Information on Result #554823
There is no linear OOA(2247, 255, F2, 2, 126) (dual of [(255, 2), 263, 127]-NRT-code), because 2 step m-reduction would yield linear OA(2245, 255, F2, 124) (dual of [255, 10, 125]-code), but
- residual code [i] 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]
- residual code [i] would yield linear OA(259, 67, F2, 31) (dual of [67, 8, 32]-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 OOA(2247, 255, F2, 3, 126) (dual of [(255, 3), 518, 127]-NRT-code) | [i] | Depth Reduction | |
2 | No linear OOA(2247, 255, F2, 4, 126) (dual of [(255, 4), 773, 127]-NRT-code) | [i] | ||
3 | No linear OOA(2247, 255, F2, 5, 126) (dual of [(255, 5), 1028, 127]-NRT-code) | [i] | ||
4 | No linear OOA(2247, 255, F2, 6, 126) (dual of [(255, 6), 1283, 127]-NRT-code) | [i] | ||
5 | No linear OOA(2247, 255, F2, 7, 126) (dual of [(255, 7), 1538, 127]-NRT-code) | [i] | ||
6 | No linear OOA(2247, 255, F2, 8, 126) (dual of [(255, 8), 1793, 127]-NRT-code) | [i] |