Information on Result #562194
There is no linear OOA(520, 42, F5, 2, 16) (dual of [(42, 2), 64, 17]-NRT-code), because 1 step m-reduction would yield linear OA(519, 42, F5, 15) (dual of [42, 23, 16]-code), but
- construction Y1 [i] would yield
- linear OA(518, 23, F5, 15) (dual of [23, 5, 16]-code), but
- residual code [i] would yield OA(53, 7, S5, 3), but
- OA(523, 42, S5, 19), but
- discarding factors would yield OA(523, 41, S5, 19), but
- the linear programming bound shows that M ≥ 1431 381081 044673 919677 734375 / 117616 346784 > 523 [i]
- discarding factors would yield OA(523, 41, S5, 19), but
- linear OA(518, 23, F5, 15) (dual of [23, 5, 16]-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(520, 42, F5, 3, 16) (dual of [(42, 3), 106, 17]-NRT-code) | [i] | Depth Reduction | |