Information on Result #546157
There is no linear OA(218, 24, F2, 10) (dual of [24, 6, 11]-code), because residual code 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
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(219, 25, F2, 11) (dual of [25, 6, 12]-code) | [i] | Truncation | |
| 2 | No linear OA(238, 45, F2, 20) (dual of [45, 7, 21]-code) | [i] | Residual Code | |
| 3 | No linear OA(219, 28, F2, 10) (dual of [28, 9, 11]-code) | [i] | Construction Y1 (Bound) | |