Information on Result #721721
Linear OA(1676, 275, F16, 39) (dual of [275, 199, 40]-code), using construction XX applied to C1 = C([253,34]), C2 = C([5,36]), C3 = C1 + C2 = C([5,34]), and C∩ = C1 ∩ C2 = C([253,36]) based on
- linear OA(1665, 255, F16, 37) (dual of [255, 190, 38]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−2,−1,…,34}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(1660, 255, F16, 32) (dual of [255, 195, 33]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {5,6,…,36}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(1669, 255, F16, 39) (dual of [255, 186, 40]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−2,−1,…,36}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(1656, 255, F16, 30) (dual of [255, 199, 31]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {5,6,…,34}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(166, 15, F16, 6) (dual of [15, 9, 7]-code or 15-arc in PG(5,16)), using
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- Reed–Solomon code RS(10,16) [i]
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- linear OA(161, 5, F16, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), using
- Reed–Solomon code RS(15,16) [i]
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), 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.