Information on Result #59825
There is no OA(469, 195, S4, 45), because the linear programming bound shows that M ≥ 82 828010 425088 398135 365726 677314 464149 340113 774380 345347 664035 522400 039552 947596 743692 557981 180235 874304 000000 / 227 578582 237535 291818 752893 814619 068871 044126 923591 235904 712727 792773 > 469
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(469, 195, S4, 2, 45) | [i] | Depth Reduction | |
| 2 | No OOA(469, 195, S4, 3, 45) | [i] | ||
| 3 | No (24, 69, 195)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4249, 376, F4, 180) (dual of [376, 127, 181]-code) | [i] | Residual Code | |