Information on Result #722114
Linear OA(16109, 285, F16, 57) (dual of [285, 176, 58]-code), using construction XX applied to C1 = C([0,51]), C2 = C([8,56]), C3 = C1 + C2 = C([8,51]), and C∩ = C1 ∩ C2 = C([0,56]) based on
- linear OA(1688, 255, F16, 52) (dual of [255, 167, 53]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,51], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(1689, 255, F16, 49) (dual of [255, 166, 50]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {8,9,…,56}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(1698, 255, F16, 57) (dual of [255, 157, 58]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,56], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(1679, 255, F16, 44) (dual of [255, 176, 45]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {8,9,…,51}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- linear OA(164, 14, F16, 4) (dual of [14, 10, 5]-code or 14-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.