Information on Result #546510
There is no linear OA(2245, 268, F2, 120) (dual of [268, 23, 121]-code), because residual code would yield OA(2125, 147, S2, 60), but
- the linear programming bound shows that M ≥ 4975 875550 493628 228516 818795 559541 294187 413504 / 103 046325 > 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(2246, 269, F2, 121) (dual of [269, 23, 122]-code) | [i] | Truncation | |
| 2 | No linear OOA(2246, 268, F2, 2, 121) (dual of [(268, 2), 290, 122]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2247, 268, F2, 2, 122) (dual of [(268, 2), 289, 123]-NRT-code) | [i] | ||
| 4 | No linear OOA(2248, 268, F2, 2, 123) (dual of [(268, 2), 288, 124]-NRT-code) | [i] | ||
| 5 | No linear OOA(2245, 268, F2, 2, 120) (dual of [(268, 2), 291, 121]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(2245, 268, F2, 3, 120) (dual of [(268, 3), 559, 121]-NRT-code) | [i] | ||
| 7 | No linear OOA(2245, 268, F2, 4, 120) (dual of [(268, 4), 827, 121]-NRT-code) | [i] | ||
| 8 | No linear OOA(2245, 268, F2, 5, 120) (dual of [(268, 5), 1095, 121]-NRT-code) | [i] | ||
| 9 | No linear OOA(2245, 268, F2, 6, 120) (dual of [(268, 6), 1363, 121]-NRT-code) | [i] | ||
| 10 | No linear OOA(2245, 268, F2, 7, 120) (dual of [(268, 7), 1631, 121]-NRT-code) | [i] | ||
| 11 | No linear OOA(2245, 268, F2, 8, 120) (dual of [(268, 8), 1899, 121]-NRT-code) | [i] | ||
| 12 | No digital (125, 245, 268)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |