Information on Result #546173
There is no linear OA(281, 89, F2, 42) (dual of [89, 8, 43]-code), because residual code would yield linear OA(239, 46, F2, 21) (dual of [46, 7, 22]-code), but
- 1 times truncation [i] would yield linear OA(238, 45, F2, 20) (dual of [45, 7, 21]-code), but
- residual code [i] would yield linear OA(218, 24, F2, 10) (dual of [24, 6, 11]-code), but
- residual code [i] would yield linear OA(28, 13, F2, 5) (dual of [13, 5, 6]-code), but
- 1 times truncation [i] would yield linear OA(27, 12, F2, 4) (dual of [12, 5, 5]-code), but
- residual code [i] would yield linear OA(28, 13, F2, 5) (dual of [13, 5, 6]-code), but
- residual code [i] would yield linear OA(218, 24, F2, 10) (dual of [24, 6, 11]-code), 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.
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(2165, 174, F2, 84) (dual of [174, 9, 85]-code) | [i] | Residual Code | |