Information on Result #548275
There is no linear OA(734, 37, F7, 30) (dual of [37, 3, 31]-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(735, 38, F7, 31) (dual of [38, 3, 32]-code) | [i] | Truncation | |
| 2 | No linear OA(736, 39, F7, 32) (dual of [39, 3, 33]-code) | [i] | ||
| 3 | No linear OA(737, 40, F7, 33) (dual of [40, 3, 34]-code) | [i] | ||
| 4 | No linear OOA(770, 37, F7, 2, 66) (dual of [(37, 2), 4, 67]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(771, 37, F7, 2, 67) (dual of [(37, 2), 3, 68]-NRT-code) | [i] | ||
| 6 | No linear OOA(7107, 37, F7, 3, 103) (dual of [(37, 3), 4, 104]-NRT-code) | [i] | ||
| 7 | No linear OOA(7108, 37, F7, 3, 104) (dual of [(37, 3), 3, 105]-NRT-code) | [i] | ||
| 8 | No linear OOA(734, 37, F7, 2, 30) (dual of [(37, 2), 40, 31]-NRT-code) | [i] | Depth Reduction | |
| 9 | No linear OOA(734, 37, F7, 3, 30) (dual of [(37, 3), 77, 31]-NRT-code) | [i] | ||
| 10 | No linear OA(735, 45, F7, 30) (dual of [45, 10, 31]-code) | [i] | Construction Y1 (Bound) | |