Information on Result #58802
There is no OA(351, 58, S3, 35), because the linear programming bound shows that M ≥ 2151 540269 112482 208544 436253 / 946 > 351
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 OA(352, 59, S3, 36) | [i] | Truncation | |
| 2 | No OA(353, 60, S3, 37) | [i] | ||
| 3 | No OOA(352, 58, S3, 2, 36) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(353, 58, S3, 2, 37) | [i] | ||
| 5 | No OOA(354, 58, S3, 2, 38) | [i] | ||
| 6 | No OOA(355, 58, S3, 2, 39) | [i] | ||
| 7 | No OOA(356, 58, S3, 2, 40) | [i] | ||
| 8 | No OOA(357, 58, S3, 2, 41) | [i] | ||
| 9 | No OOA(358, 58, S3, 2, 42) | [i] | ||
| 10 | No OOA(359, 58, S3, 2, 43) | [i] | ||
| 11 | No OOA(360, 58, S3, 2, 44) | [i] | ||
| 12 | No OOA(361, 58, S3, 2, 45) | [i] | ||
| 13 | No OOA(362, 58, S3, 2, 46) | [i] | ||
| 14 | No OOA(363, 58, S3, 2, 47) | [i] | ||
| 15 | No OOA(364, 58, S3, 2, 48) | [i] | ||
| 16 | No OOA(365, 58, S3, 2, 49) | [i] | ||
| 17 | No OOA(366, 58, S3, 2, 50) | [i] | ||
| 18 | No OOA(367, 58, S3, 2, 51) | [i] | ||
| 19 | No OOA(368, 58, S3, 2, 52) | [i] | ||
| 20 | No OOA(369, 58, S3, 2, 53) | [i] | ||
| 21 | No OOA(370, 58, S3, 2, 54) | [i] | ||
| 22 | No OOA(371, 58, S3, 2, 55) | [i] | ||
| 23 | No OOA(372, 58, S3, 2, 56) | [i] | ||
| 24 | No OOA(373, 58, S3, 2, 57) | [i] | ||
| 25 | No OOA(374, 58, S3, 2, 58) | [i] | ||
| 26 | No OOA(375, 58, S3, 2, 59) | [i] | ||
| 27 | No OOA(376, 58, S3, 2, 60) | [i] | ||
| 28 | No OOA(377, 58, S3, 2, 61) | [i] | ||
| 29 | No OOA(378, 58, S3, 2, 62) | [i] | ||
| 30 | No OOA(379, 58, S3, 2, 63) | [i] | ||
| 31 | No OOA(380, 58, S3, 2, 64) | [i] | ||
| 32 | No OOA(381, 58, S3, 2, 65) | [i] | ||
| 33 | No OOA(382, 58, S3, 2, 66) | [i] | ||
| 34 | No OOA(383, 58, S3, 2, 67) | [i] | ||
| 35 | No OOA(384, 58, S3, 2, 68) | [i] | ||
| 36 | No OOA(385, 58, S3, 2, 69) | [i] | ||
| 37 | No OOA(351, 58, S3, 2, 35) | [i] | Depth Reduction | |
| 38 | No OOA(351, 58, S3, 3, 35) | [i] | ||
| 39 | No OOA(351, 58, S3, 4, 35) | [i] | ||
| 40 | No OOA(351, 58, S3, 5, 35) | [i] | ||
| 41 | No (16, 51, 58)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 42 | No linear OA(3156, 164, F3, 105) (dual of [164, 8, 106]-code) | [i] | Residual Code | |