Information on Result #548274
There is no linear OA(727, 30, F7, 24) (dual of [30, 3, 25]-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(728, 31, F7, 25) (dual of [31, 3, 26]-code) | [i] | Truncation | |
| 2 | No linear OA(729, 32, F7, 26) (dual of [32, 3, 27]-code) | [i] | ||
| 3 | No linear OA(730, 33, F7, 27) (dual of [33, 3, 28]-code) | [i] | ||
| 4 | No linear OOA(756, 30, F7, 2, 53) (dual of [(30, 2), 4, 54]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(757, 30, F7, 2, 54) (dual of [(30, 2), 3, 55]-NRT-code) | [i] | ||
| 6 | No linear OOA(786, 30, F7, 3, 83) (dual of [(30, 3), 4, 84]-NRT-code) | [i] | ||
| 7 | No linear OOA(787, 30, F7, 3, 84) (dual of [(30, 3), 3, 85]-NRT-code) | [i] | ||
| 8 | No linear OOA(727, 30, F7, 2, 24) (dual of [(30, 2), 33, 25]-NRT-code) | [i] | Depth Reduction | |
| 9 | No linear OA(728, 40, F7, 24) (dual of [40, 12, 25]-code) | [i] | Construction Y1 (Bound) | |