Information on Result #668262
Linear OA(3212, 99, F32, 7) (dual of [99, 87, 8]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(322, 33, F32, 2) (dual of [33, 31, 3]-code or 33-arc in PG(1,32)), using
- extended Reed–Solomon code RSe(31,32) [i]
- Hamming code H(2,32) [i]
- 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(3241, 1124, F32, 15) (dual of [1124, 1083, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3255, 32868, F32, 15) (dual of [32868, 32813, 16]-code) | [i] | ||
| 3 | Linear OA(3269, 1048676, F32, 15) (dual of [1048676, 1048607, 16]-code) | [i] | ||
| 4 | Linear OA(3239, 1123, F32, 14) (dual of [1123, 1084, 15]-code) | [i] | ||
| 5 | Linear OA(3252, 32867, F32, 14) (dual of [32867, 32815, 15]-code) | [i] | ||
| 6 | Linear OA(3265, 1048675, F32, 14) (dual of [1048675, 1048610, 15]-code) | [i] | ||
| 7 | Linear OA(3241, 1126, F32, 15) (dual of [1126, 1085, 16]-code) | [i] | ||
| 8 | Linear OA(3255, 32870, F32, 15) (dual of [32870, 32815, 16]-code) | [i] | ||
| 9 | Linear OA(3269, 1048679, F32, 15) (dual of [1048679, 1048610, 16]-code) | [i] | ||
| 10 | Linear OA(3239, 1126, F32, 14) (dual of [1126, 1087, 15]-code) | [i] | ||
| 11 | Linear OA(3252, 32870, F32, 14) (dual of [32870, 32818, 15]-code) | [i] | ||
| 12 | Linear OA(3265, 1048679, F32, 14) (dual of [1048679, 1048614, 15]-code) | [i] | ||
| 13 | Linear OOA(3212, 49, F32, 2, 7) (dual of [(49, 2), 86, 8]-NRT-code) | [i] | OOA Folding | |