Information on Result #61773
There is no OA(868, 129, S8, 58), because the linear programming bound shows that M ≥ 20 423916 642337 205523 928607 099756 711293 246644 779949 302711 254567 876669 357102 726545 532958 919416 099938 071027 095965 862225 974464 449597 862840 382815 334612 368701 259776 / 792164 797992 276600 764564 676858 309110 181230 101805 412678 737259 727537 315744 123907 878278 981123 447823 > 868
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(868, 129, S8, 2, 58) | [i] | Depth Reduction | |
| 2 | No OOA(868, 129, S8, 3, 58) | [i] | ||
| 3 | No (10, 68, 129)-net in base 8 | [i] | Extracting Embedded Orthogonal Array | |