Information on Result #546507
There is no linear OA(2242, 259, F2, 120) (dual of [259, 17, 121]-code), because residual code would yield OA(2122, 138, S2, 60), but
- the linear programming bound shows that M ≥ 9 124501 527801 504428 538658 410979 148706 086912 / 1 627593 > 2122 [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(2243, 260, F2, 121) (dual of [260, 17, 122]-code) | [i] | Truncation | |
| 2 | No linear OOA(2243, 259, F2, 2, 121) (dual of [(259, 2), 275, 122]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2244, 259, F2, 2, 122) (dual of [(259, 2), 274, 123]-NRT-code) | [i] | ||
| 4 | No linear OOA(2245, 259, F2, 2, 123) (dual of [(259, 2), 273, 124]-NRT-code) | [i] | ||
| 5 | No linear OOA(2242, 259, F2, 2, 120) (dual of [(259, 2), 276, 121]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(2242, 259, F2, 3, 120) (dual of [(259, 3), 535, 121]-NRT-code) | [i] | ||
| 7 | No linear OOA(2242, 259, F2, 4, 120) (dual of [(259, 4), 794, 121]-NRT-code) | [i] | ||
| 8 | No linear OOA(2242, 259, F2, 5, 120) (dual of [(259, 5), 1053, 121]-NRT-code) | [i] | ||
| 9 | No linear OOA(2242, 259, F2, 6, 120) (dual of [(259, 6), 1312, 121]-NRT-code) | [i] | ||
| 10 | No linear OOA(2242, 259, F2, 7, 120) (dual of [(259, 7), 1571, 121]-NRT-code) | [i] | ||
| 11 | No linear OOA(2242, 259, F2, 8, 120) (dual of [(259, 8), 1830, 121]-NRT-code) | [i] | ||
| 12 | No digital (122, 242, 259)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |