Information on Result #548211
There is no linear OA(322, 28, F3, 15) (dual of [28, 6, 16]-code), because “HHM†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(323, 29, F3, 16) (dual of [29, 6, 17]-code) | [i] | Truncation | |
| 2 | No linear OA(324, 30, F3, 17) (dual of [30, 6, 18]-code) | [i] | ||
| 3 | No linear OOA(323, 28, F3, 2, 16) (dual of [(28, 2), 33, 17]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(324, 28, F3, 2, 17) (dual of [(28, 2), 32, 18]-NRT-code) | [i] | ||
| 5 | No linear OOA(326, 28, F3, 2, 19) (dual of [(28, 2), 30, 20]-NRT-code) | [i] | ||
| 6 | No linear OOA(327, 28, F3, 2, 20) (dual of [(28, 2), 29, 21]-NRT-code) | [i] | ||
| 7 | No linear OOA(322, 28, F3, 2, 15) (dual of [(28, 2), 34, 16]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(322, 28, F3, 3, 15) (dual of [(28, 3), 62, 16]-NRT-code) | [i] | ||
| 9 | No linear OOA(322, 28, F3, 4, 15) (dual of [(28, 4), 90, 16]-NRT-code) | [i] | ||
| 10 | No linear OOA(322, 28, F3, 5, 15) (dual of [(28, 5), 118, 16]-NRT-code) | [i] | ||
| 11 | No digital (7, 22, 28)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 12 | No linear OA(367, 74, F3, 45) (dual of [74, 7, 46]-code) | [i] | Residual Code | |
| 13 | No linear OA(38, 30, F3, 5) (dual of [30, 22, 6]-code) | [i] | Construction Y1 (Bound) | |
| 14 | No linear OA(323, 37, F3, 15) (dual of [37, 14, 16]-code) | [i] | ||