Information on Result #58901
There is no OA(365, 116, S3, 40), because the linear programming bound shows that M ≥ 1010 233715 716651 107612 542215 638091 218609 672761 165524 903593 924473 005111 306769 562821 186134 762126 385755 152296 422613 586112 342241 377727 269019 414533 549609 685737 803087 / 94 423144 003278 216048 118473 500831 454684 060079 864523 188758 682434 278034 186489 210172 080884 936271 279930 533580 650501 446289 752944 864745 > 365
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(365, 116, S3, 2, 40) | [i] | Depth Reduction | |
| 2 | No OOA(365, 116, S3, 3, 40) | [i] | ||
| 3 | No OOA(365, 116, S3, 4, 40) | [i] | ||
| 4 | No OOA(365, 116, S3, 5, 40) | [i] | ||
| 5 | No (25, 65, 116)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3185, 237, F3, 120) (dual of [237, 52, 121]-code) | [i] | Residual Code | |