Information on Result #598878
There is no digital (125, 251, 264)-net over F2, because extracting embedded orthogonal array would yield linear OA(2251, 264, F2, 126) (dual of [264, 13, 127]-code), but
- residual code [i] would yield OA(2125, 137, S2, 63), but
- 1 times truncation [i] would yield OA(2124, 136, S2, 62), but
- the linear programming bound shows that M ≥ 17949 894855 079503 947693 010542 025773 154304 / 703 > 2124 [i]
- 1 times truncation [i] would yield OA(2124, 136, S2, 62), 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 (125, 252, 264)-net over F2 | [i] | m-Reduction | |