Information on Result #59742
There is no OA(455, 82, S4, 40), because the linear programming bound shows that M ≥ 107905 021301 419780 483625 545678 890111 036273 077132 460032 / 75 305424 318160 354325 > 455
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(455, 82, S4, 2, 40) | [i] | Depth Reduction | |
| 2 | No OOA(455, 82, S4, 3, 40) | [i] | ||
| 3 | No (15, 55, 82)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4215, 243, F4, 160) (dual of [243, 28, 161]-code) | [i] | Residual Code | |