Information on Result #522180
There is no (31, 109, 135)-net in base 4, because extracting embedded orthogonal array would yield OA(4109, 135, S4, 78), but
- the linear programming bound shows that M ≥ 1 381415 346084 105880 317215 393836 473441 211153 164709 215619 710745 577423 733411 192078 598144 / 3 210734 020015 964827 > 4109 [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 (31, 110, 135)-net in base 4 | [i] | m-Reduction | |