Information on Result #546509
There is no linear OA(2244, 266, F2, 120) (dual of [266, 22, 121]-code), because residual code would yield OA(2124, 145, S2, 60), but
- the linear programming bound shows that M ≥ 5708 745767 519656 448539 450248 080629 672418 738176 / 226 811221 > 2124 [i]
Mode: Bound (linear).
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(2245, 267, F2, 121) (dual of [267, 22, 122]-code) | [i] | Truncation | |
| 2 | No linear OOA(2245, 266, F2, 2, 121) (dual of [(266, 2), 287, 122]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2244, 266, F2, 2, 120) (dual of [(266, 2), 288, 121]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2244, 266, F2, 3, 120) (dual of [(266, 3), 554, 121]-NRT-code) | [i] | ||
| 5 | No linear OOA(2244, 266, F2, 4, 120) (dual of [(266, 4), 820, 121]-NRT-code) | [i] | ||
| 6 | No linear OOA(2244, 266, F2, 5, 120) (dual of [(266, 5), 1086, 121]-NRT-code) | [i] | ||
| 7 | No linear OOA(2244, 266, F2, 6, 120) (dual of [(266, 6), 1352, 121]-NRT-code) | [i] | ||
| 8 | No linear OOA(2244, 266, F2, 7, 120) (dual of [(266, 7), 1618, 121]-NRT-code) | [i] | ||
| 9 | No linear OOA(2244, 266, F2, 8, 120) (dual of [(266, 8), 1884, 121]-NRT-code) | [i] | ||
| 10 | No digital (124, 244, 266)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |