Information on Result #546558
There is no linear OA(2259, 277, F2, 128) (dual of [277, 18, 129]-code), because residual code would yield OA(2131, 148, S2, 64), but
- the linear programming bound shows that M ≥ 37846 106847 625102 676119 046386 674320 128891 420672 / 12 104235 > 2131 [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(2260, 278, F2, 129) (dual of [278, 18, 130]-code) | [i] | Truncation | |
| 2 | No linear OOA(2260, 277, F2, 2, 129) (dual of [(277, 2), 294, 130]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2259, 277, F2, 2, 128) (dual of [(277, 2), 295, 129]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2259, 277, F2, 3, 128) (dual of [(277, 3), 572, 129]-NRT-code) | [i] | ||
| 5 | No linear OOA(2259, 277, F2, 4, 128) (dual of [(277, 4), 849, 129]-NRT-code) | [i] | ||
| 6 | No linear OOA(2259, 277, F2, 5, 128) (dual of [(277, 5), 1126, 129]-NRT-code) | [i] | ||
| 7 | No linear OOA(2259, 277, F2, 6, 128) (dual of [(277, 6), 1403, 129]-NRT-code) | [i] | ||
| 8 | No linear OOA(2259, 277, F2, 7, 128) (dual of [(277, 7), 1680, 129]-NRT-code) | [i] | ||
| 9 | No linear OOA(2259, 277, F2, 8, 128) (dual of [(277, 8), 1957, 129]-NRT-code) | [i] | ||
| 10 | No digital (131, 259, 277)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |