Information on Result #556458
There is no linear OOA(3142, 105, F3, 2, 110) (dual of [(105, 2), 68, 111]-NRT-code), because 44 step m-reduction would yield linear OA(398, 105, F3, 66) (dual of [105, 7, 67]-code), but
- residual code [i] would yield linear OA(332, 38, F3, 22) (dual of [38, 6, 23]-code), but
- 1 times truncation [i] would yield linear OA(331, 37, F3, 21) (dual of [37, 6, 22]-code), but
- “Bou†bound on codes from Brouwer’s database [i]
- 1 times truncation [i] would yield linear OA(331, 37, F3, 21) (dual of [37, 6, 22]-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(3142, 105, F3, 3, 110) (dual of [(105, 3), 173, 111]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3142, 105, F3, 4, 110) (dual of [(105, 4), 278, 111]-NRT-code) | [i] | ||
| 3 | No linear OOA(3142, 105, F3, 5, 110) (dual of [(105, 5), 383, 111]-NRT-code) | [i] | ||