Information on Result #555154
There is no linear OOA(2257, 240, F2, 2, 143) (dual of [(240, 2), 223, 144]-NRT-code), because 27 step m-reduction would yield linear OA(2230, 240, F2, 116) (dual of [240, 10, 117]-code), but
- residual code [i] would yield linear OA(2114, 123, F2, 58) (dual of [123, 9, 59]-code), but
- residual code [i] would yield linear OA(256, 64, F2, 29) (dual of [64, 8, 30]-code), but
- 1 times truncation [i] would yield linear OA(255, 63, F2, 28) (dual of [63, 8, 29]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- 1 times truncation [i] would yield linear OA(255, 63, F2, 28) (dual of [63, 8, 29]-code), but
- residual code [i] would yield linear OA(256, 64, F2, 29) (dual of [64, 8, 30]-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(2257, 240, F2, 3, 143) (dual of [(240, 3), 463, 144]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2257, 240, F2, 4, 143) (dual of [(240, 4), 703, 144]-NRT-code) | [i] | ||
| 3 | No linear OOA(2257, 240, F2, 5, 143) (dual of [(240, 5), 943, 144]-NRT-code) | [i] | ||