Information on Result #547077
There is no linear OA(3245, 262, F3, 162) (dual of [262, 17, 163]-code), because residual code would yield OA(383, 99, S3, 54), but
- the linear programming bound shows that M ≥ 212325 169720 869780 184660 026483 230346 001188 329823 / 51 112831 > 383 [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(3246, 263, F3, 163) (dual of [263, 17, 164]-code) | [i] | Truncation | |
| 2 | No linear OA(3247, 264, F3, 164) (dual of [264, 17, 165]-code) | [i] | ||
| 3 | No linear OOA(3246, 262, F3, 2, 163) (dual of [(262, 2), 278, 164]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3247, 262, F3, 2, 164) (dual of [(262, 2), 277, 165]-NRT-code) | [i] | ||
| 5 | No linear OOA(3245, 262, F3, 2, 162) (dual of [(262, 2), 279, 163]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3245, 262, F3, 3, 162) (dual of [(262, 3), 541, 163]-NRT-code) | [i] | ||
| 7 | No linear OOA(3245, 262, F3, 4, 162) (dual of [(262, 4), 803, 163]-NRT-code) | [i] | ||
| 8 | No linear OOA(3245, 262, F3, 5, 162) (dual of [(262, 5), 1065, 163]-NRT-code) | [i] | ||
| 9 | No digital (83, 245, 262)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |