Information on Result #58481
There is no OA(2226, 251, S2, 108), because the linear programming bound shows that M ≥ 3 068587 541377 441989 862758 184092 770418 630025 105253 803106 088322 664550 769029 545984 / 21915 413575 > 2226
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(2227, 252, S2, 109) | [i] | Truncation | |
| 2 | No OA(2228, 253, S2, 110) | [i] | ||
| 3 | No OA(2229, 254, S2, 111) | [i] | ||
| 4 | No OA(2230, 255, S2, 112) | [i] | ||
| 5 | No OA(2231, 256, S2, 113) | [i] | ||
| 6 | No OA(2232, 257, S2, 114) | [i] | ||
| 7 | No OA(2233, 258, S2, 115) | [i] | ||
| 8 | No OA(2234, 259, S2, 116) | [i] | ||
| 9 | No OA(2235, 260, S2, 117) | [i] | ||
| 10 | No OA(2236, 261, S2, 118) | [i] | ||
| 11 | No OA(2237, 262, S2, 119) | [i] | ||
| 12 | No OA(2238, 263, S2, 120) | [i] | ||
| 13 | No OA(2239, 264, S2, 121) | [i] | ||
| 14 | No OA(2240, 265, S2, 122) | [i] | ||
| 15 | No OA(2241, 266, S2, 123) | [i] | ||
| 16 | No OOA(2227, 251, S2, 2, 109) | [i] | m-Reduction for OOAs | |
| 17 | No OOA(2228, 251, S2, 2, 110) | [i] | ||
| 18 | No OOA(2229, 251, S2, 2, 111) | [i] | ||
| 19 | No OOA(2230, 251, S2, 2, 112) | [i] | ||
| 20 | No OOA(2231, 251, S2, 2, 113) | [i] | ||
| 21 | No OOA(2232, 251, S2, 2, 114) | [i] | ||
| 22 | No OOA(2233, 251, S2, 2, 115) | [i] | ||
| 23 | No OOA(2234, 251, S2, 2, 116) | [i] | ||
| 24 | No OOA(2235, 251, S2, 2, 117) | [i] | ||
| 25 | No OOA(2236, 251, S2, 2, 118) | [i] | ||
| 26 | No OOA(2237, 251, S2, 2, 119) | [i] | ||
| 27 | No OOA(2238, 251, S2, 2, 120) | [i] | ||
| 28 | No OOA(2239, 251, S2, 2, 121) | [i] | ||
| 29 | No OOA(2240, 251, S2, 2, 122) | [i] | ||
| 30 | No OOA(2241, 251, S2, 2, 123) | [i] | ||
| 31 | No OOA(2226, 251, S2, 2, 108) | [i] | Depth Reduction | |
| 32 | No OOA(2226, 251, S2, 3, 108) | [i] | ||
| 33 | No OOA(2226, 251, S2, 4, 108) | [i] | ||
| 34 | No OOA(2226, 251, S2, 5, 108) | [i] | ||
| 35 | No OOA(2226, 251, S2, 6, 108) | [i] | ||
| 36 | No OOA(2226, 251, S2, 7, 108) | [i] | ||
| 37 | No OOA(2226, 251, S2, 8, 108) | [i] | ||
| 38 | No (118, 226, 251)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |