Information on Result #2026583
There is no OA(2241, 247, S2, 124), because adding a parity check bit would yield OA(2242, 248, S2, 125), but
- the (dual) Plotkin bound shows that M ≥ 452 312848 583266 388373 324160 190187 140051 835877 600158 453279 131187 530910 662656 / 63 > 2242 [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(2243, 249, S2, 126) | [i] | Truncation | |
| 2 | No OA(2244, 250, S2, 127) | [i] | ||
| 3 | No OOA(2242, 247, S2, 2, 125) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(2243, 247, S2, 2, 126) | [i] | ||
| 5 | No OOA(2244, 247, S2, 2, 127) | [i] | ||
| 6 | No OOA(2245, 247, S2, 2, 128) | [i] | ||
| 7 | No OOA(2246, 247, S2, 2, 129) | [i] | ||
| 8 | No OOA(2247, 247, S2, 2, 130) | [i] | ||
| 9 | No OOA(2248, 247, S2, 2, 131) | [i] | ||
| 10 | No OOA(2249, 247, S2, 2, 132) | [i] | ||
| 11 | No OOA(2250, 247, S2, 2, 133) | [i] | ||
| 12 | No OOA(2251, 247, S2, 2, 134) | [i] | ||
| 13 | No OOA(2252, 247, S2, 2, 135) | [i] | ||
| 14 | No OOA(2253, 247, S2, 2, 136) | [i] | ||
| 15 | No OOA(2254, 247, S2, 2, 137) | [i] | ||
| 16 | No OOA(2255, 247, S2, 2, 138) | [i] | ||
| 17 | No OOA(2256, 247, S2, 2, 139) | [i] | ||
| 18 | No OOA(2257, 247, S2, 2, 140) | [i] | ||
| 19 | No OOA(2258, 247, S2, 2, 141) | [i] | ||
| 20 | No OOA(2259, 247, S2, 2, 142) | [i] | ||
| 21 | No OOA(2260, 247, S2, 2, 143) | [i] | ||
| 22 | No OOA(2241, 247, S2, 2, 124) | [i] | Depth Reduction | |
| 23 | No OOA(2241, 247, S2, 3, 124) | [i] | ||
| 24 | No OOA(2241, 247, S2, 4, 124) | [i] | ||
| 25 | No OOA(2241, 247, S2, 5, 124) | [i] | ||
| 26 | No OOA(2241, 247, S2, 6, 124) | [i] | ||
| 27 | No OOA(2241, 247, S2, 7, 124) | [i] | ||
| 28 | No OOA(2241, 247, S2, 8, 124) | [i] | ||
| 29 | No (117, 241, 247)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |