Information on Result #547544
There is no linear OA(5142, 248, F5, 110) (dual of [248, 106, 111]-code), because residual code would yield OA(532, 137, S5, 22), but
- the linear programming bound shows that M ≥ 49811 417030 749528 748174 208068 847656 250000 / 2 010328 776131 927263 > 532 [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(5143, 249, F5, 111) (dual of [249, 106, 112]-code) | [i] | Truncation | |
| 2 | No linear OA(5144, 250, F5, 112) (dual of [250, 106, 113]-code) | [i] | ||
| 3 | No linear OA(5145, 251, F5, 113) (dual of [251, 106, 114]-code) | [i] | ||
| 4 | No linear OA(5146, 252, F5, 114) (dual of [252, 106, 115]-code) | [i] | ||
| 5 | No linear OOA(5143, 248, F5, 2, 111) (dual of [(248, 2), 353, 112]-NRT-code) | [i] | m-Reduction for OOAs | |
| 6 | No linear OOA(5144, 248, F5, 2, 112) (dual of [(248, 2), 352, 113]-NRT-code) | [i] | ||
| 7 | No linear OOA(5145, 248, F5, 2, 113) (dual of [(248, 2), 351, 114]-NRT-code) | [i] | ||
| 8 | No linear OOA(5146, 248, F5, 2, 114) (dual of [(248, 2), 350, 115]-NRT-code) | [i] | ||
| 9 | No linear OOA(5142, 248, F5, 2, 110) (dual of [(248, 2), 354, 111]-NRT-code) | [i] | Depth Reduction | |
| 10 | No linear OOA(5142, 248, F5, 3, 110) (dual of [(248, 3), 602, 111]-NRT-code) | [i] | ||
| 11 | No digital (32, 142, 248)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |