Information on Result #59774
There is no OA(461, 135, S4, 42), because the linear programming bound shows that M ≥ 14553 096315 947253 640884 776913 168926 302451 665455 919283 135527 723519 103281 609358 744533 636652 915559 579757 398043 602406 873493 852833 510337 625815 402107 895808 / 2665 663747 457635 051830 020094 359849 599949 322414 129592 914794 116842 536378 425306 982781 909625 123448 656307 846295 612863 > 461
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(461, 135, S4, 2, 42) | [i] | Depth Reduction | |
| 2 | No OOA(461, 135, S4, 3, 42) | [i] | ||
| 3 | No (19, 61, 135)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4229, 304, F4, 168) (dual of [304, 75, 169]-code) | [i] | Residual Code | |