Information on Result #547580
There is no linear OA(895, 272, F8, 80) (dual of [272, 177, 81]-code), because residual code would yield OA(815, 191, S8, 10), but
- the linear programming bound shows that M ≥ 25 427098 382149 761175 126016 / 717528 710051 > 815 [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(896, 273, F8, 81) (dual of [273, 177, 82]-code) | [i] | Truncation | |
| 2 | No linear OA(897, 274, F8, 82) (dual of [274, 177, 83]-code) | [i] | ||
| 3 | No linear OA(898, 275, F8, 83) (dual of [275, 177, 84]-code) | [i] | ||
| 4 | No linear OA(899, 276, F8, 84) (dual of [276, 177, 85]-code) | [i] | ||
| 5 | No linear OOA(896, 272, F8, 2, 81) (dual of [(272, 2), 448, 82]-NRT-code) | [i] | m-Reduction for OOAs | |
| 6 | No linear OOA(897, 272, F8, 2, 82) (dual of [(272, 2), 447, 83]-NRT-code) | [i] | ||
| 7 | No linear OOA(898, 272, F8, 2, 83) (dual of [(272, 2), 446, 84]-NRT-code) | [i] | ||
| 8 | No linear OOA(899, 272, F8, 2, 84) (dual of [(272, 2), 445, 85]-NRT-code) | [i] | ||
| 9 | No linear OOA(895, 272, F8, 2, 80) (dual of [(272, 2), 449, 81]-NRT-code) | [i] | Depth Reduction | |
| 10 | No linear OOA(895, 272, F8, 3, 80) (dual of [(272, 3), 721, 81]-NRT-code) | [i] | ||
| 11 | No digital (15, 95, 272)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |