Information on Result #697975
Linear OA(32109, 356, F32, 58) (dual of [356, 247, 59]-code), using construction X applied to Ce(57) ⊂ Ce(51) based on
- linear OA(32104, 342, F32, 58) (dual of [342, 238, 59]-code), using an extension Ce(57) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(3295, 342, F32, 52) (dual of [342, 247, 53]-code), using an extension Ce(51) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(325, 14, F32, 5) (dual of [14, 9, 6]-code or 14-arc in PG(4,32)), using
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- Reed–Solomon code RS(27,32) [i]
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), 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, 178, F32, 2, 58) (dual of [(178, 2), 247, 59]-NRT-code) | [i] | OOA Folding | |