Information on Result #696376
Linear OA(2790, 190, F27, 52) (dual of [190, 100, 53]-code), using construction X applied to Ce(51) ⊂ Ce(48) based on
- linear OA(2788, 183, F27, 52) (dual of [183, 95, 53]-code), using an extension Ce(51) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- 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(272, 7, F27, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), 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(2790, 95, F27, 2, 52) (dual of [(95, 2), 100, 53]-NRT-code) | [i] | OOA Folding | |