Information on Result #598854
There is no digital (117, 235, 248)-net over F2, because extracting embedded orthogonal array would yield linear OA(2235, 248, F2, 118) (dual of [248, 13, 119]-code), but
- residual code [i] would yield OA(2117, 129, S2, 59), but
- 1 times truncation [i] would yield OA(2116, 128, S2, 58), but
- the linear programming bound shows that M ≥ 156 848903 502620 073002 649233 113080 659968 / 1575 > 2116 [i]
- 1 times truncation [i] would yield OA(2116, 128, S2, 58), 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 (117, 236, 248)-net over F2 | [i] | m-Reduction | |