78, S9, 73) | [i] | ||
| 38 | No OA(977, 79, S9, 74) | [i] | ||
| 39 | No OA(978, 80, S9, 75) | [i] | ||
| 40 | No OA(979, 81, S9, 76) | [i] | ||
| 41 | No OA(980, 82, S9, 77) | [i] | ||
| 42 | No OA(981, 83, S9, 78) | [i] | ||
| 43 | No OA(982, 84, S9, 79) | [i] | ||
| 44 | No OA(983, 85, S9, 80) | [i] | ||
| 45 | No OA(984, 86, S9, 81) | [i] | ||
| 46 | No OA(985, 87, S9, 82) | [i] | ||
| 47 | No OA(986, 88, S9, 83) | [i] | ||
| 48 | No OA(987, 89, S9, 84) | [i] | ||
| 49 | No OA(988, 90, S9, 85) | [i] | ||
| 50 | No OA(989, 91, S9, 86) | [i] | ||
| 51 | No OA(990, 92, S9, 87) | [i] | ||
| 52 | No OA(991, 93, S9, 88) | [i] | ||
| 53 | No OA(992, 94, S9, 89) | [i] | ||
| 54 | No OA(993, 95, S9, 90) | [i] | ||
| 55 | No OA(994, 96, S9, 91) | [i] | ||
| 56 | No OA(995, 97, S9, 92) | [i] | ||
| 57 | No OA(996, 98, S9, 93) | [i] | ||
| 58 | No OA(997, 99, S9, 94) | [i] | ||
| 59 | No OA(998, 100, S9, 95) | [i] | ||
| 60 | No OA(999, 101, S9, 96) | [i] | ||
| 61 | No OA(9100, 102, S9, 97) | [i] | ||
| 62 | No OA(9101, 103, S9, 98) | [i] | ||
| 63 | No OA(9102, 104, S9, 99) | [i] | ||
| 64 | No OA(9103, 105, S9, 100) | [i] | ||
| 65 | No OA(9104, 106, S9, 101) | [i] | ||
| 66 | No OA(9105, 107, S9, 102) | [i] | ||
| 67 | No OA(9106, 108, S9, 103) | [i] | ||
| 68 | No OA(9107, 109, S9, 104) | [i] | ||
| 69 | No OA(9108, 110, S9, 105) | [i] | ||
| 70 | No OA(9109, 111, S9, 106) | [i] | ||
| 71 | No OA(9110, 112, S9, 107) | [i] | ||
| 72 | No OA(9111, 113, S9, 108) | [i] | ||
| 73 | No OA(9112, 114, S9, 109) | [i] | ||
| 74 | No OA(9113, 115, S9, 110) | [i] | ||
| 75 | No OA(9114, 116, S9, 111) | [i] | ||
| 76 | No OA(9115, 117, S9, 112) | [i] | ||
| 77 | No OA(9116, 118, S9, 113) | [i] | ||
| 78 | No OA(9117, 119, S9, 114) | [i] | ||
| 79 | No OA(9118, 120, S9, 115) | [i] | ||
| 80 | No OA(9119, 121, S9, 116) | [i] | ||
| 81 | No OA(9120, 122, S9, 117) | [i] | ||
| 82 | No OA(9121, 123, S9, 118) | [i] | ||
| 83 | No OA(9122, 124, S9, 119) | [i] | ||
| 84 | No OA(9123, 125, S9, 120) | [i] | ||
| 85 | No OA(9124, 126, S9, 121) | [i] | ||
| 86 | No OA(9125, 127, S9, 122) | [i] | ||
| 87 | No OA(9126, 128, S9, 123) | [i] | ||
| 88 | No OA(9127, 129, S9, 124) | [i] | ||
| 89 | No OA(9128, 130, S9, 125) | [i] | ||
| 90 | No OA(9129, 131, S9, 126) | [i] | ||
| 91 | No OA(9130, 132, S9, 127) | [i] | ||
| 92 | No OA(9131, 133, S9, 128) | [i] | ||
| 93 | No OA(9132, 134, S9, 129) | [i] | ||
| 94 | No OA(9133, 135, S9, 130) | [i] | ||
| 95 | No OA(9134, 136, S9, 131) | [i] | ||
| 96 | No OA(9135, 137, S9, 132) | [i] | ||
| 97 | No OA(9136, 138, S9, 133) | [i] | ||
| 98 | No OA(9137, 139, S9, 134) | [i] | ||
| 99 | No OA(9138, 140, S9, 135) | [i] | ||
| 100 | No OA(9139, 141, S9, 136) | [i] | ||
| 101 | No OA(9140, 142, S9, 137) | [i] | ||
| 102 | No OA(9141, 143, S9, 138) | [i] | ||
| 103 | No OA(9142, 144, S9, 139) | [i] | ||
| 104 | No OA(9143, 145, S9, 140) | [i] | ||
| 105 | No OA(9144, 146, S9, 141) | [i] | ||
| 106 | No OA(9145, 147, S9, 142) | [i] | ||
| 107 | No OA(9146, 148, S9, 143) | [i] | ||
| 108 | No OA(9147, 149, S9, 144) | [i] | ||
| 109 | No OA(9148, 150, S9, 145) | [i] | ||
| 110 | No OA(9149, 151, S9, 146) | [i] | ||
| 111 | No OA(9150, 152, S9, 147) | [i] | ||
| 112 | No OOA(9121, 41, S9, 3, 118) | [i] | m-Reduction for OOAs | |
| 113 | No OOA(939, 41, S9, 2, 36) | [i] | Depth Reduction | |
| 114 | No OOA(939, 41, S9, 3, 36) | [i] | ||
| 115 | No linear OA(940, 45, F9, 36) (dual of [45, 5, 37]-code) | [i] | Construction Y1 (Bound) | |