Information on Result #697959
Linear OA(3284, 350, F32, 45) (dual of [350, 266, 46]-code), using construction X applied to Ce(44) ⊂ Ce(40) based on
- linear OA(3281, 342, F32, 45) (dual of [342, 261, 46]-code), using an extension Ce(44) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3276, 342, F32, 41) (dual of [342, 266, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(323, 8, F32, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,32) or 8-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(3284, 175, F32, 2, 45) (dual of [(175, 2), 266, 46]-NRT-code) | [i] | OOA Folding | |