Information on Result #60094
There is no OA(4109, 123, S4, 80), because the linear programming bound shows that M ≥ 64 104606 306644 111085 844977 797492 841266 115540 167873 142109 538693 549498 826752 / 127 155457 > 4109
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(4110, 124, S4, 81) | [i] | Truncation | |
| 2 | No OOA(4110, 123, S4, 2, 81) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(4111, 123, S4, 2, 82) | [i] | ||
| 4 | No OOA(4113, 123, S4, 2, 84) | [i] | ||
| 5 | No OOA(4114, 123, S4, 2, 85) | [i] | ||
| 6 | No OOA(4115, 123, S4, 2, 86) | [i] | ||
| 7 | No OOA(4116, 123, S4, 2, 87) | [i] | ||
| 8 | No OOA(4117, 123, S4, 2, 88) | [i] | ||
| 9 | No OOA(4118, 123, S4, 2, 89) | [i] | ||
| 10 | No OOA(4119, 123, S4, 2, 90) | [i] | ||
| 11 | No OOA(4120, 123, S4, 2, 91) | [i] | ||
| 12 | No OOA(4121, 123, S4, 2, 92) | [i] | ||
| 13 | No OOA(4122, 123, S4, 2, 93) | [i] | ||
| 14 | No OOA(4123, 123, S4, 2, 94) | [i] | ||
| 15 | No OOA(4124, 123, S4, 2, 95) | [i] | ||
| 16 | No OOA(4125, 123, S4, 2, 96) | [i] | ||
| 17 | No OOA(4126, 123, S4, 2, 97) | [i] | ||
| 18 | No OOA(4127, 123, S4, 2, 98) | [i] | ||
| 19 | No OOA(4128, 123, S4, 2, 99) | [i] | ||
| 20 | No OOA(4129, 123, S4, 2, 100) | [i] | ||
| 21 | No OOA(4130, 123, S4, 2, 101) | [i] | ||
| 22 | No OOA(4131, 123, S4, 2, 102) | [i] | ||
| 23 | No OOA(4132, 123, S4, 2, 103) | [i] | ||
| 24 | No OOA(4133, 123, S4, 2, 104) | [i] | ||
| 25 | No OOA(4134, 123, S4, 2, 105) | [i] | ||
| 26 | No OOA(4135, 123, S4, 2, 106) | [i] | ||
| 27 | No OOA(4136, 123, S4, 2, 107) | [i] | ||
| 28 | No OOA(4137, 123, S4, 2, 108) | [i] | ||
| 29 | No OOA(4138, 123, S4, 2, 109) | [i] | ||
| 30 | No OOA(4139, 123, S4, 2, 110) | [i] | ||
| 31 | No OOA(4140, 123, S4, 2, 111) | [i] | ||
| 32 | No OOA(4141, 123, S4, 2, 112) | [i] | ||
| 33 | No OOA(4142, 123, S4, 2, 113) | [i] | ||
| 34 | No OOA(4143, 123, S4, 2, 114) | [i] | ||
| 35 | No OOA(4144, 123, S4, 2, 115) | [i] | ||
| 36 | No OOA(4145, 123, S4, 2, 116) | [i] | ||
| 37 | No OOA(4146, 123, S4, 2, 117) | [i] | ||
| 38 | No OOA(4147, 123, S4, 2, 118) | [i] | ||
| 39 | No OOA(4148, 123, S4, 2, 119) | [i] | ||
| 40 | No OOA(4149, 123, S4, 2, 120) | [i] | ||
| 41 | No OOA(4150, 123, S4, 2, 121) | [i] | ||
| 42 | No OOA(4151, 123, S4, 2, 122) | [i] | ||
| 43 | No OOA(4152, 123, S4, 2, 123) | [i] | ||
| 44 | No OOA(4153, 123, S4, 2, 124) | [i] | ||
| 45 | No OOA(4154, 123, S4, 2, 125) | [i] | ||
| 46 | No OOA(4155, 123, S4, 2, 126) | [i] | ||
| 47 | No OOA(4156, 123, S4, 2, 127) | [i] | ||
