Information on Result #60084
There is no OA(4109, 135, S4, 78), because the linear programming bound shows that M ≥ 1 381415 346084 105880 317215 393836 473441 211153 164709 215619 710745 577423 733411 192078 598144 / 3 210734 020015 964827 > 4109
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(4110, 136, S4, 79) | [i] | Truncation | |
| 2 | No OOA(4110, 135, S4, 2, 79) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(4109, 135, S4, 2, 78) | [i] | Depth Reduction | |
| 4 | No OOA(4109, 135, S4, 3, 78) | [i] | ||
| 5 | No (31, 109, 135)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |