Information on Result #598672
There is no digital (71, 137, 176)-net over F2, because extracting embedded orthogonal array would yield linear OA(2137, 176, F2, 66) (dual of [176, 39, 67]-code), but
- residual code [i] would yield OA(271, 109, S2, 33), but
- 1 times truncation [i] would yield OA(270, 108, S2, 32), but
- the linear programming bound shows that M ≥ 4 297708 243581 570312 211812 843520 / 3462 071301 > 270 [i]
- 1 times truncation [i] would yield OA(270, 108, 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 (71, 138, 176)-net over F2 | [i] | m-Reduction | |