Information on Result #563430
There is no linear OOA(8143, 225, F8, 2, 124) (dual of [(225, 2), 307, 125]-NRT-code), because 4 step m-reduction would yield linear OA(8139, 225, F8, 120) (dual of [225, 86, 121]-code), but
- residual code [i] would yield OA(819, 104, S8, 15), but
- 1 times truncation [i] would yield OA(818, 103, S8, 14), but
- the linear programming bound shows that M ≥ 2 959453 402132 306537 427763 200000 / 157 546655 556261 > 818 [i]
- 1 times truncation [i] would yield OA(818, 103, S8, 14), 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(8143, 225, F8, 3, 124) (dual of [(225, 3), 532, 125]-NRT-code) | [i] | Depth Reduction |