Information on Result #562784
There is no linear OOA(732, 29, F7, 2, 29) (dual of [(29, 2), 26, 30]-NRT-code), because 8 step m-reduction would yield linear OA(724, 29, F7, 21) (dual of [29, 5, 22]-code), but
- construction Y1 [i] would yield
- OA(723, 25, S7, 21), but
- the (dual) Plotkin bound shows that M ≥ 383 162462 761132 828802 / 11 > 723 [i]
- OA(75, 29, S7, 4), but
- the linear programming bound shows that M ≥ 3 384381 / 197 > 75 [i]
- OA(723, 25, S7, 21), 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(732, 29, F7, 3, 29) (dual of [(29, 3), 55, 30]-NRT-code) | [i] | Depth Reduction | |