Information on Result #548426
There is no linear OA(2245, 255, F2, 124) (dual of [255, 10, 125]-code), because residual code would yield linear OA(2121, 130, F2, 62) (dual of [130, 9, 63]-code), but
- residual code [i] would yield linear OA(259, 67, F2, 31) (dual of [67, 8, 32]-code), but
- “DHM†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.
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 linear OA(2246, 256, F2, 125) (dual of [256, 10, 126]-code) | [i] | Truncation | |
| 2 | No linear OA(2247, 257, F2, 126) (dual of [257, 10, 127]-code) | [i] | ||
| 3 | No linear OA(2248, 258, F2, 127) (dual of [258, 10, 128]-code) | [i] | ||
| 4 | No linear OOA(2246, 255, F2, 2, 125) (dual of [(255, 2), 264, 126]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(2247, 255, F2, 2, 126) (dual of [(255, 2), 263, 127]-NRT-code) | [i] | ||
| 6 | No linear OOA(2248, 255, F2, 2, 127) (dual of [(255, 2), 262, 128]-NRT-code) | [i] | ||
| 7 | No linear OOA(2250, 255, F2, 2, 129) (dual of [(255, 2), 260, 130]-NRT-code) | [i] | ||
| 8 | No linear OOA(2251, 255, F2, 2, 130) (dual of [(255, 2), 259, 131]-NRT-code) | [i] | ||
| 9 | No linear OOA(2252, 255, F2, 2, 131) (dual of [(255, 2), 258, 132]-NRT-code) | [i] | ||
| 10 | No linear OOA(2253, 255, F2, 2, 132) (dual of [(255, 2), 257, 133]-NRT-code) | [i] | ||
| 11 | No linear OOA(2254, 255, F2, 2, 133) (dual of [(255, 2), 256, 134]-NRT-code) | [i] | ||
| 12 | No linear OOA(2255, 255, F2, 2, 134) (dual of [(255, 2), 255, 135]-NRT-code) | [i] | ||
| 13 | No linear OOA(2256, 255, F2, 2, 135) (dual of [(255, 2), 254, 136]-NRT-code) | [i] | ||
| 14 | No linear OOA(2257, 255, F2, 2, 136) (dual of [(255, 2), 253, 137]-NRT-code) | [i] | ||
| 15 | No linear OOA(2258, 255, F2, 2, 137) (dual of [(255, 2), 252, 138]-NRT-code) | [i] | ||
| 16 | No linear OOA(2259, 255, F2, 2, 138) (dual of [(255, 2), 251, 139]-NRT-code) | [i] | ||
| 17 | No linear OOA(2260, 255, F2, 2, 139) (dual of [(255, 2), 250, 140]-NRT-code) | [i] | ||
| 18 | No linear OOA(2245, 255, F2, 2, 124) (dual of [(255, 2), 265, 125]-NRT-code) | [i] | Depth Reduction | |
| 19 | No linear OOA(2245, 255, F2, 3, 124) (dual of [(255, 3), 520, 125]-NRT-code) | [i] | ||
| 20 | No linear OOA(2245, 255, F2, 4, 124) (dual of [(255, 4), 775, 125]-NRT-code) | [i] | ||
| 21 | No linear OOA(2245, 255, F2, 5, 124) (dual of [(255, 5), 1030, 125]-NRT-code) | [i] | ||
| 22 | No linear OOA(2245, 255, F2, 6, 124) (dual of [(255, 6), 1285, 125]-NRT-code) | [i] | ||
| 23 | No linear OOA(2245, 255, F2, 7, 124) (dual of [(255, 7), 1540, 125]-NRT-code) | [i] | ||
| 24 | No linear OOA(2245, 255, F2, 8, 124) (dual of [(255, 8), 1795, 125]-NRT-code) | [i] | ||
| 25 | No digital (121, 245, 255)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |