Information on Result #557727
There is no linear OOA(3212, 218, F3, 2, 143) (dual of [(218, 2), 224, 144]-NRT-code), because 2 step m-reduction would yield linear OA(3210, 218, F3, 141) (dual of [218, 8, 142]-code), but
- residual code [i] would yield linear OA(369, 76, F3, 47) (dual of [76, 7, 48]-code), but
- 2 times truncation [i] would yield linear OA(367, 74, F3, 45) (dual of [74, 7, 46]-code), but
- residual code [i] would yield linear OA(322, 28, F3, 15) (dual of [28, 6, 16]-code), but
- “HHM†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(322, 28, F3, 15) (dual of [28, 6, 16]-code), but
- 2 times truncation [i] would yield linear OA(367, 74, F3, 45) (dual of [74, 7, 46]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(3212, 218, F3, 3, 143) (dual of [(218, 3), 442, 144]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3212, 218, F3, 4, 143) (dual of [(218, 4), 660, 144]-NRT-code) | [i] | ||
| 3 | No linear OOA(3212, 218, F3, 5, 143) (dual of [(218, 5), 878, 144]-NRT-code) | [i] | ||