Information on Result #722265
Linear OA(16118, 287, F16, 62) (dual of [287, 169, 63]-code), using construction XX applied to C1 = C([250,50]), C2 = C([1,56]), C3 = C1 + C2 = C([1,50]), and C∩ = C1 ∩ C2 = C([250,56]) based on
- linear OA(1697, 255, F16, 56) (dual of [255, 158, 57]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−5,−4,…,50}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(1697, 255, F16, 56) (dual of [255, 158, 57]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [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 = {−5,−4,…,56}, and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(1686, 255, F16, 50) (dual of [255, 169, 51]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [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]
- linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)) (see above)
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.