Information on Result #58755
There is no OA(352, 105, S3, 32), because the linear programming bound shows that M ≥ 29 330225 592130 803136 745611 225395 212262 193588 634831 271757 335853 509826 810148 464776 801448 991899 388366 356985 499477 294420 691377 937257 862478 653455 313397 755257 162480 466860 126870 987226 968820 627089 194046 / 4 200617 664767 811156 493569 334999 400989 114272 802755 402230 840938 949130 567633 580649 943699 209510 278255 358909 727860 736080 753000 241068 211059 029487 882457 532813 925399 388366 987623 > 352
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(352, 105, S3, 2, 32) | [i] | Depth Reduction | |
| 2 | No OOA(352, 105, S3, 3, 32) | [i] | ||
| 3 | No OOA(352, 105, S3, 4, 32) | [i] | ||
| 4 | No OOA(352, 105, S3, 5, 32) | [i] | ||
| 5 | No (20, 52, 105)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3148, 202, F3, 96) (dual of [202, 54, 97]-code) | [i] | Residual Code | |