Information on Result #725210
Linear OA(2772, 195, F27, 39) (dual of [195, 123, 40]-code), using construction XX applied to C1 = C([180,35]), C2 = C([3,36]), C3 = C1 + C2 = C([3,35]), and C∩ = C1 ∩ C2 = C([180,36]) based on
- linear OA(2766, 182, F27, 38) (dual of [182, 116, 39]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−2,−1,…,35}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2761, 182, F27, 34) (dual of [182, 121, 35]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {3,4,…,36}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2768, 182, F27, 39) (dual of [182, 114, 40]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−2,−1,…,36}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2759, 182, F27, 33) (dual of [182, 123, 34]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {3,4,…,35}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(274, 11, F27, 4) (dual of [11, 7, 5]-code or 11-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
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(2772, 97, F27, 2, 39) (dual of [(97, 2), 122, 40]-NRT-code) | [i] | OOA Folding | |