Information on Result #697947
Linear OA(32106, 349, F32, 58) (dual of [349, 243, 59]-code), using construction X applied to Ce(57) ⊂ Ce(54) 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(3299, 342, F32, 55) (dual of [342, 243, 56]-code), using an extension Ce(54) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(322, 7, F32, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), 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(32106, 174, F32, 2, 58) (dual of [(174, 2), 242, 59]-NRT-code) | [i] | OOA Folding | |