Information on Result #3149970
There is no digital (72, 254, 431)-net over F4, because 2 times m-reduction would yield digital (72, 252, 431)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4252, 431, F4, 180) (dual of [431, 179, 181]-code), but
- residual code [i] would yield OA(472, 250, S4, 45), but
- the linear programming bound shows that M ≥ 844 253129 128337 968002 738138 104958 795392 851484 110411 486022 086287 533951 460726 969110 480212 292670 586880 / 36 177347 187970 342236 372937 633185 534214 836452 245739 305493 > 472 [i]
- residual code [i] would yield OA(472, 250, S4, 45), 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.