Information on Result #696428
Linear OA(2788, 198, F27, 49) (dual of [198, 110, 50]-code), using construction X applied to Ce(48) ⊂ Ce(42) 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(2773, 183, F27, 43) (dual of [183, 110, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(275, 15, F27, 5) (dual of [15, 10, 6]-code or 15-arc in PG(4,27)), using
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), using
- Reed–Solomon code RS(22,27) [i]
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), 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(2787, 197, F27, 48) (dual of [197, 110, 49]-code) | [i] | Truncation | |
| 2 | Linear OOA(2788, 99, F27, 2, 49) (dual of [(99, 2), 110, 50]-NRT-code) | [i] | OOA Folding | |