Information on Result #3149754
There is no digital (63, 221, 390)-net over F4, because 2 times m-reduction would yield digital (63, 219, 390)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4219, 390, F4, 156) (dual of [390, 171, 157]-code), but
- residual code [i] would yield OA(463, 233, S4, 39), but
- the linear programming bound shows that M ≥ 2 394144 335707 471520 884224 011051 775831 492539 148504 246999 784192 681791 545828 966400 000000 / 26753 789254 137656 696530 296222 884590 520869 895903 > 463 [i]
- residual code [i] would yield OA(463, 233, 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.