Information on Result #58825
There is no OA(358, 103, S3, 36), because the linear programming bound shows that M ≥ 10156 978991 001331 162956 096121 250957 052835 549981 966253 500685 908151 917037 752938 447734 452120 610565 247729 783614 274683 456708 473505 647028 881750 777661 / 2 150100 658067 421186 781820 643305 293437 760326 405421 945649 628834 598190 514781 560026 381075 663150 228993 281922 344503 352960 > 358
Mode: Bound.
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 OOA(358, 103, S3, 2, 36) | [i] | Depth Reduction | |
| 2 | No OOA(358, 103, S3, 3, 36) | [i] | ||
| 3 | No OOA(358, 103, S3, 4, 36) | [i] | ||
| 4 | No OOA(358, 103, S3, 5, 36) | [i] | ||
| 5 | No (22, 58, 103)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3166, 212, F3, 108) (dual of [212, 46, 109]-code) | [i] | Residual Code | |