Information on Result #59163
There is no OA(3102, 145, S3, 63), because the linear programming bound shows that M ≥ 776506 070804 940797 482287 435756 684689 957091 430666 641508 706084 490920 965603 695219 / 159956 166343 221247 242988 544800 > 3102
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(3102, 145, S3, 2, 63) | [i] | Depth Reduction | |
| 2 | No OOA(3102, 145, S3, 3, 63) | [i] | ||
| 3 | No OOA(3102, 145, S3, 4, 63) | [i] | ||
| 4 | No OOA(3102, 145, S3, 5, 63) | [i] | ||
| 5 | No (39, 102, 145)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3103, 214, F3, 63) (dual of [214, 111, 64]-code) | [i] | Construction Y1 (Bound) | |
| 7 | No linear OA(3103, 212, F3, 63) (dual of [212, 109, 64]-code) | [i] | ||