Information on Result #725108
Linear OA(2798, 199, F27, 55) (dual of [199, 101, 56]-code), using construction X applied to C([1,55]) ⊂ C([7,53]) based on
- linear OA(2791, 182, F27, 55) (dual of [182, 91, 56]-code), using the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(2781, 182, F27, 47) (dual of [182, 101, 48]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {7,8,…,53}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(277, 17, F27, 7) (dual of [17, 10, 8]-code or 17-arc in PG(6,27)), using
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), using
- Reed–Solomon code RS(20,27) [i]
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), 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 OA(2797, 198, F27, 54) (dual of [198, 101, 55]-code) | [i] | Truncation | |
| 2 | Linear OOA(2798, 99, F27, 2, 55) (dual of [(99, 2), 100, 56]-NRT-code) | [i] | OOA Folding | |