Information on Result #3149425
There is no digital (56, 213, 277)-net over F4, because 1 times m-reduction would yield digital (56, 212, 277)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4212, 277, F4, 156) (dual of [277, 65, 157]-code), but
- residual code [i] would yield OA(456, 120, S4, 39), but
- the linear programming bound shows that M ≥ 2066 155678 537090 628147 364565 548181 197682 373267 641122 153961 419152 719537 042174 685359 211352 448103 820851 916170 263907 734704 851244 776014 479360 / 396774 979458 174160 104037 110420 139875 589775 407816 452196 802439 392517 223023 686990 593671 943757 732492 839361 > 456 [i]
- residual code [i] would yield OA(456, 120, 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.