Information on Result #548470
There is no linear OA(3191, 197, F3, 129) (dual of [197, 6, 130]-code), because residual code would yield linear OA(362, 67, F3, 43) (dual of [67, 5, 44]-code), but
- 1 times truncation [i] would yield linear OA(361, 66, F3, 42) (dual of [66, 5, 43]-code), but
- residual code [i] would yield linear OA(319, 23, F3, 14) (dual of [23, 4, 15]-code), but
- 2 times truncation [i] would yield linear OA(317, 21, F3, 12) (dual of [21, 4, 13]-code), but
- residual code [i] would yield linear OA(319, 23, F3, 14) (dual of [23, 4, 15]-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(3192, 198, F3, 130) (dual of [198, 6, 131]-code) | [i] | Truncation | |
| 2 | No linear OA(3193, 199, F3, 131) (dual of [199, 6, 132]-code) | [i] | ||
| 3 | No linear OOA(3191, 197, F3, 2, 129) (dual of [(197, 2), 203, 130]-NRT-code) | [i] | Depth Reduction | |