Information on Result #697950
Linear OA(32102, 351, F32, 55) (dual of [351, 249, 56]-code), using construction X applied to Ce(54) ⊂ Ce(50) based on
- linear OA(3299, 342, F32, 55) (dual of [342, 243, 56]-code), using an extension Ce(54) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(3293, 342, F32, 51) (dual of [342, 249, 52]-code), using an extension Ce(50) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(323, 9, F32, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,32) or 9-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(32102, 175, F32, 2, 55) (dual of [(175, 2), 248, 56]-NRT-code) | [i] | OOA Folding | |