Information on Result #722013
Linear OA(16102, 275, F16, 55) (dual of [275, 173, 56]-code), using construction XX applied to C1 = C([253,50]), C2 = C([6,52]), C3 = C1 + C2 = C([6,50]), and C∩ = C1 ∩ C2 = C([253,52]) based on
- linear OA(1691, 255, F16, 53) (dual of [255, 164, 54]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−2,−1,…,50}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(1685, 255, F16, 47) (dual of [255, 170, 48]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {6,7,…,52}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(1694, 255, F16, 55) (dual of [255, 161, 56]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−2,−1,…,52}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(1682, 255, F16, 45) (dual of [255, 173, 46]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {6,7,…,50}, and designed minimum distance d ≥ |I|+1 = 46 [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(161, 4, F16, 1) (dual of [4, 3, 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.