Information on Result #547156
There is no linear OA(4153, 158, F4, 116) (dual of [158, 5, 117]-code), because residual code would yield linear OA(437, 41, F4, 29) (dual of [41, 4, 30]-code), but
- 1 times truncation [i] would yield linear OA(436, 40, F4, 28) (dual of [40, 4, 29]-code), but
- residual code [i] would yield linear OA(48, 11, F4, 7) (dual of [11, 3, 8]-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(4154, 159, F4, 117) (dual of [159, 5, 118]-code) | [i] | Truncation | |
| 2 | No linear OA(4155, 160, F4, 118) (dual of [160, 5, 119]-code) | [i] | ||
| 3 | No linear OA(4156, 161, F4, 119) (dual of [161, 5, 120]-code) | [i] | ||
| 4 | No linear OOA(4153, 158, F4, 2, 116) (dual of [(158, 2), 163, 117]-NRT-code) | [i] | Depth Reduction | |
| 5 | No linear OA(4154, 162, F4, 116) (dual of [162, 8, 117]-code) | [i] | Construction Y1 (Bound) | |