Information on Result #3148780
There is no digital (47, 172, 267)-net over F4, because 1 times m-reduction would yield digital (47, 171, 267)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4171, 267, F4, 124) (dual of [267, 96, 125]-code), but
- residual code [i] would yield OA(447, 142, S4, 31), but
- the linear programming bound shows that M ≥ 1 426879 798802 733246 761115 948298 486619 667897 205821 276160 000000 / 71 943480 328984 731362 301117 226363 > 447 [i]
- residual code [i] would yield OA(447, 142, S4, 31), 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.