Information on Result #546540
There is no linear OA(2252, 271, F2, 124) (dual of [271, 19, 125]-code), because residual code would yield OA(2128, 146, S2, 62), but
- the linear programming bound shows that M ≥ 10 546031 115613 724859 656905 833525 360409 444352 / 30229 > 2128 [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(2253, 272, F2, 125) (dual of [272, 19, 126]-code) | [i] | Truncation | |
| 2 | No linear OOA(2253, 271, F2, 2, 125) (dual of [(271, 2), 289, 126]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2254, 271, F2, 2, 126) (dual of [(271, 2), 288, 127]-NRT-code) | [i] | ||
| 4 | No linear OOA(2255, 271, F2, 2, 127) (dual of [(271, 2), 287, 128]-NRT-code) | [i] | ||
| 5 | No linear OOA(2252, 271, F2, 2, 124) (dual of [(271, 2), 290, 125]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(2252, 271, F2, 3, 124) (dual of [(271, 3), 561, 125]-NRT-code) | [i] | ||
| 7 | No linear OOA(2252, 271, F2, 4, 124) (dual of [(271, 4), 832, 125]-NRT-code) | [i] | ||
| 8 | No linear OOA(2252, 271, F2, 5, 124) (dual of [(271, 5), 1103, 125]-NRT-code) | [i] | ||
| 9 | No linear OOA(2252, 271, F2, 6, 124) (dual of [(271, 6), 1374, 125]-NRT-code) | [i] | ||
| 10 | No linear OOA(2252, 271, F2, 7, 124) (dual of [(271, 7), 1645, 125]-NRT-code) | [i] | ||
| 11 | No linear OOA(2252, 271, F2, 8, 124) (dual of [(271, 8), 1916, 125]-NRT-code) | [i] | ||
| 12 | No digital (128, 252, 271)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 13 | No linear OA(2253, 279, F2, 124) (dual of [279, 26, 125]-code) | [i] | Construction Y1 (Bound) | |