Information on Result #618318
Linear OA(32103, 32768, F32, 36) (dual of [32768, 32665, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36
Mode: Constructive and 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 | Linear OA(32106, 32771, F32, 37) (dual of [32771, 32665, 38]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(32103, 32771, F32, 36) (dual of [32771, 32668, 37]-code) | [i] | ✔ | |
| 3 | Linear OA(32110, 32775, F32, 38) (dual of [32775, 32665, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(32104, 32775, F32, 36) (dual of [32775, 32671, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(32105, 32779, F32, 36) (dual of [32779, 32674, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(32107, 32784, F32, 36) (dual of [32784, 32677, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(32108, 32788, F32, 36) (dual of [32788, 32680, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(32109, 32792, F32, 36) (dual of [32792, 32683, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(32110, 32796, F32, 36) (dual of [32796, 32686, 37]-code) | [i] | ✔ | |
| 10 | Linear OOA(32103, 1820, F32, 36, 36) (dual of [(1820, 36), 65417, 37]-NRT-code) | [i] | OA Folding and Stacking | |