Information on Result #59776
There is no OA(463, 165, S4, 42), because the linear programming bound shows that M ≥ 34 077190 942729 726882 024839 335902 035522 717143 016283 935337 510998 524998 580004 361097 586089 334532 997120 / 383476 318008 814835 283839 224897 225684 554347 388608 827379 925139 > 463
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(463, 165, S4, 2, 42) | [i] | Depth Reduction | |
| 2 | No OOA(463, 165, S4, 3, 42) | [i] | ||
| 3 | No (21, 63, 165)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4231, 334, F4, 168) (dual of [334, 103, 169]-code) | [i] | Residual Code | |