Information on Result #727356
Linear OA(32110, 215, F32, 63) (dual of [215, 105, 64]-code), using construction X applied to C([71,134]) ⊂ C([73,132]) based on
- linear OA(32108, 205, F32, 64) (dual of [205, 97, 65]-code), using the BCH-code C(I) with length 205 | 324−1, defining interval I = {71,72,…,134}, and designed minimum distance d ≥ |I|+1 = 65 [i]
- linear OA(32100, 205, F32, 60) (dual of [205, 105, 61]-code), using the BCH-code C(I) with length 205 | 324−1, defining interval I = {73,74,…,132}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(322, 10, F32, 2) (dual of [10, 8, 3]-code or 10-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 OA(32110, 215, F32, 62) (dual of [215, 105, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(32109, 214, F32, 62) (dual of [214, 105, 63]-code) | [i] | Truncation | |
| 3 | Linear OOA(32110, 107, F32, 2, 63) (dual of [(107, 2), 104, 64]-NRT-code) | [i] | OOA Folding | |