Information on Result #555324
There is no linear OOA(337, 46, F3, 2, 25) (dual of [(46, 2), 55, 26]-NRT-code), because 1 step m-reduction would yield linear OA(336, 46, F3, 24) (dual of [46, 10, 25]-code), but
- construction Y1 [i] would yield
- linear OA(335, 40, F3, 24) (dual of [40, 5, 25]-code), but
- “vE1†bound on codes from Brouwer’s database [i]
- OA(310, 46, S3, 6), but
- discarding factors would yield OA(310, 36, S3, 6), but
- the Rao or (dual) Hamming bound shows that M ≥ 59713 > 310 [i]
- discarding factors would yield OA(310, 36, S3, 6), but
- linear OA(335, 40, F3, 24) (dual of [40, 5, 25]-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(337, 46, F3, 3, 25) (dual of [(46, 3), 101, 26]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(337, 46, F3, 4, 25) (dual of [(46, 4), 147, 26]-NRT-code) | [i] | ||
| 3 | No linear OOA(337, 46, F3, 5, 25) (dual of [(46, 5), 193, 26]-NRT-code) | [i] | ||