Information on Result #669006
Linear OA(3210, 66, F32, 7) (dual of [66, 56, 8]-code), using (u, u+v)-construction based on
- linear OA(323, 33, F32, 3) (dual of [33, 30, 4]-code or 33-arc in PG(2,32) or 33-cap in PG(2,32)), using
- extended Reed–Solomon code RSe(30,32) [i]
- linear OA(327, 33, F32, 7) (dual of [33, 26, 8]-code or 33-arc in PG(6,32)), using
- extended Reed–Solomon code RSe(26,32) [i]
- the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
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(3239, 1091, F32, 15) (dual of [1091, 1052, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3253, 32835, F32, 15) (dual of [32835, 32782, 16]-code) | [i] | ||
| 3 | Linear OA(3267, 1048643, F32, 15) (dual of [1048643, 1048576, 16]-code) | [i] | ||
| 4 | Linear OA(3237, 1090, F32, 14) (dual of [1090, 1053, 15]-code) | [i] | ||
| 5 | Linear OA(3250, 32834, F32, 14) (dual of [32834, 32784, 15]-code) | [i] | ||
| 6 | Linear OA(3263, 1048642, F32, 14) (dual of [1048642, 1048579, 15]-code) | [i] | ||
| 7 | Linear OA(3239, 1093, F32, 15) (dual of [1093, 1054, 16]-code) | [i] | ||
| 8 | Linear OA(3253, 32837, F32, 15) (dual of [32837, 32784, 16]-code) | [i] | ||
| 9 | Linear OA(3267, 1048646, F32, 15) (dual of [1048646, 1048579, 16]-code) | [i] | ||
| 10 | Linear OA(3237, 1093, F32, 14) (dual of [1093, 1056, 15]-code) | [i] | ||
| 11 | Linear OA(3250, 32837, F32, 14) (dual of [32837, 32787, 15]-code) | [i] | ||
| 12 | Linear OA(3263, 1048646, F32, 14) (dual of [1048646, 1048583, 15]-code) | [i] | ||