Information on Result #59839
There is no OA(468, 160, S4, 46), because the linear programming bound shows that M ≥ 10178 629433 929836 486543 068800 140163 269042 043780 022134 664338 507769 510819 622533 364638 543087 235674 689592 586232 641534 482804 572425 994198 736437 248000 / 113203 572801 045878 145860 058818 437218 882917 411800 440768 742206 357256 206420 022337 868833 760142 804084 942919 > 468
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(469, 161, S4, 47) | [i] | Truncation | |
| 2 | No OOA(469, 160, S4, 2, 47) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(468, 160, S4, 2, 46) | [i] | Depth Reduction | |
| 4 | No OOA(468, 160, S4, 3, 46) | [i] | ||
| 5 | No (22, 68, 160)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(4252, 345, F4, 184) (dual of [345, 93, 185]-code) | [i] | Residual Code | |