Information on Result #548012
There is no linear OA(8173, 179, F8, 152) (dual of [179, 6, 153]-code), because construction Y1 would yield
- linear OA(8172, 175, F8, 152) (dual of [175, 3, 153]-code), but
- OA(86, 179, S8, 4), but
- discarding factors would yield OA(86, 104, S8, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 263173 > 86 [i]
- discarding factors would yield OA(86, 104, S8, 4), 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(8173, 179, F8, 2, 152) (dual of [(179, 2), 185, 153]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(8173, 179, F8, 3, 152) (dual of [(179, 3), 364, 153]-NRT-code) | [i] | ||
| 3 | No digital (21, 173, 179)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |