Information on Result #869071
Linear OOA(3215, 516, F32, 2, 7) (dual of [(516, 2), 1017, 8]-NRT-code), using OOA 2-folding based on linear OA(3215, 1032, F32, 7) (dual of [1032, 1017, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- linear OA(3213, 1024, F32, 7) (dual of [1024, 1011, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(327, 1024, F32, 4) (dual of [1024, 1017, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(322, 8, F32, 2) (dual of [8, 6, 3]-code or 8-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(3281, 4194817, F32, 2, 14) (dual of [(4194817, 2), 8389553, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3286, 4194817, F32, 2, 15) (dual of [(4194817, 2), 8389548, 16]-NRT-code) | [i] | ||
| 3 | OOA(3279, 4194817, S32, 2, 14) | [i] | ||
| 4 | OOA(3284, 4194817, S32, 2, 15) | [i] | ||