Information on Result #60633
There is no OA(564, 113, S5, 49), because the linear programming bound shows that M ≥ 156606 210358 824936 582349 373022 311212 937060 941451 069127 521993 338668 053985 230882 148782 901484 641130 932895 340677 202256 074451 724998 652935 028076 171875 / 267 291464 691824 785899 503749 748874 718481 761014 320571 914004 118955 970335 822493 496252 091117 857604 462643 > 564
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(564, 113, S5, 2, 49) | [i] | Depth Reduction | |
| 2 | No OOA(564, 113, S5, 3, 49) | [i] | ||
| 3 | No (15, 64, 113)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |