Information on Result #3149802
There is no digital (64, 243, 317)-net over F4, because 3 times m-reduction would yield digital (64, 240, 317)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4240, 317, F4, 176) (dual of [317, 77, 177]-code), but
- residual code [i] would yield OA(464, 140, S4, 44), but
- the linear programming bound shows that M ≥ 6 055971 130979 717035 237533 763765 896035 104411 078322 823391 498324 273826 156962 484218 588303 215205 346683 113225 234756 746893 442044 988412 906254 866058 803915 928912 265216 000000 / 17465 630993 245964 374557 288355 588936 264526 909741 890553 067641 295523 141418 950639 065672 191422 532782 852686 274622 640710 777054 531879 > 464 [i]
- residual code [i] would yield OA(464, 140, S4, 44), 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.