Information on Result #2026597
There is no OA(2256, 262, S2, 132), because adding a parity check bit would yield OA(2257, 263, S2, 133), but
- the (dual) Plotkin bound shows that M ≥ 18 526734 277970 591267 771357 601390 065256 523197 546502 490246 313213 441266 100742 389760 / 67 > 2257 [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(2258, 264, S2, 134) | [i] | Truncation | |
| 2 | No OA(2259, 265, S2, 135) | [i] | ||
| 3 | No OOA(2257, 262, S2, 2, 133) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(2258, 262, S2, 2, 134) | [i] | ||
| 5 | No OOA(2259, 262, S2, 2, 135) | [i] | ||
| 6 | No OOA(2260, 262, S2, 2, 136) | [i] | ||
| 7 | No OOA(2256, 262, S2, 2, 132) | [i] | Depth Reduction | |
| 8 | No OOA(2256, 262, S2, 3, 132) | [i] | ||
| 9 | No OOA(2256, 262, S2, 4, 132) | [i] | ||
| 10 | No OOA(2256, 262, S2, 5, 132) | [i] | ||
| 11 | No OOA(2256, 262, S2, 6, 132) | [i] | ||
| 12 | No OOA(2256, 262, S2, 7, 132) | [i] | ||
| 13 | No OOA(2256, 262, S2, 8, 132) | [i] | ||
| 14 | No (124, 256, 262)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |