Information on Result #725402
Linear OA(27110, 193, F27, 66) (dual of [193, 83, 67]-code), using construction XX applied to C1 = C([181,63]), C2 = C([4,64]), C3 = C1 + C2 = C([4,63]), and C∩ = C1 ∩ C2 = C([181,64]) based on
- linear OA(27104, 182, F27, 65) (dual of [182, 78, 66]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−1,0,…,63}, and designed minimum distance d ≥ |I|+1 = 66 [i]
- linear OA(27101, 182, F27, 61) (dual of [182, 81, 62]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {4,5,…,64}, and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(27106, 182, F27, 66) (dual of [182, 76, 67]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−1,0,…,64}, and designed minimum distance d ≥ |I|+1 = 67 [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(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.