Information on Result #563120
There is no linear OOA(821, 27, F8, 2, 19) (dual of [(27, 2), 33, 20]-NRT-code), because 3 step m-reduction would yield linear OA(818, 27, F8, 16) (dual of [27, 9, 17]-code), but
- residual code [i] would yield OA(82, 10, S8, 2), but
- bound for OAs with strength k = 2 [i]
- the Rao or (dual) Hamming bound shows that M ≥ 71 > 82 [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(821, 27, F8, 3, 19) (dual of [(27, 3), 60, 20]-NRT-code) | [i] | Depth Reduction | |