Information on Result #548281
There is no linear OA(847, 50, F8, 42) (dual of [50, 3, 43]-code), because “Hi4†bound on codes from Brouwer’s database
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(848, 51, F8, 43) (dual of [51, 3, 44]-code) | [i] | Truncation | |
| 2 | No linear OA(849, 52, F8, 44) (dual of [52, 3, 45]-code) | [i] | ||
| 3 | No linear OA(850, 53, F8, 45) (dual of [53, 3, 46]-code) | [i] | ||
| 4 | No linear OA(851, 54, F8, 46) (dual of [54, 3, 47]-code) | [i] | ||
| 5 | No linear OOA(896, 50, F8, 2, 91) (dual of [(50, 2), 4, 92]-NRT-code) | [i] | m-Reduction for OOAs | |
| 6 | No linear OOA(897, 50, F8, 2, 92) (dual of [(50, 2), 3, 93]-NRT-code) | [i] | ||
| 7 | No linear OOA(8146, 50, F8, 3, 141) (dual of [(50, 3), 4, 142]-NRT-code) | [i] | ||
| 8 | No linear OOA(8147, 50, F8, 3, 142) (dual of [(50, 3), 3, 143]-NRT-code) | [i] | ||
| 9 | No linear OOA(847, 50, F8, 2, 42) (dual of [(50, 2), 53, 43]-NRT-code) | [i] | Depth Reduction | |
| 10 | No linear OOA(847, 50, F8, 3, 42) (dual of [(50, 3), 103, 43]-NRT-code) | [i] | ||
| 11 | No linear OA(848, 58, F8, 42) (dual of [58, 10, 43]-code) | [i] | Construction Y1 (Bound) | |