Information on Result #5258
There is no OA(4256, 260, S4, 195), because the (dual) Plotkin bound shows that M ≥ 858099 707516 326214 372737 599885 174152 158679 412517 913176 174307 932398 192897 924707 006515 319955 082681 819372 162038 923935 107254 640248 499964 580476 571753 536389 382144 / 49 > 4256
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(4257, 261, S4, 196) | [i] | Truncation | |
| 2 | No OA(4258, 262, S4, 197) | [i] | ||
| 3 | No OA(4259, 263, S4, 198) | [i] | ||
| 4 | No OA(4260, 264, S4, 199) | [i] | ||
| 5 | No OOA(4257, 260, S4, 2, 196) | [i] | m-Reduction for OOAs | |
| 6 | No OOA(4258, 260, S4, 2, 197) | [i] | ||
| 7 | No OOA(4259, 260, S4, 2, 198) | [i] | ||
| 8 | No OOA(4260, 260, S4, 2, 199) | [i] | ||
| 9 | No OOA(4256, 260, S4, 2, 195) | [i] | Depth Reduction | |
| 10 | No OOA(4256, 260, S4, 3, 195) | [i] | ||
| 11 | No (61, 256, 260)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |