Information on Result #2156191
There is no linear OA(216, 24, F2, 8) (dual of [24, 8, 9]-code), because adding a parity check bit would yield linear OA(217, 25, F2, 9) (dual of [25, 8, 10]-code), but
- “YH1†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 OOA(217, 24, F2, 2, 9) (dual of [(24, 2), 31, 10]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(216, 24, F2, 2, 8) (dual of [(24, 2), 32, 9]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(216, 24, F2, 3, 8) (dual of [(24, 3), 56, 9]-NRT-code) | [i] | ||
| 4 | No linear OOA(216, 24, F2, 4, 8) (dual of [(24, 4), 80, 9]-NRT-code) | [i] | ||
| 5 | No linear OOA(216, 24, F2, 5, 8) (dual of [(24, 5), 104, 9]-NRT-code) | [i] | ||
| 6 | No linear OOA(216, 24, F2, 6, 8) (dual of [(24, 6), 128, 9]-NRT-code) | [i] | ||
| 7 | No linear OOA(216, 24, F2, 7, 8) (dual of [(24, 7), 152, 9]-NRT-code) | [i] | ||
| 8 | No linear OOA(216, 24, F2, 8, 8) (dual of [(24, 8), 176, 9]-NRT-code) | [i] | ||
| 9 | No digital (8, 16, 24)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |