Information on Result #554883
There is no linear OOA(2249, 257, F2, 2, 127) (dual of [(257, 2), 265, 128]-NRT-code), because 3 step m-reduction would yield linear OA(2246, 257, F2, 124) (dual of [257, 11, 125]-code), but
- residual code [i] 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]
- residual code [i] would yield linear OA(260, 69, F2, 31) (dual of [69, 9, 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(2249, 257, F2, 3, 127) (dual of [(257, 3), 522, 128]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2249, 257, F2, 4, 127) (dual of [(257, 4), 779, 128]-NRT-code) | [i] | ||
| 3 | No linear OOA(2249, 257, F2, 5, 127) (dual of [(257, 5), 1036, 128]-NRT-code) | [i] | ||
| 4 | No linear OOA(2249, 257, F2, 6, 127) (dual of [(257, 6), 1293, 128]-NRT-code) | [i] | ||
| 5 | No linear OOA(2249, 257, F2, 7, 127) (dual of [(257, 7), 1550, 128]-NRT-code) | [i] | ||
| 6 | No linear OOA(2249, 257, F2, 8, 127) (dual of [(257, 8), 1807, 128]-NRT-code) | [i] | ||