Information on Result #554973
There is no linear OOA(2252, 264, F2, 2, 127) (dual of [(264, 2), 276, 128]-NRT-code), because 1 step m-reduction would yield linear OA(2251, 264, F2, 126) (dual of [264, 13, 127]-code), but
- residual code [i] would yield OA(2125, 137, S2, 63), but
- 1 times truncation [i] would yield OA(2124, 136, S2, 62), but
- the linear programming bound shows that M ≥ 17949 894855 079503 947693 010542 025773 154304 / 703 > 2124 [i]
- 1 times truncation [i] would yield OA(2124, 136, S2, 62), but
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(2252, 264, F2, 3, 127) (dual of [(264, 3), 540, 128]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2252, 264, F2, 4, 127) (dual of [(264, 4), 804, 128]-NRT-code) | [i] | ||
| 3 | No linear OOA(2252, 264, F2, 5, 127) (dual of [(264, 5), 1068, 128]-NRT-code) | [i] | ||
| 4 | No linear OOA(2252, 264, F2, 6, 127) (dual of [(264, 6), 1332, 128]-NRT-code) | [i] | ||
| 5 | No linear OOA(2252, 264, F2, 7, 127) (dual of [(264, 7), 1596, 128]-NRT-code) | [i] | ||
| 6 | No linear OOA(2252, 264, F2, 8, 127) (dual of [(264, 8), 1860, 128]-NRT-code) | [i] | ||