Information on Result #725349
Linear OA(27101, 193, F27, 59) (dual of [193, 92, 60]-code), using construction XX applied to C1 = C([181,56]), C2 = C([4,57]), C3 = C1 + C2 = C([4,56]), and C∩ = C1 ∩ C2 = C([181,57]) based on
- linear OA(2795, 182, F27, 58) (dual of [182, 87, 59]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−1,0,…,56}, and designed minimum distance d ≥ |I|+1 = 59 [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(2797, 182, F27, 59) (dual of [182, 85, 60]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−1,0,…,57}, and designed minimum distance d ≥ |I|+1 = 60 [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 = {4,5,…,56}, and designed minimum distance d ≥ |I|+1 = 54 [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
- 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
None.