Information on Result #61911
There is no OA(8114, 130, S8, 98), because the linear programming bound shows that M ≥ 35521 613223 977817 808600 584786 921883 743646 382533 111114 232182 834553 852288 928742 958552 390470 329316 634829 110683 210776 313856 / 3847 120524 212625 > 8114
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(8115, 131, S8, 99) | [i] | Truncation | |
| 2 | No OA(8116, 132, S8, 100) | [i] | ||
| 3 | No OOA(8115, 130, S8, 2, 99) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(8116, 130, S8, 2, 100) | [i] | ||
| 5 | No OOA(8117, 130, S8, 2, 101) | [i] | ||
| 6 | No OOA(8118, 130, S8, 2, 102) | [i] | ||
| 7 | No OOA(8120, 130, S8, 2, 104) | [i] | ||
| 8 | No OOA(8121, 130, S8, 2, 105) | [i] | ||
| 9 | No OOA(8122, 130, S8, 2, 106) | [i] | ||
| 10 | No OOA(8123, 130, S8, 2, 107) | [i] | ||
| 11 | No OOA(8124, 130, S8, 2, 108) | [i] | ||
| 12 | No OOA(8125, 130, S8, 2, 109) | [i] | ||
| 13 | No OOA(8126, 130, S8, 2, 110) | [i] | ||
| 14 | No OOA(8127, 130, S8, 2, 111) | [i] | ||
| 15 | No OOA(8128, 130, S8, 2, 112) | [i] | ||
| 16 | No OOA(8129, 130, S8, 2, 113) | [i] | ||
| 17 | No OOA(8130, 130, S8, 2, 114) | [i] | ||
| 18 | No OOA(8131, 130, S8, 2, 115) | [i] | ||
| 19 | No OOA(8132, 130, S8, 2, 116) | [i] | ||
| 20 | No OOA(8133, 130, S8, 2, 117) | [i] | ||
| 21 | No OOA(8134, 130, S8, 2, 118) | [i] | ||
| 22 | No OOA(8135, 130, S8, 2, 119) | [i] | ||
| 23 | No OOA(8136, 130, S8, 2, 120) | [i] | ||
| 24 | No OOA(8137, 130, S8, 2, 121) | [i] | ||
| 25 | No OOA(8138, 130, S8, 2, 122) | [i] | ||
| 26 | No OOA(8139, 130, S8, 2, 123) | [i] | ||
| 27 | No OOA(8140, 130, S8, 2, 124) | [i] | ||
| 28 | No OOA(8141, 130, S8, 2, 125) | [i] | ||
| 29 | No OOA(8142, 130, S8, 2, 126) | [i] | ||
| 30 | No OOA(8143, 130, S8, 2, 127) | [i] | ||
| 31 | No OOA(8144, 130, S8, 2, 128) | [i] | ||
| 32 | No OOA(8145, 130, S8, 2, 129) | [i] | ||
| 33 | No OOA(8146, 130, S8, 2, 130) | [i] | ||
| 34 | No OOA(8147, 130, S8, 2, 131) | [i] | ||
| 35 | No OOA(8148, 130, S8, 2, 132) | [i] | ||
| 36 | No OOA(8149, 130, S8, 2, 133) | [i] | ||
| 37 | No OOA(8150, 130, S8, 2, 134) | [i] | ||
| 38 | No OOA(8151, 130, S8, 2, 135) | [i] | ||
| 39 | No OOA(8152, 130, S8, 2, 136) | [i] | ||
| 40 | No OOA(8153, 130, S8, 2, 137) | [i] | ||
| 41 | No OOA(8154, 130, S8, 2, 138) | [i] | ||
| 42 | No OOA(8155, 130, S8, 2, 139) | [i] | ||
| 43 | No OOA(8156, 130, S8, 2, 140) | [i] | ||
| 44 | No OOA(8157, 130, S8, 2, 141) | [i] | ||
| 45 | No OOA(8158, 130, S8, 2, 142) | [i] | ||
| 46 | No OOA(8159, 130, S8, 2, 143) | [i] | ||
| 47 | No OOA(8160, 130, S8, 2, 144) | [i] | ||
| 48 | No OOA(8161, 130, S8, 2, 145) | [i] | ||
| 49 | No OOA(8162, 130, S8, 2, 146) | [i] | ||
| 50 | No OOA(8163, 130, S8, 2, 147) | [i] | ||
| 51 | No OOA(8164, 130, S8, 2, 148) | [i] | ||
| 52 | No OOA(8165, 130, S8, 2, 149) | [i] | ||
| 53 | No OOA(8166, 130, S8, 2, 150) | [i] | ||
| 54 | No OOA(8167, 130, S8, 2, 151) | [i] | ||
| 55 | No OOA(8168, 130, S8, 2, 152) | [i] | ||
| 56 | No OOA(8169, 130, S8, 2, 153) | [i] | ||
| 57 | No OOA(8170, 130, S8, 2, 154) | [i] | ||
| 58 | No OOA(8171, 130, S8, 2, 155) | [i] | ||
| 59 | No OOA(8172, 130, S8, 2, 156) | [i] | ||
| 60 | No OOA(8173, 130, S8, 2, 157) | [i] | ||
| 61 | No OOA(8114, 130, S8, 2, 98) | [i] | Depth Reduction | |
| 62 | No OOA(8114, 130, S8, 3, 98) | [i] | ||
| 63 | No (16, 114, 130)-net in base 8 | [i] | Extracting Embedded Orthogonal Array | |