Information on Result #59853
There is no OA(467, 123, S4, 47), because the linear programming bound shows that M ≥ 43402 647924 975488 920450 003944 566378 964570 407885 930315 158568 274900 052775 055729 425702 074252 778284 519466 230412 079171 949623 812197 935803 959581 270319 073009 003679 424611 406027 085968 310272 / 1 972722 979992 492582 380725 903751 953752 652629 461130 906381 054114 627794 331612 476321 726116 126868 678992 555081 191829 266311 527075 509736 859232 980625 > 467
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(467, 123, S4, 2, 47) | [i] | Depth Reduction | |
| 2 | No OOA(467, 123, S4, 3, 47) | [i] | ||
| 3 | No (20, 67, 123)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4255, 312, F4, 188) (dual of [312, 57, 189]-code) | [i] | Residual Code | |