Information on Result #60832
There is no OA(5106, 127, S5, 82), because the linear programming bound shows that M ≥ 40 487096 187152 630316 758183 078765 316046 236804 017519 582410 411516 093518 002890 050411 224365 234375 / 319472 137902 581586 > 5106
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 OA(5107, 128, S5, 83) | [i] | Truncation | |
| 2 | No OOA(5107, 127, S5, 2, 83) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(5106, 127, S5, 2, 82) | [i] | Depth Reduction | |
| 4 | No OOA(5106, 127, S5, 3, 82) | [i] | ||
| 5 | No (24, 106, 127)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |