Information on Result #60001
There is no OA(490, 100, S4, 67), because the linear programming bound shows that M ≥ 295023 781563 173995 900282 102890 760321 556810 705889 809622 106112 / 187663 > 490
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(491, 101, S4, 68) | [i] | Truncation | |
| 2 | No OA(492, 102, S4, 69) | [i] | ||
| 3 | No OA(493, 103, S4, 70) | [i] | ||
| 4 | No OOA(491, 100, S4, 2, 68) | [i] | m-Reduction for OOAs | |
| 5 | No OOA(492, 100, S4, 2, 69) | [i] | ||
| 6 | No OOA(493, 100, S4, 2, 70) | [i] | ||
| 7 | No OOA(494, 100, S4, 2, 71) | [i] | ||
| 8 | No OOA(495, 100, S4, 2, 72) | [i] | ||
| 9 | No OOA(496, 100, S4, 2, 73) | [i] | ||
| 10 | No OOA(497, 100, S4, 2, 74) | [i] | ||
| 11 | No OOA(498, 100, S4, 2, 75) | [i] | ||
| 12 | No OOA(499, 100, S4, 2, 76) | [i] | ||
| 13 | No OOA(4100, 100, S4, 2, 77) | [i] | ||
| 14 | No OOA(4101, 100, S4, 2, 78) | [i] | ||
| 15 | No OOA(4102, 100, S4, 2, 79) | [i] | ||
| 16 | No OOA(4103, 100, S4, 2, 80) | [i] | ||
| 17 | No OOA(4104, 100, S4, 2, 81) | [i] | ||
| 18 | No OOA(4105, 100, S4, 2, 82) | [i] | ||
| 19 | No OOA(4106, 100, S4, 2, 83) | [i] | ||
| 20 | No OOA(4107, 100, S4, 2, 84) | [i] | ||
| 21 | No OOA(4108, 100, S4, 2, 85) | [i] | ||
| 22 | No OOA(4109, 100, S4, 2, 86) | [i] | ||
| 23 | No OOA(4110, 100, S4, 2, 87) | [i] | ||
| 24 | No OOA(4111, 100, S4, 2, 88) | [i] | ||
| 25 | No OOA(4112, 100, S4, 2, 89) | [i] | ||
| 26 | No OOA(4113, 100, S4, 2, 90) | [i] | ||
| 27 | No OOA(4114, 100, S4, 2, 91) | [i] | ||
| 28 | No OOA(4115, 100, S4, 2, 92) | [i] | ||
| 29 | No OOA(4116, 100, S4, 2, 93) | [i] | ||
| 30 | No OOA(4117, 100, S4, 2, 94) | [i] | ||
| 31 | No OOA(4118, 100, S4, 2, 95) | [i] | ||
| 32 | No OOA(4119, 100, S4, 2, 96) | [i] | ||
| 33 | No OOA(4120, 100, S4, 2, 97) | [i] | ||
| 34 | No OOA(4121, 100, S4, 2, 98) | [i] | ||
| 35 | No OOA(4122, 100, S4, 2, 99) | [i] | ||
| 36 | No OOA(4123, 100, S4, 2, 100) | [i] | ||
| 37 | No OOA(4124, 100, S4, 2, 101) | [i] | ||
| 38 | No OOA(4125, 100, S4, 2, 102) | [i] | ||
| 39 | No OOA(4126, 100, S4, 2, 103) | [i] | ||
| 40 | No OOA(4127, 100, S4, 2, 104) | [i] | ||
| 41 | No OOA(4128, 100, S4, 2, 105) | [i] | ||
| 42 | No OOA(4129, 100, S4, 2, 106) | [i] | ||
| 43 | No OOA(4130, 100, S4, 2, 107) | [i] | ||
| 44 | No OOA(4131, 100, S4, 2, 108) | [i] | ||
| 45 | No OOA(4132, 100, S4, 2, 109) | [i] | ||
| 46 | No OOA(4133, 100, S4, 2, 110) | [i] | ||
| 47 | No OOA(4134, 100, S4, 2, 111) | [i] | ||
| 48 | No OOA(4135, 100, S4, 2, 112) | [i] | ||
| 49 | No OOA(4136, 100, S4, 2, 113) | [i] | ||
| 50 | No OOA(4137, 100, S4, 2, 114) | [i] | ||
| 51 | No OOA(4138, 100, S4, 2, 115) | [i] | ||
| 52 | No OOA(4139, 100, S4, 2, 116) | [i] | ||
| 53 | No OOA(4140, 100, S4, 2, 117) | [i] | ||
| 54 | No OOA(4141, 100, S4, 2, 118) | [i] | ||
| 55 | No OOA(4142, 100, S4, 2, 119) | [i] | ||
| 56 | No OOA(4143, 100, S4, 2, 120) | [i] | ||
| 57 | No OOA(4144, 100, S4, 2, 121) | [i] | ||
| 58 | No OOA(4145, 100, S4, 2, 122) | [i] | ||
| 59 | No OOA(4146, 100, S4, 2, 123) | [i] | ||
| 60 | No OOA(4147, 100, S4, 2, 124) | [i] | ||
| 61 | No OOA(4148, 100, S4, 2, 125) | [i] | ||
| 62 | No OOA(4149, 100, S4, 2, 126) | [i] | ||
| 63 | No OOA(4150, 100, S4, 2, 127) | [i] | ||
| 64 | No OOA(4151, 100, S4, 2, 128) | [i] | ||
| 65 | No OOA(4152, 100, S4, 2, 129) | [i] | ||
| 66 | No OOA(4153, 100, S4, 2, 130) | [i] | ||
| 67 | No OOA(4154, 100, S4, 2, 131) | [i] | ||
| 68 | No OOA(4155, 100, S4, 2, 132) | [i] | ||
| 69 | No OOA(4156, 100, S4, 2, 133) | [i] | ||
| 70 | No OOA(4157, 100, S4, 2, 134) | [i] | ||
| 71 | No OOA(4158, 100, S4, 2, 135) | [i] | ||
| 72 | No OOA(4159, 100, S4, 2, 136) | [i] | ||
| 73 | No OOA(4160, 100, S4, 2, 137) | [i] | ||
| 74 | No OOA(4161, 100, S4, 2, 138) | [i] | ||
| 75 | No OOA(4162, 100, S4, 2, 139) | [i] | ||
| 76 | No OOA(4163, 100, S4, 2, 140) | [i] | ||
| 77 | No OOA(4164, 100, S4, 2, 141) | [i] | ||
| 78 | No OOA(4165, 100, S4, 2, 142) | [i] | ||
| 79 | No OOA(4166, 100, S4, 2, 143) | [i] | ||
| 80 | No OOA(490, 100, S4, 2, 67) | [i] | Depth Reduction | |
| 81 | No OOA(490, 100, S4, 3, 67) | [i] | ||
| 82 | No (23, 90, 100)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |