Information on Result #546382
There is no linear OA(2182, 203, F2, 90) (dual of [203, 21, 91]-code), because residual code would yield OA(292, 112, S2, 45), but
- 1 times truncation [i] would yield OA(291, 111, S2, 44), but
- the linear programming bound shows that M ≥ 4098 314390 537865 655038 841462 980608 / 1 584999 > 291 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(2183, 204, F2, 91) (dual of [204, 21, 92]-code) | [i] | Truncation | |
| 2 | No linear OOA(2182, 203, F2, 2, 90) (dual of [(203, 2), 224, 91]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(2182, 203, F2, 3, 90) (dual of [(203, 3), 427, 91]-NRT-code) | [i] | ||
| 4 | No linear OOA(2182, 203, F2, 4, 90) (dual of [(203, 4), 630, 91]-NRT-code) | [i] | ||
| 5 | No linear OOA(2182, 203, F2, 5, 90) (dual of [(203, 5), 833, 91]-NRT-code) | [i] | ||
| 6 | No linear OOA(2182, 203, F2, 6, 90) (dual of [(203, 6), 1036, 91]-NRT-code) | [i] | ||
| 7 | No linear OOA(2182, 203, F2, 7, 90) (dual of [(203, 7), 1239, 91]-NRT-code) | [i] | ||
| 8 | No linear OOA(2182, 203, F2, 8, 90) (dual of [(203, 8), 1442, 91]-NRT-code) | [i] | ||