Information on Result #721728
Linear OA(1678, 275, F16, 40) (dual of [275, 197, 41]-code), using construction XX applied to C1 = C([252,34]), C2 = C([4,36]), C3 = C1 + C2 = C([4,34]), and C∩ = C1 ∩ C2 = C([252,36]) based on
- linear OA(1667, 255, F16, 38) (dual of [255, 188, 39]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,34}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(1662, 255, F16, 33) (dual of [255, 193, 34]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {4,5,…,36}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(1671, 255, F16, 40) (dual of [255, 184, 41]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,36}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(1658, 255, F16, 31) (dual of [255, 197, 32]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {4,5,…,34}, and designed minimum distance d ≥ |I|+1 = 32 [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.