Information on Result #598676
There is no digital (72, 138, 185)-net over F2, because extracting embedded orthogonal array 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
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (72, 139, 185)-net over F2 | [i] | m-Reduction | |