Information on Result #722380
Linear OA(16127, 279, F16, 71) (dual of [279, 152, 72]-code), using construction XX applied to C1 = C([0,67]), C2 = C([9,70]), C3 = C1 + C2 = C([9,67]), and C∩ = C1 ∩ C2 = C([0,70]) based on
- linear OA(16112, 255, F16, 68) (dual of [255, 143, 69]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,67], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(16108, 255, F16, 62) (dual of [255, 147, 63]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {9,10,…,70}, and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(16117, 255, F16, 71) (dual of [255, 138, 72]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,70], and designed minimum distance d ≥ |I|+1 = 72 [i]
- linear OA(16103, 255, F16, 59) (dual of [255, 152, 60]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {9,10,…,67}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(168, 17, F16, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,16)), using
- extended Reed–Solomon code RSe(9,16) [i]
- linear OA(162, 7, F16, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,16)), using
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- Reed–Solomon code RS(14,16) [i]
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), 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.