Information on Result #598859
There is no digital (120, 240, 253)-net over F2, because extracting embedded orthogonal array would yield linear OA(2240, 253, F2, 120) (dual of [253, 13, 121]-code), but
- residual code [i] would yield OA(2120, 132, S2, 60), but
- the linear programming bound shows that M ≥ 16503 694795 665515 477973 668460 440758 255616 / 10323 > 2120 [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 (120, 241, 253)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (120, 242, 253)-net over F2 | [i] | ||
| 3 | No digital (120, 243, 253)-net over F2 | [i] | ||
| 4 | No digital (120, 244, 253)-net over F2 | [i] | ||
| 5 | No digital (120, 245, 253)-net over F2 | [i] | ||
| 6 | No digital (120, 246, 253)-net over F2 | [i] | ||
| 7 | No digital (120, 247, 253)-net over F2 | [i] | ||
| 8 | No digital (120, 248, 253)-net over F2 | [i] | ||
| 9 | No digital (120, 249, 253)-net over F2 | [i] | ||
| 10 | No digital (120, 250, 253)-net over F2 | [i] | ||
| 11 | No digital (120, 251, 253)-net over F2 | [i] | ||
| 12 | No digital (120, 252, 253)-net over F2 | [i] | ||
| 13 | No digital (120, 253, 253)-net over F2 | [i] | ||
| 14 | No digital (120, 254, 253)-net over F2 | [i] | ||
| 15 | No digital (120, 255, 253)-net over F2 | [i] | ||
| 16 | No digital (120, 256, 253)-net over F2 | [i] | ||
| 17 | No digital (120, 257, 253)-net over F2 | [i] | ||
| 18 | No digital (120, 258, 253)-net over F2 | [i] | ||
| 19 | No digital (120, 259, 253)-net over F2 | [i] | ||
| 20 | No digital (120, 260, 253)-net over F2 | [i] | ||