Information on Result #548427
There is no linear OA(2246, 257, F2, 124) (dual of [257, 11, 125]-code), because residual code would yield linear OA(2122, 132, F2, 62) (dual of [132, 10, 63]-code), but
- residual code [i] would yield linear OA(260, 69, F2, 31) (dual of [69, 9, 32]-code), but
- “BGV†bound on codes from Brouwer’s database [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(2247, 258, F2, 125) (dual of [258, 11, 126]-code) | [i] | Truncation | |
| 2 | No linear OOA(2247, 257, F2, 2, 125) (dual of [(257, 2), 267, 126]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2248, 257, F2, 2, 126) (dual of [(257, 2), 266, 127]-NRT-code) | [i] | ||
| 4 | No linear OOA(2249, 257, F2, 2, 127) (dual of [(257, 2), 265, 128]-NRT-code) | [i] | ||
| 5 | No linear OOA(2246, 257, F2, 2, 124) (dual of [(257, 2), 268, 125]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(2246, 257, F2, 3, 124) (dual of [(257, 3), 525, 125]-NRT-code) | [i] | ||
| 7 | No linear OOA(2246, 257, F2, 4, 124) (dual of [(257, 4), 782, 125]-NRT-code) | [i] | ||
| 8 | No linear OOA(2246, 257, F2, 5, 124) (dual of [(257, 5), 1039, 125]-NRT-code) | [i] | ||
| 9 | No linear OOA(2246, 257, F2, 6, 124) (dual of [(257, 6), 1296, 125]-NRT-code) | [i] | ||
| 10 | No linear OOA(2246, 257, F2, 7, 124) (dual of [(257, 7), 1553, 125]-NRT-code) | [i] | ||
| 11 | No linear OOA(2246, 257, F2, 8, 124) (dual of [(257, 8), 1810, 125]-NRT-code) | [i] | ||
| 12 | No digital (122, 246, 257)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |