Information on Result #697515
Linear OA(3269, 1042, F32, 33) (dual of [1042, 973, 34]-code), using construction X applied to Ce(32) ⊂ Ce(25) 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(3251, 1024, F32, 26) (dual of [1024, 973, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(326, 18, F32, 6) (dual of [18, 12, 7]-code or 18-arc in PG(5,32)), using
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
- Reed–Solomon code RS(26,32) [i]
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), 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(1687, 1042, S16, 33) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(3269, 788, F32, 2, 33) (dual of [(788, 2), 1507, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (36, 69, 788)-net over F32 | [i] | ||
| 4 | Linear OOA(3269, 521, F32, 2, 33) (dual of [(521, 2), 973, 34]-NRT-code) | [i] | OOA Folding | |