Information on Result #547851
There is no linear OA(4110, 244, F4, 77) (dual of [244, 134, 78]-code), because construction Y1 would yield
- OA(4109, 148, S4, 77), but
- the linear programming bound shows that M ≥ 93369 878733 386831 807951 664767 066779 195616 328505 480197 805811 746625 475920 186816 273170 627753 565380 149248 / 221551 214490 977896 234087 779488 628125 > 4109 [i]
- linear OA(4134, 244, F4, 96) (dual of [244, 110, 97]-code), but
- residual code [i] would yield OA(438, 147, S4, 24), but
- the linear programming bound shows that M ≥ 5459 111453 470077 053881 598601 691985 346560 000000 / 69230 222284 404391 824599 > 438 [i]
- residual code [i] would yield OA(438, 147, S4, 24), 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 OOA(4110, 244, F4, 2, 77) (dual of [(244, 2), 378, 78]-NRT-code) | [i] | Depth Reduction | |