Information on Result #554940
There is no linear OOA(2251, 267, F2, 2, 125) (dual of [(267, 2), 283, 126]-NRT-code), because 1 step m-reduction would yield linear OA(2250, 267, F2, 124) (dual of [267, 17, 125]-code), but
- residual code [i] would yield OA(2126, 142, S2, 62), but
- the linear programming bound shows that M ≥ 944964 132939 446113 037791 284838 020323 213312 / 10545 > 2126 [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 OOA(2251, 267, F2, 3, 125) (dual of [(267, 3), 550, 126]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2251, 267, F2, 4, 125) (dual of [(267, 4), 817, 126]-NRT-code) | [i] | ||
| 3 | No linear OOA(2251, 267, F2, 5, 125) (dual of [(267, 5), 1084, 126]-NRT-code) | [i] | ||
| 4 | No linear OOA(2251, 267, F2, 6, 125) (dual of [(267, 6), 1351, 126]-NRT-code) | [i] | ||
| 5 | No linear OOA(2251, 267, F2, 7, 125) (dual of [(267, 7), 1618, 126]-NRT-code) | [i] | ||
| 6 | No linear OOA(2251, 267, F2, 8, 125) (dual of [(267, 8), 1885, 126]-NRT-code) | [i] | ||