Information on Result #598818
There is no digital (98, 188, 233)-net over F2, because extracting embedded orthogonal array would yield linear OA(2188, 233, F2, 90) (dual of [233, 45, 91]-code), but
- residual code [i] would yield OA(298, 142, S2, 45), but
- 1 times truncation [i] would yield OA(297, 141, S2, 44), but
- the linear programming bound shows that M ≥ 33406 063517 297373 977917 219831 876457 216369 229824 / 189199 322419 332537 > 297 [i]
- 1 times truncation [i] would yield OA(297, 141, S2, 44), 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 (98, 189, 233)-net over F2 | [i] | m-Reduction | |