Information on Result #598869
There is no digital (123, 247, 259)-net over F2, because extracting embedded orthogonal array would yield linear OA(2247, 259, F2, 124) (dual of [259, 12, 125]-code), but
- residual code [i] would yield OA(2123, 134, S2, 62), but
- the linear programming bound shows that M ≥ 2988 104534 524490 882287 758271 510214 606848 / 247 > 2123 [i]
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 (123, 248, 259)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (123, 249, 259)-net over F2 | [i] | ||
| 3 | No digital (123, 250, 259)-net over F2 | [i] | ||