Information on Result #547311
There is no linear OA(4206, 211, F4, 156) (dual of [211, 5, 157]-code), because residual code would yield linear OA(450, 54, F4, 39) (dual of [54, 4, 40]-code), but
- 3 times truncation [i] would yield linear OA(447, 51, F4, 36) (dual of [51, 4, 37]-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(4207, 212, F4, 157) (dual of [212, 5, 158]-code) | [i] | Truncation | |
| 2 | No linear OA(4208, 213, F4, 158) (dual of [213, 5, 159]-code) | [i] | ||
| 3 | No linear OA(4209, 214, F4, 159) (dual of [214, 5, 160]-code) | [i] | ||
| 4 | No linear OOA(4206, 211, F4, 2, 156) (dual of [(211, 2), 216, 157]-NRT-code) | [i] | Depth Reduction | |
| 5 | No linear OA(4207, 215, F4, 156) (dual of [215, 8, 157]-code) | [i] | Construction Y1 (Bound) | |