Information on Result #60115
There is no OA(4116, 143, S4, 83), because the linear programming bound shows that M ≥ 247019 501721 767325 521677 985124 228608 567579 718666 161103 517597 971229 442510 874624 631519 576064 / 26 250606 256753 373495 > 4116
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(4116, 143, S4, 2, 83) | [i] | Depth Reduction | |
| 2 | No OOA(4116, 143, S4, 3, 83) | [i] | ||
| 3 | No (33, 116, 143)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4117, 203, F4, 83) (dual of [203, 86, 84]-code) | [i] | Construction Y1 (Bound) | |