Information on Result #696831
Linear OA(3267, 32768, F32, 23) (dual of [32768, 32701, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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 OA(3270, 32771, F32, 24) (dual of [32771, 32701, 25]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3267, 32771, F32, 23) (dual of [32771, 32704, 24]-code) | [i] | ✔ | |
| 3 | Linear OA(3278, 32779, F32, 26) (dual of [32779, 32701, 27]-code) | [i] | ✔ | |
| 4 | Linear OA(3269, 32779, F32, 23) (dual of [32779, 32710, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(3286, 32787, F32, 28) (dual of [32787, 32701, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(3271, 32787, F32, 23) (dual of [32787, 32716, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(3294, 32795, F32, 30) (dual of [32795, 32701, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(3273, 32795, F32, 23) (dual of [32795, 32722, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(32104, 32805, F32, 33) (dual of [32805, 32701, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(32102, 32801, F32, 32) (dual of [32801, 32699, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(3276, 32804, F32, 23) (dual of [32804, 32728, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(32108, 32809, F32, 34) (dual of [32809, 32701, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(3278, 32812, F32, 23) (dual of [32812, 32734, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(32103, 32802, F32, 33) (dual of [32802, 32699, 34]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |