Information on Result #546511
There is no linear OA(2246, 270, F2, 120) (dual of [270, 24, 121]-code), because residual code would yield OA(2126, 149, S2, 60), but
- the linear programming bound shows that M ≥ 40 354766 457887 934259 048521 444548 255732 989952 / 438495 > 2126 [i]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(2247, 271, F2, 121) (dual of [271, 24, 122]-code) | [i] | Truncation | |
| 2 | No linear OOA(2247, 270, F2, 2, 121) (dual of [(270, 2), 293, 122]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2248, 270, F2, 2, 122) (dual of [(270, 2), 292, 123]-NRT-code) | [i] | ||
| 4 | No linear OOA(2249, 270, F2, 2, 123) (dual of [(270, 2), 291, 124]-NRT-code) | [i] | ||
| 5 | No linear OOA(2246, 270, F2, 2, 120) (dual of [(270, 2), 294, 121]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(2246, 270, F2, 3, 120) (dual of [(270, 3), 564, 121]-NRT-code) | [i] | ||
| 7 | No linear OOA(2246, 270, F2, 4, 120) (dual of [(270, 4), 834, 121]-NRT-code) | [i] | ||
| 8 | No linear OOA(2246, 270, F2, 5, 120) (dual of [(270, 5), 1104, 121]-NRT-code) | [i] | ||
| 9 | No linear OOA(2246, 270, F2, 6, 120) (dual of [(270, 6), 1374, 121]-NRT-code) | [i] | ||
| 10 | No linear OOA(2246, 270, F2, 7, 120) (dual of [(270, 7), 1644, 121]-NRT-code) | [i] | ||
| 11 | No linear OOA(2246, 270, F2, 8, 120) (dual of [(270, 8), 1914, 121]-NRT-code) | [i] | ||
| 12 | No digital (126, 246, 270)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 13 | No linear OA(2247, 280, F2, 120) (dual of [280, 33, 121]-code) | [i] | Construction Y1 (Bound) | |