Information on Result #698001
Linear OA(32108, 216, F32, 61) (dual of [216, 108, 62]-code), using construction X applied to C([0,30]) ⊂ C([0,28]) based on
- linear OA(32105, 205, F32, 61) (dual of [205, 100, 62]-code), using the expurgated narrow-sense BCH-code C(I) with length 205 | 324−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (BCH-bound) [i]
- linear OA(3297, 205, F32, 57) (dual of [205, 108, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 205 | 324−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (BCH-bound) [i]
- linear OA(323, 11, F32, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,32) or 11-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 | Linear OOA(32108, 108, F32, 2, 61) (dual of [(108, 2), 108, 62]-NRT-code) | [i] | OOA Folding | |