Information on Result #547984
There is no linear OA(830, 35, F8, 27) (dual of [35, 5, 28]-code), because construction Y1 would yield
- OA(829, 31, S8, 27), but
- 3 times truncation [i] would yield OA(826, 28, S8, 24), but
- the (dual) Plotkin bound shows that M ≥ 9 671406 556917 033397 649408 / 25 > 826 [i]
- 3 times truncation [i] would yield OA(826, 28, S8, 24), but
- OA(85, 35, S8, 4), but
- the linear programming bound shows that M ≥ 1 306624 / 39 > 85 [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(830, 35, F8, 2, 27) (dual of [(35, 2), 40, 28]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OA(831, 66, F8, 27) (dual of [66, 35, 28]-code) | [i] | Construction Y1 (Bound) | |
| 3 | No linear OA(831, 65, F8, 27) (dual of [65, 34, 28]-code) | [i] | ||
| 4 | No linear OA(831, 63, F8, 27) (dual of [63, 32, 28]-code) | [i] | ||