Information on Result #618074
Linear OA(3228, 32768, F32, 10) (dual of [32768, 32740, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(3233, 32801, F32, 10) (dual of [32801, 32768, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3234, 32812, F32, 10) (dual of [32812, 32778, 11]-code) | [i] | ||
| 3 | Linear OA(3235, 33761, F32, 10) (dual of [33761, 33726, 11]-code) | [i] | ||
| 4 | Linear OA(3236, 32777, F32, 10) (dual of [32777, 32741, 11]-code) | [i] | Generalized (u, u+v)-Construction | |
| 5 | Linear OA(3235, 32776, F32, 10) (dual of [32776, 32741, 11]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(3236, 32834, F32, 10) (dual of [32834, 32798, 11]-code) | [i] | ||
| 7 | Linear OA(3231, 32771, F32, 11) (dual of [32771, 32740, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(3228, 32771, F32, 10) (dual of [32771, 32743, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(3235, 32775, F32, 12) (dual of [32775, 32740, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(3229, 32775, F32, 10) (dual of [32775, 32746, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(3239, 32779, F32, 13) (dual of [32779, 32740, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(3230, 32779, F32, 10) (dual of [32779, 32749, 11]-code) | [i] | ✔ | |
| 13 | Linear OA(3243, 32783, F32, 14) (dual of [32783, 32740, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(3231, 32783, F32, 10) (dual of [32783, 32752, 11]-code) | [i] | ✔ | |
| 15 | Linear OA(3247, 32787, F32, 15) (dual of [32787, 32740, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(3232, 32787, F32, 10) (dual of [32787, 32755, 11]-code) | [i] | ✔ | |
| 17 | Linear OA(3251, 32791, F32, 16) (dual of [32791, 32740, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(3255, 32795, F32, 17) (dual of [32795, 32740, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(3259, 32799, F32, 18) (dual of [32799, 32740, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(3264, 32804, F32, 19) (dual of [32804, 32740, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(3268, 32808, F32, 20) (dual of [32808, 32740, 21]-code) | [i] | ✔ | |