Information on Result #546524
There is no linear OA(2247, 269, F2, 122) (dual of [269, 22, 123]-code), because residual code would yield OA(2125, 146, S2, 61), but
- 1 times truncation [i] would yield OA(2124, 145, S2, 60), but
- the linear programming bound shows that M ≥ 5708 745767 519656 448539 450248 080629 672418 738176 / 226 811221 > 2124 [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(2248, 270, F2, 123) (dual of [270, 22, 124]-code) | [i] | Truncation | |