Information on Result #555043
There is no linear OOA(2254, 269, F2, 2, 127) (dual of [(269, 2), 284, 128]-NRT-code), because 3 step m-reduction would yield linear OA(2251, 269, F2, 124) (dual of [269, 18, 125]-code), but
- residual code [i] 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 OOA(2254, 269, F2, 3, 127) (dual of [(269, 3), 553, 128]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2254, 269, F2, 4, 127) (dual of [(269, 4), 822, 128]-NRT-code) | [i] | ||
| 3 | No linear OOA(2254, 269, F2, 5, 127) (dual of [(269, 5), 1091, 128]-NRT-code) | [i] | ||
| 4 | No linear OOA(2254, 269, F2, 6, 127) (dual of [(269, 6), 1360, 128]-NRT-code) | [i] | ||
| 5 | No linear OOA(2254, 269, F2, 7, 127) (dual of [(269, 7), 1629, 128]-NRT-code) | [i] | ||
| 6 | No linear OOA(2254, 269, F2, 8, 127) (dual of [(269, 8), 1898, 128]-NRT-code) | [i] | ||