Information on Result #548476
There is no linear OA(3205, 211, F3, 138) (dual of [211, 6, 139]-code), because residual code would yield linear OA(367, 72, F3, 46) (dual of [72, 5, 47]-code), but
- 1 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(3206, 212, F3, 139) (dual of [212, 6, 140]-code) | [i] | Truncation | |
| 2 | No linear OA(3207, 213, F3, 140) (dual of [213, 6, 141]-code) | [i] | ||
| 3 | No linear OOA(3205, 211, F3, 2, 138) (dual of [(211, 2), 217, 139]-NRT-code) | [i] | Depth Reduction | |