Information on Result #546645
There is no linear OA(3146, 230, F3, 93) (dual of [230, 84, 94]-code), because residual code would yield OA(353, 136, S3, 31), but
- the linear programming bound shows that M ≥ 28 065209 106339 096583 292950 536466 552238 923456 737666 668230 316919 703911 / 1 370741 790957 279909 955012 441247 049995 659111 > 353 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(3147, 231, F3, 94) (dual of [231, 84, 95]-code) | [i] | Truncation | |
| 2 | No linear OA(3148, 232, F3, 95) (dual of [232, 84, 96]-code) | [i] | ||
| 3 | No linear OOA(3147, 230, F3, 2, 94) (dual of [(230, 2), 313, 95]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3148, 230, F3, 2, 95) (dual of [(230, 2), 312, 96]-NRT-code) | [i] | ||
| 5 | No linear OOA(3146, 230, F3, 2, 93) (dual of [(230, 2), 314, 94]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3146, 230, F3, 3, 93) (dual of [(230, 3), 544, 94]-NRT-code) | [i] | ||
| 7 | No linear OOA(3146, 230, F3, 4, 93) (dual of [(230, 4), 774, 94]-NRT-code) | [i] | ||
| 8 | No linear OOA(3146, 230, F3, 5, 93) (dual of [(230, 5), 1004, 94]-NRT-code) | [i] | ||
| 9 | No digital (53, 146, 230)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |