Information on Result #60801
There is no OA(599, 117, S5, 77), because the linear programming bound shows that M ≥ 1856 586827 495109 693107 965362 093462 886026 486169 388505 231836 461462 080478 668212 890625 / 1 144811 144204 > 599
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(5100, 118, S5, 78) | [i] | Truncation | |
| 2 | No OOA(5100, 117, S5, 2, 78) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(599, 117, S5, 2, 77) | [i] | Depth Reduction | |
| 4 | No OOA(599, 117, S5, 3, 77) | [i] | ||
| 5 | No (22, 99, 117)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |