Information on Result #697387
Linear OA(3266, 1033, F32, 33) (dual of [1033, 967, 34]-code), using construction X applied to Ce(32) ⊂ Ce(28) 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(3257, 1024, F32, 29) (dual of [1024, 967, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(323, 9, F32, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,32) or 9-cap in PG(2,32)), using
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- Reed–Solomon code RS(29,32) [i]
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), 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 | OA(8110, 1033, S8, 33) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1683, 1033, S16, 33) | [i] | ||
| 3 | Linear OOA(3266, 516, F32, 2, 33) (dual of [(516, 2), 966, 34]-NRT-code) | [i] | OOA Folding | |