Information on Result #696373
Linear OA(2797, 192, F27, 57) (dual of [192, 95, 58]-code), using construction X applied to Ce(56) ⊂ Ce(51) based on
- linear OA(2793, 183, F27, 57) (dual of [183, 90, 58]-code), using an extension Ce(56) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- 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(274, 9, F27, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,27)), using
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- Reed–Solomon code RS(23,27) [i]
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), 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(2797, 96, F27, 2, 57) (dual of [(96, 2), 95, 58]-NRT-code) | [i] | OOA Folding | |