Information on Result #722397
Linear OA(16128, 277, F16, 72) (dual of [277, 149, 73]-code), using construction XX applied to C1 = C([254,68]), C2 = C([8,70]), C3 = C1 + C2 = C([8,68]), and C∩ = C1 ∩ C2 = C([254,70]) based on
- linear OA(16115, 255, F16, 70) (dual of [255, 140, 71]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−1,0,…,68}, and designed minimum distance d ≥ |I|+1 = 71 [i]
- linear OA(16110, 255, F16, 63) (dual of [255, 145, 64]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {8,9,…,70}, and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(16119, 255, F16, 72) (dual of [255, 136, 73]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−1,0,…,70}, and designed minimum distance d ≥ |I|+1 = 73 [i]
- linear OA(16106, 255, F16, 61) (dual of [255, 149, 62]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {8,9,…,68}, and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(168, 17, F16, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,16)), using
- extended Reed–Solomon code RSe(9,16) [i]
- 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.