Information on Result #547902
There is no linear OA(4189, 204, F4, 142) (dual of [204, 15, 143]-code), because construction Y1 would yield
- linear OA(4188, 196, F4, 142) (dual of [196, 8, 143]-code), but
- construction Y1 [i] would yield
- linear OA(4187, 192, F4, 142) (dual of [192, 5, 143]-code), but
- OA(48, 196, S4, 4), but
- discarding factors would yield OA(48, 121, S4, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 65704 > 48 [i]
- discarding factors would yield OA(48, 121, S4, 4), but
- construction Y1 [i] would yield
- OA(415, 204, S4, 8), but
- discarding factors would yield OA(415, 135, S4, 8), but
- the Rao or (dual) Hamming bound shows that M ≥ 1082 768311 > 415 [i]
- discarding factors would yield OA(415, 135, S4, 8), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(4190, 205, F4, 143) (dual of [205, 15, 144]-code) | [i] | Truncation | |