Information on Result #546506
There is no linear OA(2241, 257, F2, 120) (dual of [257, 16, 121]-code), because residual code would yield OA(2121, 136, S2, 60), but
- the linear programming bound shows that M ≥ 579798 617937 414024 433657 409237 804061 294592 / 216783 > 2121 [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(2242, 258, F2, 121) (dual of [258, 16, 122]-code) | [i] | Truncation | |
| 2 | No linear OOA(2242, 257, F2, 2, 121) (dual of [(257, 2), 272, 122]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2241, 257, F2, 2, 120) (dual of [(257, 2), 273, 121]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2241, 257, F2, 3, 120) (dual of [(257, 3), 530, 121]-NRT-code) | [i] | ||
| 5 | No linear OOA(2241, 257, F2, 4, 120) (dual of [(257, 4), 787, 121]-NRT-code) | [i] | ||
| 6 | No linear OOA(2241, 257, F2, 5, 120) (dual of [(257, 5), 1044, 121]-NRT-code) | [i] | ||
| 7 | No linear OOA(2241, 257, F2, 6, 120) (dual of [(257, 6), 1301, 121]-NRT-code) | [i] | ||
| 8 | No linear OOA(2241, 257, F2, 7, 120) (dual of [(257, 7), 1558, 121]-NRT-code) | [i] | ||
| 9 | No linear OOA(2241, 257, F2, 8, 120) (dual of [(257, 8), 1815, 121]-NRT-code) | [i] | ||
| 10 | No digital (121, 241, 257)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |