Information on Result #546576
There is no linear OA(330, 35, F3, 21) (dual of [35, 5, 22]-code), because residual code would yield linear OA(39, 13, F3, 7) (dual of [13, 4, 8]-code), but
- 1 times truncation [i] would yield linear OA(38, 12, F3, 6) (dual of [12, 4, 7]-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(331, 36, F3, 22) (dual of [36, 5, 23]-code) | [i] | Truncation | |
| 2 | No linear OA(332, 37, F3, 23) (dual of [37, 5, 24]-code) | [i] | ||
| 3 | No linear OOA(330, 35, F3, 2, 21) (dual of [(35, 2), 40, 22]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(330, 35, F3, 3, 21) (dual of [(35, 3), 75, 22]-NRT-code) | [i] | ||
| 5 | No linear OOA(330, 35, F3, 4, 21) (dual of [(35, 4), 110, 22]-NRT-code) | [i] | ||
| 6 | No linear OOA(330, 35, F3, 5, 21) (dual of [(35, 5), 145, 22]-NRT-code) | [i] | ||
| 7 | No linear OA(393, 99, F3, 63) (dual of [99, 6, 64]-code) | [i] | Residual Code | |
| 8 | No linear OA(331, 41, F3, 21) (dual of [41, 10, 22]-code) | [i] | Construction Y1 (Bound) | |