Information on Result #548428
There is no linear OA(2253, 277, F2, 124) (dual of [277, 24, 125]-code), because residual code would yield linear OA(2129, 152, F2, 62) (dual of [152, 23, 63]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2130, 153, F2, 62) (dual of [153, 23, 63]-code), but
- adding a parity check bit [i] would yield linear OA(2131, 154, F2, 63) (dual of [154, 23, 64]-code), but
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(2254, 278, F2, 125) (dual of [278, 24, 126]-code) | [i] | Truncation | |
| 2 | No linear OOA(2254, 277, F2, 2, 125) (dual of [(277, 2), 300, 126]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2253, 277, F2, 2, 124) (dual of [(277, 2), 301, 125]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2253, 277, F2, 3, 124) (dual of [(277, 3), 578, 125]-NRT-code) | [i] | ||
| 5 | No linear OOA(2253, 277, F2, 4, 124) (dual of [(277, 4), 855, 125]-NRT-code) | [i] | ||
| 6 | No linear OOA(2253, 277, F2, 5, 124) (dual of [(277, 5), 1132, 125]-NRT-code) | [i] | ||
| 7 | No linear OOA(2253, 277, F2, 6, 124) (dual of [(277, 6), 1409, 125]-NRT-code) | [i] | ||
| 8 | No linear OOA(2253, 277, F2, 7, 124) (dual of [(277, 7), 1686, 125]-NRT-code) | [i] | ||
| 9 | No linear OOA(2253, 277, F2, 8, 124) (dual of [(277, 8), 1963, 125]-NRT-code) | [i] | ||
| 10 | No digital (129, 253, 277)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |