Information on Result #3149884
There is no digital (67, 244, 362)-net over F4, because 1 times m-reduction would yield digital (67, 243, 362)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4243, 362, F4, 176) (dual of [362, 119, 177]-code), but
- residual code [i] would yield OA(467, 185, S4, 44), but
- the linear programming bound shows that M ≥ 27 922736 614479 963563 498030 039555 280180 497392 114764 937434 686895 163379 799248 329552 391127 539087 989670 936576 / 1212 198916 755108 948361 633672 026124 789528 916769 954260 490443 945723 > 467 [i]
- residual code [i] would yield OA(467, 185, S4, 44), 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.