Information on Result #721504
Linear OA(1682, 103, F16, 56) (dual of [103, 21, 57]-code), using construction XX applied to C1 = C([6,56]), C2 = C([1,50]), C3 = C1 + C2 = C([6,50]), and C∩ = C1 ∩ C2 = C([1,56]) based on
- linear OA(1669, 85, F16, 51) (dual of [85, 16, 52]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {6,7,…,56}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(1668, 85, F16, 50) (dual of [85, 17, 51]-code), using the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(1673, 85, F16, 56) (dual of [85, 12, 57]-code), using the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(1664, 85, F16, 45) (dual of [85, 21, 46]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {6,7,…,50}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(165, 10, F16, 5) (dual of [10, 5, 6]-code or 10-arc in PG(4,16)), using
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- Reed–Solomon code RS(11,16) [i]
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- linear OA(164, 8, F16, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,16)), using
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- Reed–Solomon code RS(12,16) [i]
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), 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.