Information on Result #721454
Linear OA(1678, 113, F16, 46) (dual of [113, 35, 47]-code), using construction XX applied to C1 = C([6,45]), C2 = C([0,36]), C3 = C1 + C2 = C([6,36]), and C∩ = C1 ∩ C2 = C([0,45]) based on
- linear OA(1658, 85, F16, 40) (dual of [85, 27, 41]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {6,7,…,45}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(1657, 85, F16, 37) (dual of [85, 28, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(1665, 85, F16, 46) (dual of [85, 20, 47]-code), using the expurgated narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [0,45], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(1650, 85, F16, 31) (dual of [85, 35, 32]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {6,7,…,36}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- Reed–Solomon code RS(8,16) [i]
- linear OA(165, 12, F16, 5) (dual of [12, 7, 6]-code or 12-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
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.