Information on Result #3152062
There is no digital (24, 172, 299)-net over F8, because 4 times m-reduction would yield digital (24, 168, 299)-net over F8, but
- extracting embedded orthogonal array [i] would yield linear OA(8168, 299, F8, 144) (dual of [299, 131, 145]-code), but
- residual code [i] would yield OA(824, 154, S8, 18), but
- the linear programming bound shows that M ≥ 1463 606729 993253 457700 255083 689454 600192 / 305843 519426 437217 > 824 [i]
- residual code [i] would yield OA(824, 154, S8, 18), 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.