Information on Result #58060
There is no OA(278, 145, S2, 34), because the linear programming bound shows that M ≥ 6 452658 897421 925882 991923 762933 214377 859980 440698 591468 415644 336128 / 20 712793 240469 221474 764436 259197 787149 263939 > 278
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(279, 146, S2, 35) | [i] | Truncation | |
| 2 | No OOA(279, 145, S2, 2, 35) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(278, 145, S2, 2, 34) | [i] | Depth Reduction | |
| 4 | No OOA(278, 145, S2, 3, 34) | [i] | ||
| 5 | No OOA(278, 145, S2, 4, 34) | [i] | ||
| 6 | No OOA(278, 145, S2, 5, 34) | [i] | ||
| 7 | No OOA(278, 145, S2, 6, 34) | [i] | ||
| 8 | No OOA(278, 145, S2, 7, 34) | [i] | ||
| 9 | No OOA(278, 145, S2, 8, 34) | [i] | ||
| 10 | No (44, 78, 145)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2146, 214, F2, 68) (dual of [214, 68, 69]-code) | [i] | Residual Code | |