Information on Result #3152055
There is no digital (24, 164, 353)-net over F8, because 4 times m-reduction would yield digital (24, 160, 353)-net over F8, but
- extracting embedded orthogonal array [i] would yield linear OA(8160, 353, F8, 136) (dual of [353, 193, 137]-code), but
- residual code [i] would yield OA(824, 216, S8, 17), but
- 1 times truncation [i] would yield OA(823, 215, S8, 16), but
- the linear programming bound shows that M ≥ 9069 643604 547071 244335 560849 505648 640000 / 15 008917 595182 591313 > 823 [i]
- 1 times truncation [i] would yield OA(823, 215, S8, 16), but
- residual code [i] would yield OA(824, 216, S8, 17), 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.