Information on Result #547488
There is no linear OA(4249, 256, F4, 188) (dual of [256, 7, 189]-code), because residual code would yield OA(461, 67, S4, 47), but
- 1 times truncation [i] would yield OA(460, 66, S4, 46), but
- the linear programming bound shows that M ≥ 340 282366 920938 463463 374607 431768 211456 / 235 > 460 [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(4250, 257, F4, 189) (dual of [257, 7, 190]-code) | [i] | Truncation | |
| 2 | No linear OA(4251, 258, F4, 190) (dual of [258, 7, 191]-code) | [i] | ||
| 3 | No linear OA(4252, 259, F4, 191) (dual of [259, 7, 192]-code) | [i] | ||
| 4 | No linear OOA(4249, 256, F4, 2, 188) (dual of [(256, 2), 263, 189]-NRT-code) | [i] | Depth Reduction | |