Information on Result #546536
There is no linear OA(2248, 261, F2, 124) (dual of [261, 13, 125]-code), because residual code 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(2249, 262, F2, 125) (dual of [262, 13, 126]-code) | [i] | Truncation | |
| 2 | No linear OOA(2249, 261, F2, 2, 125) (dual of [(261, 2), 273, 126]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2250, 261, F2, 2, 126) (dual of [(261, 2), 272, 127]-NRT-code) | [i] | ||
| 4 | No linear OOA(2251, 261, F2, 2, 127) (dual of [(261, 2), 271, 128]-NRT-code) | [i] | ||
| 5 | No linear OOA(2248, 261, F2, 2, 124) (dual of [(261, 2), 274, 125]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(2248, 261, F2, 3, 124) (dual of [(261, 3), 535, 125]-NRT-code) | [i] | ||
| 7 | No linear OOA(2248, 261, F2, 4, 124) (dual of [(261, 4), 796, 125]-NRT-code) | [i] | ||
| 8 | No linear OOA(2248, 261, F2, 5, 124) (dual of [(261, 5), 1057, 125]-NRT-code) | [i] | ||
| 9 | No linear OOA(2248, 261, F2, 6, 124) (dual of [(261, 6), 1318, 125]-NRT-code) | [i] | ||
| 10 | No linear OOA(2248, 261, F2, 7, 124) (dual of [(261, 7), 1579, 125]-NRT-code) | [i] | ||
| 11 | No linear OOA(2248, 261, F2, 8, 124) (dual of [(261, 8), 1840, 125]-NRT-code) | [i] | ||
| 12 | No digital (124, 248, 261)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |