Information on Result #59840
There is no OA(469, 175, S4, 46), because the linear programming bound shows that M ≥ 672974 508783 713085 919446 392721 434812 374063 221813 152066 788676 290147 045574 983959 198536 005103 820640 027801 847804 723200 000000 / 1 829712 211075 097010 907956 226624 270704 376891 436886 295247 592787 694007 310519 329949 > 469
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(470, 176, S4, 47) | [i] | Truncation | |
| 2 | No OA(471, 177, S4, 48) | [i] | ||
| 3 | No OA(472, 178, S4, 49) | [i] | ||
| 4 | No OA(473, 179, S4, 50) | [i] | ||
| 5 | No OOA(470, 175, S4, 2, 47) | [i] | m-Reduction for OOAs | |
| 6 | No OOA(471, 175, S4, 2, 48) | [i] | ||
| 7 | No OOA(472, 175, S4, 2, 49) | [i] | ||
| 8 | No OOA(473, 175, S4, 2, 50) | [i] | ||
| 9 | No OOA(469, 175, S4, 2, 46) | [i] | Depth Reduction | |
| 10 | No OOA(469, 175, S4, 3, 46) | [i] | ||
| 11 | No (23, 69, 175)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 12 | No linear OA(4253, 360, F4, 184) (dual of [360, 107, 185]-code) | [i] | Residual Code | |