Information on Result #697952
Linear OA(3297, 350, F32, 52) (dual of [350, 253, 53]-code), using construction X applied to Ce(51) ⊂ Ce(48) based on
- linear OA(3295, 342, F32, 52) (dual of [342, 247, 53]-code), using an extension Ce(51) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3289, 342, F32, 49) (dual of [342, 253, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [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(3297, 175, F32, 2, 52) (dual of [(175, 2), 253, 53]-NRT-code) | [i] | OOA Folding |