Information on Result #546539
There is no linear OA(2251, 269, F2, 124) (dual of [269, 18, 125]-code), because residual code would yield OA(2127, 144, S2, 62), but
- the linear programming bound shows that M ≥ 1 097070 350953 105606 205919 734360 020713 734144 / 5719 > 2127 [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(2252, 270, F2, 125) (dual of [270, 18, 126]-code) | [i] | Truncation | |
| 2 | No linear OOA(2252, 269, F2, 2, 125) (dual of [(269, 2), 286, 126]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2253, 269, F2, 2, 126) (dual of [(269, 2), 285, 127]-NRT-code) | [i] | ||
| 4 | No linear OOA(2254, 269, F2, 2, 127) (dual of [(269, 2), 284, 128]-NRT-code) | [i] | ||
| 5 | No linear OOA(2251, 269, F2, 2, 124) (dual of [(269, 2), 287, 125]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(2251, 269, F2, 3, 124) (dual of [(269, 3), 556, 125]-NRT-code) | [i] | ||
| 7 | No linear OOA(2251, 269, F2, 4, 124) (dual of [(269, 4), 825, 125]-NRT-code) | [i] | ||
| 8 | No linear OOA(2251, 269, F2, 5, 124) (dual of [(269, 5), 1094, 125]-NRT-code) | [i] | ||
| 9 | No linear OOA(2251, 269, F2, 6, 124) (dual of [(269, 6), 1363, 125]-NRT-code) | [i] | ||
| 10 | No linear OOA(2251, 269, F2, 7, 124) (dual of [(269, 7), 1632, 125]-NRT-code) | [i] | ||
| 11 | No linear OOA(2251, 269, F2, 8, 124) (dual of [(269, 8), 1901, 125]-NRT-code) | [i] | ||
| 12 | No digital (127, 251, 269)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |