Information on Result #547644
There is no linear OA(3299, 132, F32, 96) (dual of [132, 33, 97]-code), because residual code would yield OA(323, 35, S32, 3), but
- 1 times truncation [i] would yield OA(322, 34, S32, 2), but
- bound for OAs with strength k = 2 [i]
- the Rao or (dual) Hamming bound shows that M ≥ 1055 > 322 [i]
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(32100, 133, F32, 97) (dual of [133, 33, 98]-code) | [i] | Truncation | |
| 2 | No linear OA(32101, 134, F32, 98) (dual of [134, 33, 99]-code) | [i] | ||
| 3 | No linear OA(32102, 135, F32, 99) (dual of [135, 33, 100]-code) | [i] | ||
| 4 | No linear OA(32103, 136, F32, 100) (dual of [136, 33, 101]-code) | [i] | ||
| 5 | No linear OA(32104, 137, F32, 101) (dual of [137, 33, 102]-code) | [i] | ||
| 6 | No linear OA(32105, 138, F32, 102) (dual of [138, 33, 103]-code) | [i] | ||
| 7 | No linear OA(32106, 139, F32, 103) (dual of [139, 33, 104]-code) | [i] | ||
| 8 | No linear OA(32107, 140, F32, 104) (dual of [140, 33, 105]-code) | [i] | ||
| 9 | No linear OA(32108, 141, F32, 105) (dual of [141, 33, 106]-code) | [i] | ||
| 10 | No linear OA(32109, 142, F32, 106) (dual of [142, 33, 107]-code) | [i] | ||
| 11 | No linear OA(32110, 143, F32, 107) (dual of [143, 33, 108]-code) | [i] | ||
| 12 | No linear OOA(32100, 132, F32, 2, 97) (dual of [(132, 2), 164, 98]-NRT-code) | [i] | m-Reduction for OOAs | |
| 13 | No linear OOA(32101, 132, F32, 2, 98) (dual of [(132, 2), 163, 99]-NRT-code) | [i] | ||
| 14 | No linear OOA(32102, 132, F32, 2, 99) (dual of [(132, 2), 162, 100]-NRT-code) | [i] | ||
| 15 | No linear OOA(32103, 132, F32, 2, 100) (dual of [(132, 2), 161, 101]-NRT-code) | [i] | ||
| 16 | No linear OOA(32104, 132, F32, 2, 101) (dual of [(132, 2), 160, 102]-NRT-code) | [i] | ||
| 17 | No linear OOA(32105, 132, F32, 2, 102) (dual of [(132, 2), 159, 103]-NRT-code) | [i] | ||
| 18 | No linear OOA(32106, 132, F32, 2, 103) (dual of [(132, 2), 158, 104]-NRT-code) | [i] | ||
| 19 | No linear OOA(32107, 132, F32, 2, 104) (dual of [(132, 2), 157, 105]-NRT-code) | [i] | ||
| 20 | No linear OOA(32108, 132, F32, 2, 105) (dual of [(132, 2), 156, 106]-NRT-code) | [i] | ||
| 21 | No linear OOA(32109, 132, F32, 2, 106) (dual of [(132, 2), 155, 107]-NRT-code) | [i] | ||
| 22 | No linear OOA(32110, 132, F32, 2, 107) (dual of [(132, 2), 154, 108]-NRT-code) | [i] | ||
| 23 | No linear OOA(3299, 132, F32, 2, 96) (dual of [(132, 2), 165, 97]-NRT-code) | [i] | Depth Reduction | |
| 24 | No digital (3, 99, 132)-net over F32 | [i] | Extracting Embedded Orthogonal Array | |
| 25 | No linear OA(3288, 187, F32, 85) (dual of [187, 99, 86]-code) | [i] | Construction Y1 (Bound) | |