Information on Result #547601
There is no linear OA(8159, 304, F8, 136) (dual of [304, 145, 137]-code), because residual code would yield OA(823, 167, S8, 17), but
- 1 times truncation [i] would yield OA(822, 166, S8, 16), but
- the linear programming bound shows that M ≥ 26 798659 959530 216996 696935 502970 880000 / 354598 749781 763993 > 822 [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(8160, 305, F8, 137) (dual of [305, 145, 138]-code) | [i] | Truncation | |
| 2 | No linear OA(8161, 306, F8, 138) (dual of [306, 145, 139]-code) | [i] | ||
| 3 | No linear OA(8162, 307, F8, 139) (dual of [307, 145, 140]-code) | [i] | ||
| 4 | No linear OA(8163, 308, F8, 140) (dual of [308, 145, 141]-code) | [i] | ||
| 5 | No linear OA(8164, 309, F8, 141) (dual of [309, 145, 142]-code) | [i] | ||
| 6 | No linear OA(8165, 310, F8, 142) (dual of [310, 145, 143]-code) | [i] | ||
| 7 | No linear OA(8166, 311, F8, 143) (dual of [311, 145, 144]-code) | [i] | ||