Information on Result #547225
There is no linear OA(4189, 309, F4, 136) (dual of [309, 120, 137]-code), because residual code would yield OA(453, 172, S4, 34), but
- the linear programming bound shows that M ≥ 123466 093718 521640 819257 910588 141484 804246 154591 951516 762688 716800 / 1516 591174 436793 940747 804532 901223 > 453 [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.
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, 310, F4, 137) (dual of [310, 120, 138]-code) | [i] | Truncation | |
| 2 | No linear OA(4191, 311, F4, 138) (dual of [311, 120, 139]-code) | [i] | ||
| 3 | No linear OA(4192, 312, F4, 139) (dual of [312, 120, 140]-code) | [i] | ||