Information on Result #548633
There is no linear OA(5150, 160, F5, 120) (dual of [160, 10, 121]-code), because construction Y1 would yield
- linear OA(5149, 154, F5, 120) (dual of [154, 5, 121]-code), but
- residual code [i] would yield linear OA(529, 33, F5, 24) (dual of [33, 4, 25]-code), but
- OA(510, 160, S5, 6), but
- discarding factors would yield OA(510, 98, S5, 6), but
- the Rao or (dual) Hamming bound shows that M ≥ 9 810585 > 510 [i]
- discarding factors would yield OA(510, 98, S5, 6), 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(5150, 160, F5, 2, 120) (dual of [(160, 2), 170, 121]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(5150, 160, F5, 3, 120) (dual of [(160, 3), 330, 121]-NRT-code) | [i] | ||
| 3 | No digital (30, 150, 160)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |