Information on Result #546154
There is no linear OA(215, 21, F2, 8) (dual of [21, 6, 9]-code), because residual code would yield linear OA(27, 12, F2, 4) (dual of [12, 5, 5]-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(216, 22, F2, 9) (dual of [22, 6, 10]-code) | [i] | Truncation | |
| 2 | No linear OOA(216, 21, F2, 2, 9) (dual of [(21, 2), 26, 10]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(215, 21, F2, 2, 8) (dual of [(21, 2), 27, 9]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(215, 21, F2, 3, 8) (dual of [(21, 3), 48, 9]-NRT-code) | [i] | ||
| 5 | No linear OOA(215, 21, F2, 4, 8) (dual of [(21, 4), 69, 9]-NRT-code) | [i] | ||
| 6 | No linear OOA(215, 21, F2, 5, 8) (dual of [(21, 5), 90, 9]-NRT-code) | [i] | ||
| 7 | No linear OOA(215, 21, F2, 6, 8) (dual of [(21, 6), 111, 9]-NRT-code) | [i] | ||
| 8 | No linear OOA(215, 21, F2, 7, 8) (dual of [(21, 7), 132, 9]-NRT-code) | [i] | ||
| 9 | No linear OOA(215, 21, F2, 8, 8) (dual of [(21, 8), 153, 9]-NRT-code) | [i] | ||
| 10 | No digital (7, 15, 21)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(231, 38, F2, 16) (dual of [38, 7, 17]-code) | [i] | Residual Code | |
| 12 | No linear OA(216, 25, F2, 8) (dual of [25, 9, 9]-code) | [i] | Construction Y1 (Bound) | |