Information on Result #3149765
There is no digital (63, 236, 318)-net over F4, because 1 times m-reduction would yield digital (63, 235, 318)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4235, 318, F4, 172) (dual of [318, 83, 173]-code), but
- residual code [i] would yield OA(463, 145, S4, 43), but
- the linear programming bound shows that M ≥ 410852 595144 601422 661736 194475 352548 234222 916103 520325 789662 026727 829058 017732 594422 665880 071589 138518 417655 328617 787562 131456 / 4712 214848 200787 196384 454868 078661 057064 361851 730871 257084 069591 637575 047639 691128 659913 > 463 [i]
- residual code [i] would yield OA(463, 145, S4, 43), 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.