Information on Result #61908
There is no OA(8112, 123, S8, 97), because the linear programming bound shows that M ≥ 753 868551 422368 025102 923082 320311 329646 383118 594947 491827 868209 928105 237207 212534 973299 462746 351662 301987 209216 / 4898 364625 > 8112
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(8113, 124, S8, 98) | [i] | Truncation | |
| 2 | No OA(8114, 125, S8, 99) | [i] | ||
| 3 | No OA(8115, 126, S8, 100) | [i] | ||
| 4 | No OA(8116, 127, S8, 101) | [i] | ||
| 5 | No OOA(8113, 123, S8, 2, 98) | [i] | m-Reduction for OOAs | |
| 6 | No OOA(8114, 123, S8, 2, 99) | [i] | ||
| 7 | No OOA(8115, 123, S8, 2, 100) | [i] | ||
| 8 | No OOA(8116, 123, S8, 2, 101) | [i] | ||
| 9 | No OOA(8117, 123, S8, 2, 102) | [i] | ||
| 10 | No OOA(8118, 123, S8, 2, 103) | [i] | ||
| 11 | No OOA(8119, 123, S8, 2, 104) | [i] | ||
| 12 | No OOA(8120, 123, S8, 2, 105) | [i] | ||
| 13 | No OOA(8121, 123, S8, 2, 106) | [i] | ||
| 14 | No OOA(8122, 123, S8, 2, 107) | [i] | ||
| 15 | No OOA(8123, 123, S8, 2, 108) | [i] | ||
| 16 | No OOA(8124, 123, S8, 2, 109) | [i] | ||
| 17 | No OOA(8125, 123, S8, 2, 110) | [i] | ||
| 18 | No OOA(8126, 123, S8, 2, 111) | [i] | ||
| 19 | No OOA(8127, 123, S8, 2, 112) | [i] | ||
| 20 | No OOA(8128, 123, S8, 2, 113) | [i] | ||
| 21 | No OOA(8129, 123, S8, 2, 114) | [i] | ||
| 22 | No OOA(8130, 123, S8, 2, 115) | [i] | ||
| 23 | No OOA(8131, 123, S8, 2, 116) | [i] | ||
| 24 | No OOA(8132, 123, S8, 2, 117) | [i] | ||
| 25 | No OOA(8133, 123, S8, 2, 118) | [i] | ||
| 26 | No OOA(8134, 123, S8, 2, 119) | [i] | ||
| 27 | No OOA(8135, 123, S8, 2, 120) | [i] | ||
| 28 | No OOA(8136, 123, S8, 2, 121) | [i] | ||
| 29 | No OOA(8137, 123, S8, 2, 122) | [i] | ||
| 30 | No OOA(8138, 123, S8, 2, 123) | [i] | ||
| 31 | No OOA(8139, 123, S8, 2, 124) | [i] | ||
| 32 | No OOA(8140, 123, S8, 2, 125) | [i] | ||
| 33 | No OOA(8141, 123, S8, 2, 126) | [i] | ||
| 34 | No OOA(8142, 123, S8, 2, 127) | [i] | ||
| 35 | No OOA(8143, 123, S8, 2, 128) | [i] | ||
| 36 | No OOA(8144, 123, S8, 2, 129) | [i] | ||
| 37 | No OOA(8145, 123, S8, 2, 130) | [i] | ||
| 38 | No OOA(8146, 123, S8, 2, 131) | [i] | ||
| 39 | No OOA(8147, 123, S8, 2, 132) | [i] | ||
| 40 | No OOA(8148, 123, S8, 2, 133) | [i] | ||
| 41 | No OOA(8149, 123, S8, 2, 134) | [i] | ||
| 42 | No OOA(8150, 123, S8, 2, 135) | [i] | ||
| 43 | No OOA(8151, 123, S8, 2, 136) | [i] | ||
| 44 | No OOA(8152, 123, S8, 2, 137) | [i] | ||
| 45 | No OOA(8153, 123, S8, 2, 138) | [i] | ||
| 46 | No OOA(8154, 123, S8, 2, 139) | [i] | ||
| 47 | No OOA(8155, 123, S8, 2, 140) | [i] | ||
| 48 | No OOA(8156, 123, S8, 2, 141) | [i] | ||
| 49 | No OOA(8157, 123, S8, 2, 142) | [i] | ||
| 50 | No OOA(8158, 123, S8, 2, 143) | [i] | ||
| 51 | No OOA(8159, 123, S8, 2, 144) | [i] | ||
| 52 | No OOA(8160, 123, S8, 2, 145) | [i] | ||
| 53 | No OOA(8161, 123, S8, 2, 146) | [i] | ||
| 54 | No OOA(8162, 123, S8, 2, 147) | [i] | ||
| 55 | No OOA(8163, 123, S8, 2, 148) | [i] | ||
| 56 | No OOA(8164, 123, S8, 2, 149) | [i] | ||
| 57 | No OOA(8165, 123, S8, 2, 150) | [i] | ||
| 58 | No OOA(8166, 123, S8, 2, 151) | [i] | ||
| 59 | No OOA(8167, 123, S8, 2, 152) | [i] | ||
| 60 | No OOA(8168, 123, S8, 2, 153) | [i] | ||
| 61 | No OOA(8169, 123, S8, 2, 154) | [i] | ||
| 62 | No OOA(8170, 123, S8, 2, 155) | [i] | ||
| 63 | No OOA(8171, 123, S8, 2, 156) | [i] | ||
| 64 | No OOA(8172, 123, S8, 2, 157) | [i] | ||
| 65 | No OOA(8173, 123, S8, 2, 158) | [i] | ||
| 66 | No OOA(8112, 123, S8, 2, 97) | [i] | Depth Reduction | |
| 67 | No OOA(8112, 123, S8, 3, 97) | [i] | ||
| 68 | No (15, 112, 123)-net in base 8 | [i] | Extracting Embedded Orthogonal Array | |