Information on Result #870650
Linear OOA(3265, 515, F32, 2, 33) (dual of [(515, 2), 965, 34]-NRT-code), using OOA 2-folding based on linear OA(3265, 1030, F32, 33) (dual of [1030, 965, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
- linear OA(3263, 1024, F32, 33) (dual of [1024, 961, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3259, 1024, F32, 30) (dual of [1024, 965, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(322, 6, F32, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
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 OOA(3292, 635, F32, 2, 33) (dual of [(635, 2), 1178, 34]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Digital (32, 65, 515)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |