Information on Result #547354
There is no linear OA(4217, 222, F4, 164) (dual of [222, 5, 165]-code), because residual code would yield linear OA(453, 57, F4, 41) (dual of [57, 4, 42]-code), but
- 1 times truncation [i] would yield linear OA(452, 56, F4, 40) (dual of [56, 4, 41]-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(4218, 223, F4, 165) (dual of [223, 5, 166]-code) | [i] | Truncation | |
| 2 | No linear OA(4219, 224, F4, 166) (dual of [224, 5, 167]-code) | [i] | ||
| 3 | No linear OA(4218, 226, F4, 164) (dual of [226, 8, 165]-code) | [i] | Construction Y1 (Bound) | |