Information on Result #3149354
There is no digital (55, 198, 327)-net over F4, because 3 times m-reduction would yield digital (55, 195, 327)-net over F4, but
- extracting embedded orthogonal array [i] 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]
- residual code [i] would yield OA(455, 186, S4, 35), but
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
None.