Information on Result #599546
There is no digital (56, 220, 242)-net over F4, because extracting embedded orthogonal array would yield linear OA(4220, 242, F4, 164) (dual of [242, 22, 165]-code), but
- residual code [i] would yield OA(456, 77, S4, 41), but
- the linear programming bound shows that M ≥ 2852 409624 643877 869804 773184 242737 249513 373696 / 530979 549763 > 456 [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 (56, 221, 242)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (56, 222, 242)-net over F4 | [i] | ||
| 3 | No digital (56, 223, 242)-net over F4 | [i] | ||