Information on Result #563565
There is no linear OOA(8172, 453, F8, 2, 145) (dual of [(453, 2), 734, 146]-NRT-code), because 1 step m-reduction would yield linear OA(8171, 453, F8, 144) (dual of [453, 282, 145]-code), but
- residual code [i] would yield OA(827, 308, S8, 18), but
- the Rao or (dual) Hamming bound shows that M ≥ 2 475739 441552 887337 471106 > 827 [i]
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(8172, 453, F8, 3, 145) (dual of [(453, 3), 1187, 146]-NRT-code) | [i] | Depth Reduction | |