Information on Result #3149481
There is no digital (57, 214, 291)-net over F4, because 1 times m-reduction would yield digital (57, 213, 291)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4213, 291, F4, 156) (dual of [291, 78, 157]-code), but
- residual code [i] would yield OA(457, 134, S4, 39), but
- the linear programming bound shows that M ≥ 2118 872152 947773 735205 614860 840104 993723 173522 547123 836257 668222 520389 144284 698869 497944 229365 678080 000000 / 96823 132929 101376 060431 157559 643789 049324 330608 249156 649224 680559 609039 > 457 [i]
- residual code [i] would yield OA(457, 134, S4, 39), 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.