Information on Result #548442
There is no linear OA(361, 66, F3, 42) (dual of [66, 5, 43]-code), because residual code 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
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(362, 67, F3, 43) (dual of [67, 5, 44]-code) | [i] | Truncation | |
| 2 | No linear OA(363, 68, F3, 44) (dual of [68, 5, 45]-code) | [i] | ||
| 3 | No linear OOA(361, 66, F3, 2, 42) (dual of [(66, 2), 71, 43]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(361, 66, F3, 3, 42) (dual of [(66, 3), 137, 43]-NRT-code) | [i] | ||
| 5 | No linear OOA(361, 66, F3, 4, 42) (dual of [(66, 4), 203, 43]-NRT-code) | [i] | ||
| 6 | No linear OOA(361, 66, F3, 5, 42) (dual of [(66, 5), 269, 43]-NRT-code) | [i] | ||
| 7 | No linear OA(3187, 193, F3, 126) (dual of [193, 6, 127]-code) | [i] | Residual Code | |