Information on Result #599531
There is no digital (55, 195, 327)-net over F4, because extracting embedded orthogonal array would yield linear OA(4195, 327, F4, 140) (dual of [327, 132, 141]-code), but
- residual code [i] would yield OA(455, 186, S4, 35), but
- the linear programming bound shows that M ≥ 2227 845699 810146 058122 102603 602007 534656 013828 852609 458125 647380 480000 / 1 700436 329479 757404 993871 394563 863537 > 455 [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 (55, 196, 327)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (55, 197, 327)-net over F4 | [i] | ||
| 3 | No digital (55, 198, 327)-net over F4 | [i] | ||