Information on Result #599542
There is no digital (56, 204, 308)-net over F4, because extracting embedded orthogonal array would yield linear OA(4204, 308, F4, 148) (dual of [308, 104, 149]-code), but
- residual code [i] would yield OA(456, 159, S4, 37), but
- the linear programming bound shows that M ≥ 552280 967540 130556 225380 165062 844509 113927 435157 299702 522905 668351 970980 659200 000000 / 99 260712 948022 423958 535222 844990 439800 493623 078423 > 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, 205, 308)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (56, 206, 308)-net over F4 | [i] | ||
| 3 | No digital (56, 207, 308)-net over F4 | [i] | ||