Information on Result #722164
Linear OA(16116, 287, F16, 60) (dual of [287, 171, 61]-code), using construction XX applied to C1 = C([252,50]), C2 = C([5,56]), C3 = C1 + C2 = C([5,50]), and C∩ = C1 ∩ C2 = C([252,56]) based on
- linear OA(1693, 255, F16, 54) (dual of [255, 162, 55]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,50}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(1695, 255, F16, 52) (dual of [255, 160, 53]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {5,6,…,56}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(16104, 255, F16, 60) (dual of [255, 151, 61]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,56}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(1684, 255, F16, 46) (dual of [255, 171, 47]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {5,6,…,50}, and designed minimum distance d ≥ |I|+1 = 47 [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(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]
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.