Information on Result #727245
Linear OA(27105, 747, F27, 52) (dual of [747, 642, 53]-code), using construction XX applied to C1 = C([722,44]), C2 = C([0,45]), C3 = C1 + C2 = C([0,44]), and C∩ = C1 ∩ C2 = C([722,45]) based on
- linear OA(2798, 728, F27, 51) (dual of [728, 630, 52]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−6,−5,…,44}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(2788, 728, F27, 46) (dual of [728, 640, 47]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,45], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(27100, 728, F27, 52) (dual of [728, 628, 53]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−6,−5,…,45}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(2786, 728, F27, 45) (dual of [728, 642, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(275, 17, F27, 5) (dual of [17, 12, 6]-code or 17-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
None.