Information on Result #61946
There is no OA(8128, 144, S8, 110), because the linear programming bound shows that M ≥ 6109 893966 434273 613815 828543 318095 703793 603744 881950 919851 825987 742070 359262 466307 770153 217353 472069 496822 008994 926770 763501 404160 / 124 535855 141787 > 8128
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(8129, 145, S8, 111) | [i] | Truncation | |
| 2 | No OA(8130, 146, S8, 112) | [i] | ||
| 3 | No OA(8131, 147, S8, 113) | [i] | ||
| 4 | No OA(8132, 148, S8, 114) | [i] | ||
| 5 | No OA(8133, 149, S8, 115) | [i] | ||
| 6 | No OA(8134, 150, S8, 116) | [i] | ||
| 7 | No OA(8135, 151, S8, 117) | [i] | ||
| 8 | No OA(8136, 152, S8, 118) | [i] | ||
| 9 | No OA(8137, 153, S8, 119) | [i] | ||
| 10 | No OA(8138, 154, S8, 120) | [i] | ||
| 11 | No OA(8139, 155, S8, 121) | [i] | ||
| 12 | No OA(8140, 156, S8, 122) | [i] | ||
| 13 | No OA(8141, 157, S8, 123) | [i] | ||
| 14 | No OA(8142, 158, S8, 124) | [i] | ||
| 15 | No OA(8143, 159, S8, 125) | [i] | ||
| 16 | No OA(8144, 160, S8, 126) | [i] | ||
| 17 | No OA(8145, 161, S8, 127) | [i] | ||
| 18 | No OA(8146, 162, S8, 128) | [i] | ||
| 19 | No OA(8147, 163, S8, 129) | [i] | ||
| 20 | No OA(8148, 164, S8, 130) | [i] | ||
| 21 | No OA(8149, 165, S8, 131) | [i] | ||
| 22 | No OA(8150, 166, S8, 132) | [i] | ||
| 23 | No OA(8151, 167, S8, 133) | [i] | ||
| 24 | No OA(8152, 168, S8, 134) | [i] | ||
| 25 | No OA(8153, 169, S8, 135) | [i] | ||
| 26 | No OA(8154, 170, S8, 136) | [i] | ||
| 27 | No OA(8155, 171, S8, 137) | [i] | ||
| 28 | No OA(8156, 172, S8, 138) | [i] | ||
| 29 | No OA(8157, 173, S8, 139) | [i] | ||
| 30 | No OA(8158, 174, S8, 140) | [i] | ||
| 31 | No OA(8159, 175, S8, 141) | [i] | ||
| 32 | No OOA(8129, 144, S8, 2, 111) | [i] | m-Reduction for OOAs | |
| 33 | No OOA(8130, 144, S8, 2, 112) | [i] | ||
| 34 | No OOA(8131, 144, S8, 2, 113) | [i] | ||
| 35 | No OOA(8132, 144, S8, 2, 114) | [i] | ||
| 36 | No OOA(8133, 144, S8, 2, 115) | [i] | ||
| 37 | No OOA(8134, 144, S8, 2, 116) | [i] | ||
| 38 | No OOA(8135, 144, S8, 2, 117) | [i] | ||
| 39 | No OOA(8136, 144, S8, 2, 118) | [i] | ||
| 40 | No OOA(8137, 144, S8, 2, 119) | [i] | ||
| 41 | No OOA(8138, 144, S8, 2, 120) | [i] | ||
| 42 | No OOA(8139, 144, S8, 2, 121) | [i] | ||
| 43 | No OOA(8140, 144, S8, 2, 122) | [i] | ||
| 44 | No OOA(8141, 144, S8, 2, 123) | [i] | ||
| 45 | No OOA(8142, 144, S8, 2, 124) | [i] | ||
| 46 | No OOA(8143, 144, S8, 2, 125) | [i] | ||
| 47 | No OOA(8144, 144, S8, 2, 126) | [i] | ||
| 48 | No OOA(8145, 144, S8, 2, 127) | [i] | ||
| 49 | No OOA(8146, 144, S8, 2, 128) | [i] | ||
| 50 | No OOA(8147, 144, S8, 2, 129) | [i] | ||
| 51 | No OOA(8148, 144, S8, 2, 130) | [i] | ||
| 52 | No OOA(8149, 144, S8, 2, 131) | [i] | ||
| 53 | No OOA(8150, 144, S8, 2, 132) | [i] | ||
| 54 | No OOA(8151, 144, S8, 2, 133) | [i] | ||
| 55 | No OOA(8152, 144, S8, 2, 134) | [i] | ||
| 56 | No OOA(8153, 144, S8, 2, 135) | [i] | ||
| 57 | No OOA(8154, 144, S8, 2, 136) | [i] | ||
| 58 | No OOA(8155, 144, S8, 2, 137) | [i] | ||
| 59 | No OOA(8156, 144, S8, 2, 138) | [i] | ||
| 60 | No OOA(8157, 144, S8, 2, 139) | [i] | ||
| 61 | No OOA(8158, 144, S8, 2, 140) | [i] | ||
| 62 | No OOA(8159, 144, S8, 2, 141) | [i] | ||
| 63 | No OOA(8160, 144, S8, 2, 142) | [i] | ||
| 64 | No OOA(8161, 144, S8, 2, 143) | [i] | ||
| 65 | No OOA(8162, 144, S8, 2, 144) | [i] | ||
| 66 | No OOA(8163, 144, S8, 2, 145) | [i] | ||
| 67 | No OOA(8164, 144, S8, 2, 146) | [i] | ||
| 68 | No OOA(8165, 144, S8, 2, 147) | [i] | ||
| 69 | No OOA(8166, 144, S8, 2, 148) | [i] | ||
| 70 | No OOA(8167, 144, S8, 2, 149) | [i] | ||
| 71 | No OOA(8168, 144, S8, 2, 150) | [i] | ||
| 72 | No OOA(8169, 144, S8, 2, 151) | [i] | ||
| 73 | No OOA(8170, 144, S8, 2, 152) | [i] | ||
| 74 | No OOA(8171, 144, S8, 2, 153) | [i] | ||
| 75 | No OOA(8172, 144, S8, 2, 154) | [i] | ||
| 76 | No OOA(8173, 144, S8, 2, 155) | [i] | ||
| 77 | No OOA(8128, 144, S8, 2, 110) | [i] | Depth Reduction | |
| 78 | No OOA(8128, 144, S8, 3, 110) | [i] | ||
| 79 | No (18, 128, 144)-net in base 8 | [i] | Extracting Embedded Orthogonal Array | |
| 80 | No linear OA(8129, 230, F8, 110) (dual of [230, 101, 111]-code) | [i] | Construction Y1 (Bound) | |