Information on Result #546547
There is no linear OA(2251, 264, F2, 126) (dual of [264, 13, 127]-code), because residual code 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]
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, 265, F2, 127) (dual of [265, 13, 128]-code) | [i] | Truncation | |
| 2 | No linear OOA(2252, 264, F2, 2, 127) (dual of [(264, 2), 276, 128]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2251, 264, F2, 2, 126) (dual of [(264, 2), 277, 127]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2251, 264, F2, 3, 126) (dual of [(264, 3), 541, 127]-NRT-code) | [i] | ||
| 5 | No linear OOA(2251, 264, F2, 4, 126) (dual of [(264, 4), 805, 127]-NRT-code) | [i] | ||
| 6 | No linear OOA(2251, 264, F2, 5, 126) (dual of [(264, 5), 1069, 127]-NRT-code) | [i] | ||
| 7 | No linear OOA(2251, 264, F2, 6, 126) (dual of [(264, 6), 1333, 127]-NRT-code) | [i] | ||
| 8 | No linear OOA(2251, 264, F2, 7, 126) (dual of [(264, 7), 1597, 127]-NRT-code) | [i] | ||
| 9 | No linear OOA(2251, 264, F2, 8, 126) (dual of [(264, 8), 1861, 127]-NRT-code) | [i] | ||
| 10 | No digital (125, 251, 264)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |