Information on Result #60067
There is no OA(4106, 143, S4, 75), because the linear programming bound shows that M ≥ 189 312298 968815 860250 485793 283965 413843 284713 743252 821000 560707 597443 674955 116200 018233 524224 / 27631 043169 340831 430975 152245 > 4106
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(4106, 143, S4, 2, 75) | [i] | Depth Reduction | |
| 2 | No OOA(4106, 143, S4, 3, 75) | [i] | ||
| 3 | No (31, 106, 143)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4107, 235, F4, 75) (dual of [235, 128, 76]-code) | [i] | Construction Y1 (Bound) | |
| 5 | No linear OA(4107, 231, F4, 75) (dual of [231, 124, 76]-code) | [i] | ||