Information on Result #696840
Linear OA(3249, 32768, F32, 17) (dual of [32768, 32719, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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(3252, 32771, F32, 18) (dual of [32771, 32719, 19]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3249, 32771, F32, 17) (dual of [32771, 32722, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(3260, 32779, F32, 20) (dual of [32779, 32719, 21]-code) | [i] | ✔ | |
| 4 | Linear OA(3251, 32779, F32, 17) (dual of [32779, 32728, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(3268, 32787, F32, 22) (dual of [32787, 32719, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(3253, 32787, F32, 17) (dual of [32787, 32734, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(3276, 32795, F32, 24) (dual of [32795, 32719, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(3255, 32795, F32, 17) (dual of [32795, 32740, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(3284, 32801, F32, 26) (dual of [32801, 32717, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(3285, 32804, F32, 26) (dual of [32804, 32719, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(3293, 32812, F32, 28) (dual of [32812, 32719, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(32103, 32822, F32, 30) (dual of [32822, 32719, 31]-code) | [i] | ✔ | |