Information on Result #599859
There is no digital (27, 171, 453)-net over F8, because extracting embedded orthogonal array 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, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (27, 172, 453)-net over F8 | [i] | m-Reduction | |
| 2 | No digital (27, 173, 453)-net over F8 | [i] | ||