Information on Result #599679
There is no digital (71, 247, 430)-net over F4, because extracting embedded orthogonal array would yield linear OA(4247, 430, F4, 176) (dual of [430, 183, 177]-code), but
- residual code [i] would yield OA(471, 253, S4, 44), but
- the linear programming bound shows that M ≥ 27385 603782 383297 661406 789870 071468 501212 578772 565955 567440 744927 980401 898659 225594 231422 713856 / 4741 255951 754751 821637 567787 914724 985401 817073 767747 > 471 [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 (71, 248, 430)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (71, 249, 430)-net over F4 | [i] | ||
| 3 | No digital (71, 250, 430)-net over F4 | [i] | ||