Information on Result #522854
There is no (3, 31, 33)-net in base 7, because extracting embedded orthogonal array would yield OA(731, 33, S7, 28), but
- the (dual) Plotkin bound shows that M ≥ 5522 138371 219603 231526 496005 / 29 > 731 [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 (3, 32, 33)-net in base 7 | [i] | m-Reduction | |
| 2 | No (3, 33, 33)-net in base 7 | [i] | ||
| 3 | No (3, 34, 33)-net in base 7 | [i] | ||
| 4 | No (3, 35, 33)-net in base 7 | [i] | ||
| 5 | No (3, 36, 33)-net in base 7 | [i] | ||
| 6 | No (3, 37, 33)-net in base 7 | [i] | ||
| 7 | No (3, 38, 33)-net in base 7 | [i] | ||
| 8 | No (3, 39, 33)-net in base 7 | [i] | ||
| 9 | No (3, 40, 33)-net in base 7 | [i] | ||
| 10 | No (3, 41, 33)-net in base 7 | [i] | ||
| 11 | No (3, 42, 33)-net in base 7 | [i] | ||
| 12 | No (3, 43, 33)-net in base 7 | [i] | ||
| 13 | No (3, 44, 33)-net in base 7 | [i] | ||
| 14 | No (3, 45, 33)-net in base 7 | [i] | ||
| 15 | No (3, 46, 33)-net in base 7 | [i] | ||
| 16 | No (3, 47, 33)-net in base 7 | [i] | ||
| 17 | No (3, 48, 33)-net in base 7 | [i] | ||
| 18 | No (3, 49, 33)-net in base 7 | [i] | ||
| 19 | No (3, 50, 33)-net in base 7 | [i] | ||
| 20 | No (3, 51, 33)-net in base 7 | [i] | ||
| 21 | No (3, 52, 33)-net in base 7 | [i] | ||
| 22 | No (3, 53, 33)-net in base 7 | [i] | ||
| 23 | No (3, 54, 33)-net in base 7 | [i] | ||
| 24 | No (3, 55, 33)-net in base 7 | [i] | ||
| 25 | No (3, 56, 33)-net in base 7 | [i] | ||
| 26 | No (3, 57, 33)-net in base 7 | [i] | ||
| 27 | No (3, 58, 33)-net in base 7 | [i] | ||