Information on Result #563372
There is no linear OOA(8106, 58, F8, 2, 100) (dual of [(58, 2), 10, 101]-NRT-code), because 58 step m-reduction would yield linear OA(848, 58, F8, 42) (dual of [58, 10, 43]-code), but
- construction Y1 [i] would yield
- linear OA(847, 50, F8, 42) (dual of [50, 3, 43]-code), but
- “Hi4†bound on codes from Brouwer’s database [i]
- OA(810, 58, S8, 8), but
- discarding factors would yield OA(810, 57, S8, 8), but
- the linear programming bound shows that M ≥ 1426 626655 027200 / 1 315507 > 810 [i]
- discarding factors would yield OA(810, 57, S8, 8), but
- linear OA(847, 50, F8, 42) (dual of [50, 3, 43]-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(8107, 59, F8, 2, 101) (dual of [(59, 2), 11, 102]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | No linear OOA(8108, 59, F8, 2, 102) (dual of [(59, 2), 10, 103]-NRT-code) | [i] | ||
| 3 | No linear OOA(8106, 58, F8, 3, 100) (dual of [(58, 3), 68, 101]-NRT-code) | [i] | Depth Reduction | |