Information on Result #618055
Linear OA(3222, 32768, F32, 8) (dual of [32768, 32746, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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(3226, 32801, F32, 8) (dual of [32801, 32775, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3227, 32812, F32, 8) (dual of [32812, 32785, 9]-code) | [i] | ||
| 3 | Linear OA(3228, 33760, F32, 8) (dual of [33760, 33732, 9]-code) | [i] | ||
| 4 | Linear OOA(3222, 17899, F32, 2, 8) (dual of [(17899, 2), 35776, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (14, 22, 17899)-net over F32 | [i] | ||
| 6 | Linear OA(3227, 32774, F32, 8) (dual of [32774, 32747, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(3228, 32834, F32, 8) (dual of [32834, 32806, 9]-code) | [i] | ||
| 8 | Linear OA(3225, 32771, F32, 9) (dual of [32771, 32746, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(3222, 32771, F32, 8) (dual of [32771, 32749, 9]-code) | [i] | ✔ | |
| 10 | Linear OA(3229, 32775, F32, 10) (dual of [32775, 32746, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(3223, 32775, F32, 8) (dual of [32775, 32752, 9]-code) | [i] | ✔ | |
| 12 | Linear OA(3233, 32779, F32, 11) (dual of [32779, 32746, 12]-code) | [i] | ✔ | |
| 13 | Linear OA(3224, 32779, F32, 8) (dual of [32779, 32755, 9]-code) | [i] | ✔ | |
| 14 | Linear OA(3237, 32783, F32, 12) (dual of [32783, 32746, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(3225, 32783, F32, 8) (dual of [32783, 32758, 9]-code) | [i] | ✔ | |
| 16 | Linear OA(3241, 32787, F32, 13) (dual of [32787, 32746, 14]-code) | [i] | ✔ | |
| 17 | Linear OA(3245, 32791, F32, 14) (dual of [32791, 32746, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(3249, 32795, F32, 15) (dual of [32795, 32746, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(3253, 32799, F32, 16) (dual of [32799, 32746, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(3232, 32779, F32, 10) (dual of [32779, 32747, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 21 | Linear OOA(3222, 8192, F32, 8, 8) (dual of [(8192, 8), 65514, 9]-NRT-code) | [i] | OA Folding and Stacking | |