Information on Result #547092
There is no linear OA(416, 31, F4, 12) (dual of [31, 15, 13]-code), because residual code would yield linear OA(44, 18, F4, 3) (dual of [18, 14, 4]-code or 18-cap in PG(3,4)), 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(425, 41, F4, 19) (dual of [41, 16, 20]-code) | [i] | Construction Y1 (Bound) | |
| 2 | No linear OA(415, 31, F4, 11) (dual of [31, 16, 12]-code) | [i] | ||