Information on Result #599643
There is no digital (66, 238, 364)-net over F4, because extracting embedded orthogonal array would yield linear OA(4238, 364, F4, 172) (dual of [364, 126, 173]-code), but
- residual code [i] would yield OA(466, 191, S4, 43), but
- the linear programming bound shows that M ≥ 28 766535 420054 304848 397361 421684 986456 320614 942528 963784 752261 977481 718335 232020 438414 046131 126272 000000 / 5209 403279 129645 739501 754543 221181 850628 166933 877437 442223 389477 > 466 [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 (66, 239, 364)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (66, 240, 364)-net over F4 | [i] | ||
| 3 | No digital (66, 241, 364)-net over F4 | [i] | ||