Information on Result #3149349
There is no digital (55, 192, 348)-net over F4, because 1 times m-reduction would yield digital (55, 191, 348)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4191, 348, F4, 136) (dual of [348, 157, 137]-code), but
- residual code [i] would yield OA(455, 211, S4, 34), but
- the linear programming bound shows that M ≥ 10743 840493 216536 083692 298711 093271 763797 668298 834882 461033 299968 000000 / 7 972480 994288 747790 242491 803609 004511 > 455 [i]
- residual code [i] would yield OA(455, 211, S4, 34), 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.