Information on Result #547725
There is no linear OA(2250, 283, F2, 122) (dual of [283, 33, 123]-code), because construction Y1 would yield
- linear OA(2249, 273, F2, 122) (dual of [273, 24, 123]-code), but
- residual code [i] would yield OA(2127, 150, S2, 61), but
- 1 times truncation [i] would yield OA(2126, 149, S2, 60), but
- the linear programming bound shows that M ≥ 40 354766 457887 934259 048521 444548 255732 989952 / 438495 > 2126 [i]
- 1 times truncation [i] would yield OA(2126, 149, S2, 60), but
- residual code [i] would yield OA(2127, 150, S2, 61), but
- OA(233, 283, S2, 10), but
- discarding factors would yield OA(233, 254, S2, 10), but
- the Rao or (dual) Hamming bound shows that M ≥ 8640 218941 > 233 [i]
- discarding factors would yield OA(233, 254, S2, 10), but
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(2251, 284, F2, 123) (dual of [284, 33, 124]-code) | [i] | Truncation | |