Information on Result #599572
There is no digital (59, 219, 305)-net over F4, because extracting embedded orthogonal array would yield linear OA(4219, 305, F4, 160) (dual of [305, 86, 161]-code), but
- residual code [i] would yield OA(459, 144, S4, 40), but
- the linear programming bound shows that M ≥ 267 525938 139566 369814 585811 354664 265574 017946 230036 512794 828836 515572 789957 038790 441318 522730 123561 422710 374400 / 777 477803 949531 233536 373576 188373 355366 920576 587906 617821 062112 199463 182107 > 459 [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 (59, 220, 305)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (59, 221, 305)-net over F4 | [i] | ||
| 3 | No digital (59, 222, 305)-net over F4 | [i] | ||