Information on Result #599687
There is no digital (73, 249, 466)-net over F4, because extracting embedded orthogonal array would yield linear OA(4249, 466, F4, 176) (dual of [466, 217, 177]-code), but
- residual code [i] would yield OA(473, 289, S4, 44), but
- the linear programming bound shows that M ≥ 6795 366876 081531 133774 121792 921977 453856 545502 548417 574102 431690 872138 283810 785820 606988 288000 / 74 611970 849216 063476 829413 418651 211240 390198 261413 > 473 [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 (73, 250, 466)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (73, 251, 466)-net over F4 | [i] | ||
| 3 | No digital (73, 252, 466)-net over F4 | [i] | ||