Information on Result #696410
Linear OA(2776, 195, F27, 42) (dual of [195, 119, 43]-code), using construction X applied to Ce(41) ⊂ Ce(36) based on
- linear OA(2772, 183, F27, 42) (dual of [183, 111, 43]-code), using an extension Ce(41) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2764, 183, F27, 37) (dual of [183, 119, 38]-code), using an extension Ce(36) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(274, 12, F27, 4) (dual of [12, 8, 5]-code or 12-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(2776, 97, F27, 2, 42) (dual of [(97, 2), 118, 43]-NRT-code) | [i] | OOA Folding | |