Information on Result #697995
Linear OA(3294, 214, F32, 53) (dual of [214, 120, 54]-code), using construction X applied to C([0,26]) ⊂ C([0,23]) based on
- linear OA(3289, 205, F32, 53) (dual of [205, 116, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 205 | 324−1, defining interval I = [0,26], and minimum distance d ≥ |{−26,−25,…,26}|+1 = 54 (BCH-bound) [i]
- linear OA(3285, 205, F32, 47) (dual of [205, 120, 48]-code), using the expurgated narrow-sense BCH-code C(I) with length 205 | 324−1, defining interval I = [0,23], and minimum distance d ≥ |{−23,−22,…,23}|+1 = 48 (BCH-bound) [i]
- linear OA(325, 9, F32, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,32)), using
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- Reed–Solomon code RS(27,32) [i]
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), 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(3294, 214, F32, 52) (dual of [214, 120, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3295, 215, F32, 53) (dual of [215, 120, 54]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3293, 213, F32, 52) (dual of [213, 120, 53]-code) | [i] | Truncation | |
| 4 | Linear OA(3292, 212, F32, 51) (dual of [212, 120, 52]-code) | [i] | ||
| 5 | Linear OOA(3294, 107, F32, 2, 53) (dual of [(107, 2), 120, 54]-NRT-code) | [i] | OOA Folding | |