Information on Result #522366
There is no (61, 256, 260)-net in base 4, because extracting embedded orthogonal array would yield OA(4256, 260, S4, 195), but
- 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 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (61, 257, 260)-net in base 4 | [i] | m-Reduction | |
| 2 | No (61, 258, 260)-net in base 4 | [i] | ||
| 3 | No (61, 259, 260)-net in base 4 | [i] | ||
| 4 | No (61, 260, 260)-net in base 4 | [i] | ||