Information on Result #2026389
There is no OA(247, 51, S2, 26), because adding a parity check bit would yield OA(248, 52, S2, 27), but
- the (dual) Plotkin bound shows that M ≥ 2251 799813 685248 / 7 > 248 [i]
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(249, 53, S2, 28) | [i] | Truncation | |
| 2 | No OA(250, 54, S2, 29) | [i] | ||
| 3 | No OOA(248, 51, S2, 2, 27) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(249, 51, S2, 2, 28) | [i] | ||
| 5 | No OOA(250, 51, S2, 2, 29) | [i] | ||
| 6 | No OOA(251, 51, S2, 2, 30) | [i] | ||
| 7 | No OOA(252, 51, S2, 2, 31) | [i] | ||
| 8 | No OOA(253, 51, S2, 2, 32) | [i] | ||
| 9 | No OOA(254, 51, S2, 2, 33) | [i] | ||
| 10 | No OOA(255, 51, S2, 2, 34) | [i] | ||
| 11 | No OOA(256, 51, S2, 2, 35) | [i] | ||
| 12 | No OOA(257, 51, S2, 2, 36) | [i] | ||
| 13 | No OOA(258, 51, S2, 2, 37) | [i] | ||
| 14 | No OOA(259, 51, S2, 2, 38) | [i] | ||
| 15 | No OOA(260, 51, S2, 2, 39) | [i] | ||
| 16 | No OOA(261, 51, S2, 2, 40) | [i] | ||
| 17 | No OOA(262, 51, S2, 2, 41) | [i] | ||
| 18 | No OOA(263, 51, S2, 2, 42) | [i] | ||
| 19 | No OOA(264, 51, S2, 2, 43) | [i] | ||
| 20 | No OOA(265, 51, S2, 2, 44) | [i] | ||
| 21 | No OOA(247, 51, S2, 2, 26) | [i] | Depth Reduction | |
| 22 | No OOA(247, 51, S2, 3, 26) | [i] | ||
| 23 | No OOA(247, 51, S2, 4, 26) | [i] | ||
| 24 | No OOA(247, 51, S2, 5, 26) | [i] | ||
| 25 | No OOA(247, 51, S2, 6, 26) | [i] | ||
| 26 | No OOA(247, 51, S2, 7, 26) | [i] | ||
| 27 | No OOA(247, 51, S2, 8, 26) | [i] | ||
| 28 | No (21, 47, 51)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |