Information on Result #548642
There is no linear OA(810, 55, F8, 8) (dual of [55, 45, 9]-code), because construction Y1 would yield
- linear OA(89, 15, F8, 8) (dual of [15, 6, 9]-code), but
- “MPa†bound on codes from Brouwer’s database [i]
- OA(845, 55, S8, 40), but
- discarding factors would yield OA(845, 52, S8, 40), but
- the linear programming bound shows that M ≥ 17082 370822 074457 326416 360196 848644 913580 998656 / 353625 > 845 [i]
- discarding factors would yield OA(845, 52, S8, 40), 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.
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 OA(811, 56, F8, 9) (dual of [56, 45, 10]-code) | [i] | Truncation | |
| 2 | No linear OOA(811, 55, F8, 2, 9) (dual of [(55, 2), 99, 10]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(810, 55, F8, 2, 8) (dual of [(55, 2), 100, 9]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(810, 55, F8, 3, 8) (dual of [(55, 3), 155, 9]-NRT-code) | [i] | ||
| 5 | No digital (2, 10, 55)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |