Information on Result #696375
Linear OA(2792, 191, F27, 53) (dual of [191, 99, 54]-code), using construction X applied to Ce(52) ⊂ Ce(49) based on
- linear OA(2790, 183, F27, 53) (dual of [183, 93, 54]-code), using an extension Ce(52) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(2784, 183, F27, 50) (dual of [183, 99, 51]-code), using an extension Ce(49) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(272, 8, F27, 2) (dual of [8, 6, 3]-code or 8-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(2792, 95, F27, 2, 53) (dual of [(95, 2), 98, 54]-NRT-code) | [i] | OOA Folding | |