Information on Result #725352
Linear OA(27104, 196, F27, 60) (dual of [196, 92, 61]-code), using construction XX applied to C1 = C([5,63]), C2 = C([4,57]), C3 = C1 + C2 = C([5,57]), and C∩ = C1 ∩ C2 = C([4,63]) based on
- linear OA(2797, 182, F27, 59) (dual of [182, 85, 60]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {5,6,…,63}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(2792, 182, F27, 54) (dual of [182, 90, 55]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {4,5,…,57}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(2799, 182, F27, 60) (dual of [182, 83, 61]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {4,5,…,63}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(2790, 182, F27, 53) (dual of [182, 92, 54]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {5,6,…,57}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(275, 12, F27, 5) (dual of [12, 7, 6]-code or 12-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
- 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(27104, 98, F27, 2, 60) (dual of [(98, 2), 92, 61]-NRT-code) | [i] | OOA Folding | |