Information on Result #3149808
There is no digital (64, 251, 282)-net over F4, because 3 times m-reduction would yield digital (64, 248, 282)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4248, 282, F4, 184) (dual of [282, 34, 185]-code), but
- residual code [i] would yield OA(464, 97, S4, 46), but
- the linear programming bound shows that M ≥ 17 551672 443269 830978 915105 133499 110631 230918 120257 846151 906745 909248 / 44694 499640 915429 319268 220967 > 464 [i]
- residual code [i] would yield OA(464, 97, S4, 46), 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.