Information on Result #725287
Linear OA(2796, 201, F27, 53) (dual of [201, 105, 54]-code), using construction XX applied to C1 = C([175,44]), C2 = C([0,45]), C3 = C1 + C2 = C([0,44]), and C∩ = C1 ∩ C2 = C([175,45]) based on
- linear OA(2788, 182, F27, 52) (dual of [182, 94, 53]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−7,−6,…,44}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(2779, 182, F27, 46) (dual of [182, 103, 47]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,45], and designed minimum distance d ≥ |I|+1 = 47 [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 = {−7,−6,…,45}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(2777, 182, F27, 45) (dual of [182, 105, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(276, 17, F27, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,27)), using
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), using
- Reed–Solomon code RS(21,27) [i]
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), 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.