Information on Result #548479
There is no linear OA(3209, 215, F3, 141) (dual of [215, 6, 142]-code), because residual code would yield linear OA(368, 73, F3, 47) (dual of [73, 5, 48]-code), but
- 2 times truncation [i] would yield linear OA(366, 71, F3, 45) (dual of [71, 5, 46]-code), but
- “HW1†bound on codes from Brouwer’s database [i]
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(3210, 216, F3, 142) (dual of [216, 6, 143]-code) | [i] | Truncation | |
| 2 | No linear OA(3211, 217, F3, 143) (dual of [217, 6, 144]-code) | [i] | ||
| 3 | No linear OOA(3209, 215, F3, 2, 141) (dual of [(215, 2), 221, 142]-NRT-code) | [i] | Depth Reduction | |