Information on Result #599543
There is no digital (56, 208, 293)-net over F4, because extracting embedded orthogonal array would yield linear OA(4208, 293, F4, 152) (dual of [293, 85, 153]-code), but
- residual code [i] would yield OA(456, 140, S4, 38), but
- the linear programming bound shows that M ≥ 33224 510089 193434 121103 982150 072093 135568 373830 671910 070349 424562 458616 197168 496640 000000 / 5 929310 526700 508468 903034 465148 531898 302680 222550 630653 > 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, 209, 293)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (56, 210, 293)-net over F4 | [i] | ||
| 3 | No digital (56, 211, 293)-net over F4 | [i] | ||