Information on Result #548362
There is no linear OA(2169, 178, F2, 86) (dual of [178, 9, 87]-code), because residual code would yield linear OA(283, 91, F2, 43) (dual of [91, 8, 44]-code), but
- “DMa†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(2170, 179, F2, 87) (dual of [179, 9, 88]-code) | [i] | Truncation | |
| 2 | No linear OOA(2169, 178, F2, 2, 86) (dual of [(178, 2), 187, 87]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(2169, 178, F2, 3, 86) (dual of [(178, 3), 365, 87]-NRT-code) | [i] | ||
| 4 | No linear OOA(2169, 178, F2, 4, 86) (dual of [(178, 4), 543, 87]-NRT-code) | [i] | ||
| 5 | No linear OOA(2169, 178, F2, 5, 86) (dual of [(178, 5), 721, 87]-NRT-code) | [i] | ||
| 6 | No linear OOA(2169, 178, F2, 6, 86) (dual of [(178, 6), 899, 87]-NRT-code) | [i] | ||
| 7 | No linear OOA(2169, 178, F2, 7, 86) (dual of [(178, 7), 1077, 87]-NRT-code) | [i] | ||
| 8 | No linear OOA(2169, 178, F2, 8, 86) (dual of [(178, 8), 1255, 87]-NRT-code) | [i] | ||