Information on Result #59792
There is no OA(464, 159, S4, 43), because the linear programming bound shows that M ≥ 45270 819771 373261 134814 974786 535179 781633 219686 501979 035125 061347 877742 643588 123815 870907 832622 000802 701749 559691 837440 / 132 156573 038196 016753 662455 730323 092222 536469 928086 508825 109263 446128 015973 837189 > 464
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(464, 159, S4, 2, 43) | [i] | Depth Reduction | |
| 2 | No OOA(464, 159, S4, 3, 43) | [i] | ||
| 3 | No (21, 64, 159)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4236, 332, F4, 172) (dual of [332, 96, 173]-code) | [i] | Residual Code | |