Information on Result #697606
Linear OA(3288, 1049, F32, 42) (dual of [1049, 961, 43]-code), using construction X applied to Ce(41) ⊂ Ce(32) based on
- linear OA(3280, 1024, F32, 42) (dual of [1024, 944, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- 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(328, 25, F32, 8) (dual of [25, 17, 9]-code or 25-arc in PG(7,32)), using
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), using
- Reed–Solomon code RS(24,32) [i]
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), 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(16110, 1049, S16, 42) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(3288, 937, F32, 2, 42) (dual of [(937, 2), 1786, 43]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (46, 88, 937)-net over F32 | [i] | ||
| 4 | Linear OOA(3288, 524, F32, 2, 42) (dual of [(524, 2), 960, 43]-NRT-code) | [i] | OOA Folding | |