Information on Result #697988
Linear OA(32109, 362, F32, 57) (dual of [362, 253, 58]-code), using construction X applied to Ce(56) ⊂ Ce(48) based on
- linear OA(32102, 342, F32, 57) (dual of [342, 240, 58]-code), using an extension Ce(56) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(3289, 342, F32, 49) (dual of [342, 253, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(327, 20, F32, 7) (dual of [20, 13, 8]-code or 20-arc in PG(6,32)), using
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), using
- Reed–Solomon code RS(25,32) [i]
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), 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(32109, 181, F32, 2, 57) (dual of [(181, 2), 253, 58]-NRT-code) | [i] | OOA Folding | |