Information on Result #696370
Linear OA(27101, 191, F27, 60) (dual of [191, 90, 61]-code), using construction X applied to Ce(59) ⊂ Ce(56) based on
- linear OA(2799, 183, F27, 60) (dual of [183, 84, 61]-code), using an extension Ce(59) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,59], and designed minimum distance d ≥ |I|+1 = 60 [i]
- 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(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(27101, 95, F27, 2, 60) (dual of [(95, 2), 89, 61]-NRT-code) | [i] | OOA Folding | |