Information on Result #547177
There is no linear OA(4164, 171, F4, 124) (dual of [171, 7, 125]-code), because residual code would yield OA(440, 46, S4, 31), but
- the linear programming bound shows that M ≥ 976 812062 248620 373162 590208 / 703 > 440 [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.
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(4165, 177, F4, 124) (dual of [177, 12, 125]-code) | [i] | Construction Y1 (Bound) | |