Information on Result #599669
There is no digital (69, 249, 376)-net over F4, because extracting embedded orthogonal array would yield linear OA(4249, 376, F4, 180) (dual of [376, 127, 181]-code), but
- residual code [i] would yield OA(469, 195, S4, 45), but
- the linear programming bound shows that M ≥ 82 828010 425088 398135 365726 677314 464149 340113 774380 345347 664035 522400 039552 947596 743692 557981 180235 874304 000000 / 227 578582 237535 291818 752893 814619 068871 044126 923591 235904 712727 792773 > 469 [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 (69, 250, 376)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (69, 251, 376)-net over F4 | [i] | ||
| 3 | No digital (69, 252, 376)-net over F4 | [i] | ||