| 48 | No OOA(4157, 123, S4, 2, 128) | [i] | ||
| 49 | No OOA(4158, 123, S4, 2, 129) | [i] | ||
| 50 | No OOA(4159, 123, S4, 2, 130) | [i] | ||
| 51 | No OOA(4160, 123, S4, 2, 131) | [i] | ||
| 52 | No OOA(4161, 123, S4, 2, 132) | [i] | ||
| 53 | No OOA(4162, 123, S4, 2, 133) | [i] | ||
| 54 | No OOA(4163, 123, S4, 2, 134) | [i] | ||
| 55 | No OOA(4164, 123, S4, 2, 135) | [i] | ||
| 56 | No OOA(4165, 123, S4, 2, 136) | [i] | ||
| 57 | No OOA(4166, 123, S4, 2, 137) | [i] | ||
| 58 | No OOA(4167, 123, S4, 2, 138) | [i] | ||
| 59 | No OOA(4168, 123, S4, 2, 139) | [i] | ||
| 60 | No OOA(4169, 123, S4, 2, 140) | [i] | ||
| 61 | No OOA(4170, 123, S4, 2, 141) | [i] | ||
| 62 | No OOA(4171, 123, S4, 2, 142) | [i] | ||
| 63 | No OOA(4172, 123, S4, 2, 143) | [i] | ||
| 64 | No OOA(4173, 123, S4, 2, 144) | [i] | ||
| 65 | No OOA(4174, 123, S4, 2, 145) | [i] | ||
| 66 | No OOA(4175, 123, S4, 2, 146) | [i] | ||
| 67 | No OOA(4176, 123, S4, 2, 147) | [i] | ||
| 68 | No OOA(4177, 123, S4, 2, 148) | [i] | ||
| 69 | No OOA(4178, 123, S4, 2, 149) | [i] | ||
| 70 | No OOA(4179, 123, S4, 2, 150) | [i] | ||
| 71 | No OOA(4180, 123, S4, 2, 151) | [i] | ||
| 72 | No OOA(4181, 123, S4, 2, 152) | [i] | ||
| 73 | No OOA(4182, 123, S4, 2, 153) | [i] | ||
| 74 | No OOA(4183, 123, S4, 2, 154) | [i] | ||
| 75 | No OOA(4184, 123, S4, 2, 155) | [i] | ||
| 76 | No OOA(4185, 123, S4, 2, 156) | [i] | ||
| 77 | No OOA(4186, 123, S4, 2, 157) | [i] | ||
| 78 | No OOA(4187, 123, S4, 2, 158) | [i] | ||
| 79 | No OOA(4188, 123, S4, 2, 159) | [i] | ||
| 80 | No OOA(4189, 123, S4, 2, 160) | [i] | ||
| 81 | No OOA(4190, 123, S4, 2, 161) | [i] | ||
| 82 | No OOA(4191, 123, S4, 2, 162) | [i] | ||
| 83 | No OOA(4192, 123, S4, 2, 163) | [i] | ||
| 84 | No OOA(4193, 123, S4, 2, 164) | [i] | ||
| 85 | No OOA(4194, 123, S4, 2, 165) | [i] | ||
| 86 | No OOA(4195, 123, S4, 2, 166) | [i] | ||
| 87 | No OOA(4196, 123, S4, 2, 167) | [i] | ||
| 88 | No OOA(4197, 123, S4, 2, 168) | [i] | ||
| 89 | No OOA(4198, 123, S4, 2, 169) | [i] | ||
| 90 | No OOA(4199, 123, S4, 2, 170) | [i] | ||
| 91 | No OOA(4200, 123, S4, 2, 171) | [i] | ||
| 92 | No OOA(4201, 123, S4, 2, 172) | [i] | ||
| 93 | No OOA(4202, 123, S4, 2, 173) | [i] | ||
| 94 | No OOA(4203, 123, S4, 2, 174) | [i] | ||
| 95 | No OOA(4204, 123, S4, 2, 175) | [i] | ||
| 96 | No OOA(4205, 123, S4, 2, 176) | [i] | ||
| 97 | No OOA(4109, 123, S4, 2, 80) | [i] | Depth Reduction | |
| 98 | No OOA(4109, 123, S4, 3, 80) | [i] | ||
| 99 | No (29, 109, 123)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |