Information on Result #548355
There is no linear OA(2166, 187, F2, 82) (dual of [187, 21, 83]-code), because residual code would yield linear OA(284, 104, F2, 41) (dual of [104, 20, 42]-code), but
- “Bro†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(2167, 188, F2, 83) (dual of [188, 21, 84]-code) | [i] | Truncation | |
| 2 | No linear OOA(2167, 187, F2, 2, 83) (dual of [(187, 2), 207, 84]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2166, 187, F2, 2, 82) (dual of [(187, 2), 208, 83]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2166, 187, F2, 3, 82) (dual of [(187, 3), 395, 83]-NRT-code) | [i] | ||
| 5 | No linear OOA(2166, 187, F2, 4, 82) (dual of [(187, 4), 582, 83]-NRT-code) | [i] | ||
| 6 | No linear OOA(2166, 187, F2, 5, 82) (dual of [(187, 5), 769, 83]-NRT-code) | [i] | ||
| 7 | No linear OOA(2166, 187, F2, 6, 82) (dual of [(187, 6), 956, 83]-NRT-code) | [i] | ||
| 8 | No linear OOA(2166, 187, F2, 7, 82) (dual of [(187, 7), 1143, 83]-NRT-code) | [i] | ||
| 9 | No linear OOA(2166, 187, F2, 8, 82) (dual of [(187, 8), 1330, 83]-NRT-code) | [i] | ||
| 10 | No digital (84, 166, 187)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |