Information on Result #58247
There is no OA(2121, 143, S2, 58), because the linear programming bound shows that M ≥ 2 880149 953618 823154 754002 677302 486141 763584 / 966875 > 2121
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(2122, 144, S2, 59) | [i] | Truncation | |
| 2 | No OOA(2122, 143, S2, 2, 59) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(2121, 143, S2, 2, 58) | [i] | Depth Reduction | |
| 4 | No OOA(2121, 143, S2, 3, 58) | [i] | ||
| 5 | No OOA(2121, 143, S2, 4, 58) | [i] | ||
| 6 | No OOA(2121, 143, S2, 5, 58) | [i] | ||
| 7 | No OOA(2121, 143, S2, 6, 58) | [i] | ||
| 8 | No OOA(2121, 143, S2, 7, 58) | [i] | ||
| 9 | No OOA(2121, 143, S2, 8, 58) | [i] | ||
| 10 | No (63, 121, 143)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2237, 260, F2, 116) (dual of [260, 23, 117]-code) | [i] | Residual Code | |