Information on Result #599405
There is no digital (37, 129, 251)-net over F4, because extracting embedded orthogonal array would yield linear OA(4129, 251, F4, 92) (dual of [251, 122, 93]-code), but
- residual code [i] would yield OA(437, 158, S4, 23), but
- 1 times truncation [i] would yield OA(436, 157, S4, 22), but
- the linear programming bound shows that M ≥ 1 085711 389750 577086 675646 991691 769970 688000 / 226 068152 003046 919267 > 436 [i]
- 1 times truncation [i] would yield OA(436, 157, S4, 22), 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.