Information on Result #696855
Linear OA(3219, 32768, F32, 7) (dual of [32768, 32749, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 OOA(3219, 22028, F32, 2, 7) (dual of [(22028, 2), 44037, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (12, 19, 22028)-net over F32 | [i] | ||
| 3 | Linear OA(3222, 32771, F32, 8) (dual of [32771, 32749, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3219, 32771, F32, 7) (dual of [32771, 32752, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(3230, 32779, F32, 10) (dual of [32779, 32749, 11]-code) | [i] | ✔ | |
| 6 | Linear OA(3221, 32779, F32, 7) (dual of [32779, 32758, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(3238, 32787, F32, 12) (dual of [32787, 32749, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(3246, 32795, F32, 14) (dual of [32795, 32749, 15]-code) | [i] | ✔ | |