Information on Result #59793
There is no OA(465, 174, S4, 43), because the linear programming bound shows that M ≥ 2 356982 708196 944001 632405 639197 943867 825680 395816 503599 985988 433957 852565 175436 909425 167874 773494 005760 / 1698 395268 555289 237515 503113 977957 762702 705839 816361 669722 314819 > 465
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(465, 174, S4, 2, 43) | [i] | Depth Reduction | |
| 2 | No OOA(465, 174, S4, 3, 43) | [i] | ||
| 3 | No (22, 65, 174)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4237, 347, F4, 172) (dual of [347, 110, 173]-code) | [i] | Residual Code | |