Information on Result #58249
There is no OA(2123, 150, S2, 58), because the linear programming bound shows that M ≥ 36000 467012 365704 432940 148948 904738 978722 217984 / 3201 323125 > 2123
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(2124, 151, S2, 59) | [i] | Truncation | |
| 2 | No OOA(2124, 150, S2, 2, 59) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(2123, 150, S2, 2, 58) | [i] | Depth Reduction | |
| 4 | No OOA(2123, 150, S2, 3, 58) | [i] | ||
| 5 | No OOA(2123, 150, S2, 4, 58) | [i] | ||
| 6 | No OOA(2123, 150, S2, 5, 58) | [i] | ||
| 7 | No OOA(2123, 150, S2, 6, 58) | [i] | ||
| 8 | No OOA(2123, 150, S2, 7, 58) | [i] | ||
| 9 | No OOA(2123, 150, S2, 8, 58) | [i] | ||
| 10 | No (65, 123, 150)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2239, 267, F2, 116) (dual of [267, 28, 117]-code) | [i] | Residual Code | |
| 12 | No linear OA(2124, 166, F2, 58) (dual of [166, 42, 59]-code) | [i] | Construction Y1 (Bound) | |