Information on Result #60525
There is no OA(553, 96, S5, 41), because the linear programming bound shows that M ≥ 84 186533 679041 948678 494756 526007 417171 393468 860758 105001 239942 762172 942249 034854 624437 150538 707186 342435 306869 447231 292724 609375 / 7 205071 110217 819586 689819 848441 076161 798390 729318 755209 443221 110336 829722 721982 817244 620063 > 553
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(553, 96, S5, 2, 41) | [i] | Depth Reduction | |
| 2 | No OOA(553, 96, S5, 3, 41) | [i] | ||
| 3 | No (12, 53, 96)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |