Information on Result #58235
There is no OA(2119, 146, S2, 56), because the linear programming bound shows that M ≥ 5165 551323 791927 774620 548045 364260 917630 468096 / 7704 797749 > 2119
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(2120, 147, S2, 57) | [i] | Truncation | |
| 2 | No OOA(2120, 146, S2, 2, 57) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(2119, 146, S2, 2, 56) | [i] | Depth Reduction | |
| 4 | No OOA(2119, 146, S2, 3, 56) | [i] | ||
| 5 | No OOA(2119, 146, S2, 4, 56) | [i] | ||
| 6 | No OOA(2119, 146, S2, 5, 56) | [i] | ||
| 7 | No OOA(2119, 146, S2, 6, 56) | [i] | ||
| 8 | No OOA(2119, 146, S2, 7, 56) | [i] | ||
| 9 | No OOA(2119, 146, S2, 8, 56) | [i] | ||
| 10 | No (63, 119, 146)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2120, 162, F2, 56) (dual of [162, 42, 57]-code) | [i] | Construction Y1 (Bound) | |