Information on Result #697960
Linear OA(3283, 351, F32, 44) (dual of [351, 268, 45]-code), using construction X applied to Ce(43) ⊂ Ce(39) based on
- linear OA(3280, 342, F32, 44) (dual of [342, 262, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3274, 342, F32, 40) (dual of [342, 268, 41]-code), using an extension Ce(39) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [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(3283, 175, F32, 2, 44) (dual of [(175, 2), 267, 45]-NRT-code) | [i] | OOA Folding | |