Information on Result #546657
There is no linear OA(3151, 233, F3, 96) (dual of [233, 82, 97]-code), because residual code would yield OA(355, 136, S3, 32), but
- the linear programming bound shows that M ≥ 3692 381881 435086 561083 538512 781551 192892 214805 966690 241846 076111 760291 378162 952668 981065 231048 784442 555038 600643 905023 157760 / 19 467037 909253 478265 941280 359023 466094 270607 906474 140765 003376 713759 364882 992681 224990 199775 364421 > 355 [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(3152, 234, F3, 97) (dual of [234, 82, 98]-code) | [i] | Truncation | |
| 2 | No linear OA(3153, 235, F3, 98) (dual of [235, 82, 99]-code) | [i] | ||
| 3 | No linear OOA(3152, 233, F3, 2, 97) (dual of [(233, 2), 314, 98]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3153, 233, F3, 2, 98) (dual of [(233, 2), 313, 99]-NRT-code) | [i] | ||
| 5 | No linear OOA(3151, 233, F3, 2, 96) (dual of [(233, 2), 315, 97]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3151, 233, F3, 3, 96) (dual of [(233, 3), 548, 97]-NRT-code) | [i] | ||
| 7 | No linear OOA(3151, 233, F3, 4, 96) (dual of [(233, 4), 781, 97]-NRT-code) | [i] | ||
| 8 | No linear OOA(3151, 233, F3, 5, 96) (dual of [(233, 5), 1014, 97]-NRT-code) | [i] | ||
| 9 | No digital (55, 151, 233)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |