Information on Result #58774
There is no OA(353, 98, S3, 33), because the linear programming bound shows that M ≥ 70405 986787 631825 456516 749181 938054 391496 023445 621407 247393 974860 100167 193867 925850 156399 787754 027088 012405 632448 512652 067196 819333 / 3435 057828 133240 896934 525314 441640 529877 282946 429987 863449 445479 386348 848486 854894 335014 985183 953870 063104 > 353
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(353, 98, S3, 2, 33) | [i] | Depth Reduction | |
| 2 | No OOA(353, 98, S3, 3, 33) | [i] | ||
| 3 | No OOA(353, 98, S3, 4, 33) | [i] | ||
| 4 | No OOA(353, 98, S3, 5, 33) | [i] | ||
| 5 | No (20, 53, 98)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3152, 198, F3, 99) (dual of [198, 46, 100]-code) | [i] | Residual Code | |