Information on Result #599603
There is no digital (62, 230, 319)-net over F4, because extracting embedded orthogonal array would yield linear OA(4230, 319, F4, 168) (dual of [319, 89, 169]-code), but
- residual code [i] would yield OA(462, 150, S4, 42), but
- the linear programming bound shows that M ≥ 1 659762 510567 225532 778073 956682 851160 927584 506340 544111 988906 878425 443399 317508 383360 785706 508045 270473 316579 147776 / 70196 277944 430470 237066 876146 512897 904291 630830 313677 137903 195390 483423 677609 > 462 [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 (62, 231, 319)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (62, 232, 319)-net over F4 | [i] | ||
| 3 | No digital (62, 233, 319)-net over F4 | [i] | ||