Information on Result #546537
There is no linear OA(2249, 265, F2, 124) (dual of [265, 16, 125]-code), because residual code would yield OA(2125, 140, S2, 62), but
- the linear programming bound shows that M ≥ 6 637930 666822 611724 087981 388997 431471 898624 / 155363 > 2125 [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(2250, 266, F2, 125) (dual of [266, 16, 126]-code) | [i] | Truncation | |
| 2 | No linear OOA(2250, 265, F2, 2, 125) (dual of [(265, 2), 280, 126]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2249, 265, F2, 2, 124) (dual of [(265, 2), 281, 125]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2249, 265, F2, 3, 124) (dual of [(265, 3), 546, 125]-NRT-code) | [i] | ||
| 5 | No linear OOA(2249, 265, F2, 4, 124) (dual of [(265, 4), 811, 125]-NRT-code) | [i] | ||
| 6 | No linear OOA(2249, 265, F2, 5, 124) (dual of [(265, 5), 1076, 125]-NRT-code) | [i] | ||
| 7 | No linear OOA(2249, 265, F2, 6, 124) (dual of [(265, 6), 1341, 125]-NRT-code) | [i] | ||
| 8 | No linear OOA(2249, 265, F2, 7, 124) (dual of [(265, 7), 1606, 125]-NRT-code) | [i] | ||
| 9 | No linear OOA(2249, 265, F2, 8, 124) (dual of [(265, 8), 1871, 125]-NRT-code) | [i] | ||
| 10 | No digital (125, 249, 265)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |