Information on Result #558806
There is no linear OOA(3244, 227, F3, 2, 172) (dual of [(227, 2), 210, 173]-NRT-code), because 25 step m-reduction would yield linear OA(3219, 227, F3, 147) (dual of [227, 8, 148]-code), but
- residual code [i] would yield linear OA(372, 79, F3, 49) (dual of [79, 7, 50]-code), but
- 1 times truncation [i] would yield linear OA(371, 78, F3, 48) (dual of [78, 7, 49]-code), but
- residual code [i] would yield linear OA(323, 29, F3, 16) (dual of [29, 6, 17]-code), but
- 1 times truncation [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]
- 1 times truncation [i] would yield linear OA(322, 28, F3, 15) (dual of [28, 6, 16]-code), but
- residual code [i] would yield linear OA(323, 29, F3, 16) (dual of [29, 6, 17]-code), but
- 1 times truncation [i] would yield linear OA(371, 78, F3, 48) (dual of [78, 7, 49]-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(3244, 227, F3, 3, 172) (dual of [(227, 3), 437, 173]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3244, 227, F3, 4, 172) (dual of [(227, 4), 664, 173]-NRT-code) | [i] | ||
| 3 | No linear OOA(3244, 227, F3, 5, 172) (dual of [(227, 5), 891, 173]-NRT-code) | [i] | ||