Information on Result #697981
Linear OA(3297, 356, F32, 51) (dual of [356, 259, 52]-code), using construction X applied to Ce(50) ⊂ Ce(45) based on
- 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(3283, 342, F32, 46) (dual of [342, 259, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [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(3297, 178, F32, 2, 51) (dual of [(178, 2), 259, 52]-NRT-code) | [i] | OOA Folding | |