Information on Result #697979
Linear OA(32101, 356, F32, 53) (dual of [356, 255, 54]-code), using construction X applied to Ce(52) ⊂ Ce(47) based on
- linear OA(3297, 342, F32, 53) (dual of [342, 245, 54]-code), using an extension Ce(52) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(3287, 342, F32, 48) (dual of [342, 255, 49]-code), using an extension Ce(47) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(324, 14, F32, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,32)), using
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- Reed–Solomon code RS(28,32) [i]
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), 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(32101, 178, F32, 2, 53) (dual of [(178, 2), 255, 54]-NRT-code) | [i] | OOA Folding | |