Information on Result #599230
There is no digital (76, 220, 252)-net over F3, because extracting embedded orthogonal array would yield linear OA(3220, 252, F3, 144) (dual of [252, 32, 145]-code), but
- residual code [i] would yield OA(376, 107, S3, 48), but
- the linear programming bound shows that M ≥ 27 003968 830416 865455 276739 924618 574996 266949 412970 132407 / 13 107822 838017 985847 > 376 [i]
Mode: Bound (linear).
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 digital (76, 221, 252)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (76, 222, 252)-net over F3 | [i] | ||