Information on Result #3141988
There is no digital (72, 139, 185)-net over F2, because 1 times m-reduction would yield digital (72, 138, 185)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2138, 185, F2, 66) (dual of [185, 47, 67]-code), but
- residual code [i] would yield OA(272, 118, S2, 33), but
- 1 times truncation [i] would yield OA(271, 117, S2, 32), but
- the linear programming bound shows that M ≥ 436299 229870 540803 344540 378506 426337 722368 / 173 222223 038567 257555 > 271 [i]
- 1 times truncation [i] would yield OA(271, 117, S2, 32), but
- residual code [i] would yield OA(272, 118, S2, 33), 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.