Information on Result #696441
Linear OA(2789, 200, F27, 49) (dual of [200, 111, 50]-code), using construction X applied to Ce(48) ⊂ Ce(41) based on
- linear OA(2783, 183, F27, 49) (dual of [183, 100, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(2772, 183, F27, 42) (dual of [183, 111, 43]-code), using an extension Ce(41) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(276, 17, F27, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,27)), using
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), using
- Reed–Solomon code RS(21,27) [i]
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), 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(2789, 100, F27, 2, 49) (dual of [(100, 2), 111, 50]-NRT-code) | [i] | OOA Folding | |