Information on Result #2174844
There is no linear OA(3158, 162, F3, 108) (dual of [162, 4, 109]-code), because 1 times code embedding in larger space would yield linear OA(3159, 163, F3, 108) (dual of [163, 4, 109]-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 OOA(3158, 162, F3, 2, 108) (dual of [(162, 2), 166, 109]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3158, 162, F3, 3, 108) (dual of [(162, 3), 328, 109]-NRT-code) | [i] | ||
| 3 | No linear OOA(3158, 162, F3, 4, 108) (dual of [(162, 4), 490, 109]-NRT-code) | [i] | ||
| 4 | No linear OOA(3158, 162, F3, 5, 108) (dual of [(162, 5), 652, 109]-NRT-code) | [i] | ||