Information on Result #2026593
There is no OA(2252, 258, S2, 130), because adding a parity check bit would yield OA(2253, 259, S2, 131), but
- the (dual) Plotkin bound shows that M ≥ 578960 446186 580977 117854 925043 439539 266349 923328 202820 197287 920039 565648 199680 / 33 > 2253 [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(2254, 260, S2, 132) | [i] | Truncation | |
| 2 | No OA(2255, 261, S2, 133) | [i] | ||
| 3 | No OOA(2253, 258, S2, 2, 131) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(2254, 258, S2, 2, 132) | [i] | ||
| 5 | No OOA(2255, 258, S2, 2, 133) | [i] | ||
| 6 | No OOA(2256, 258, S2, 2, 134) | [i] | ||
| 7 | No OOA(2257, 258, S2, 2, 135) | [i] | ||
| 8 | No OOA(2258, 258, S2, 2, 136) | [i] | ||
| 9 | No OOA(2259, 258, S2, 2, 137) | [i] | ||
| 10 | No OOA(2260, 258, S2, 2, 138) | [i] | ||
| 11 | No OOA(2252, 258, S2, 2, 130) | [i] | Depth Reduction | |
| 12 | No OOA(2252, 258, S2, 3, 130) | [i] | ||
| 13 | No OOA(2252, 258, S2, 4, 130) | [i] | ||
| 14 | No OOA(2252, 258, S2, 5, 130) | [i] | ||
| 15 | No OOA(2252, 258, S2, 6, 130) | [i] | ||
| 16 | No OOA(2252, 258, S2, 7, 130) | [i] | ||
| 17 | No OOA(2252, 258, S2, 8, 130) | [i] | ||
| 18 | No (122, 252, 258)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |