Information on Result #599641
There is no digital (66, 230, 404)-net over F4, because extracting embedded orthogonal array would yield linear OA(4230, 404, F4, 164) (dual of [404, 174, 165]-code), but
- residual code [i] would yield OA(466, 239, S4, 41), but
- the linear programming bound shows that M ≥ 222 701100 724979 298348 829615 805692 012896 998205 225198 824371 851659 244379 751219 018386 636800 / 38358 477730 413015 488846 745362 992009 108847 310917 > 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, 231, 404)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (66, 232, 404)-net over F4 | [i] | ||
| 3 | No digital (66, 233, 404)-net over F4 | [i] | ||