Information on Result #548412
There is no linear OA(2226, 236, F2, 114) (dual of [236, 10, 115]-code), because residual code would yield linear OA(2112, 121, F2, 57) (dual of [121, 9, 58]-code), but
- 1 times truncation [i] would yield linear OA(2111, 120, F2, 56) (dual of [120, 9, 57]-code), but
- residual code [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]
- residual code [i] would yield linear OA(255, 63, F2, 28) (dual of [63, 8, 29]-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.
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(2227, 237, F2, 115) (dual of [237, 10, 116]-code) | [i] | Truncation | |
| 2 | No linear OOA(2226, 236, F2, 2, 114) (dual of [(236, 2), 246, 115]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(2226, 236, F2, 3, 114) (dual of [(236, 3), 482, 115]-NRT-code) | [i] | ||
| 4 | No linear OOA(2226, 236, F2, 4, 114) (dual of [(236, 4), 718, 115]-NRT-code) | [i] | ||
| 5 | No linear OOA(2226, 236, F2, 5, 114) (dual of [(236, 5), 954, 115]-NRT-code) | [i] | ||
| 6 | No linear OOA(2226, 236, F2, 6, 114) (dual of [(236, 6), 1190, 115]-NRT-code) | [i] | ||
| 7 | No linear OOA(2226, 236, F2, 7, 114) (dual of [(236, 7), 1426, 115]-NRT-code) | [i] | ||
| 8 | No linear OOA(2226, 236, F2, 8, 114) (dual of [(236, 8), 1662, 115]-NRT-code) | [i] | ||