Information on Result #548277
There is no linear OA(813, 16, F8, 12) (dual of [16, 3, 13]-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(814, 17, F8, 13) (dual of [17, 3, 14]-code) | [i] | Truncation | |
| 2 | No linear OA(816, 19, F8, 15) (dual of [19, 3, 16]-code) | [i] | ||
| 3 | No linear OOA(828, 16, F8, 2, 27) (dual of [(16, 2), 4, 28]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(829, 16, F8, 2, 28) (dual of [(16, 2), 3, 29]-NRT-code) | [i] | ||
| 5 | No linear OOA(844, 16, F8, 3, 43) (dual of [(16, 3), 4, 44]-NRT-code) | [i] | ||
| 6 | No linear OOA(845, 16, F8, 3, 44) (dual of [(16, 3), 3, 45]-NRT-code) | [i] | ||
| 7 | No linear OOA(813, 16, F8, 2, 12) (dual of [(16, 2), 19, 13]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OA(8109, 113, F8, 96) (dual of [113, 4, 97]-code) | [i] | Residual Code | |
| 9 | No linear OA(814, 32, F8, 12) (dual of [32, 18, 13]-code) | [i] | Construction Y1 (Bound) | |