Information on Result #722248
Linear OA(16117, 285, F16, 62) (dual of [285, 168, 63]-code), using construction XX applied to C1 = C([249,50]), C2 = C([0,55]), C3 = C1 + C2 = C([0,50]), and C∩ = C1 ∩ C2 = C([249,55]) based on
- linear OA(1699, 255, F16, 57) (dual of [255, 156, 58]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−6,−5,…,50}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(1696, 255, F16, 56) (dual of [255, 159, 57]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,55], 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 = {−6,−5,…,55}, and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(1687, 255, F16, 51) (dual of [255, 168, 52]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(165, 17, F16, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,16)), using
- extended Reed–Solomon code RSe(12,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(164, 13, F16, 4) (dual of [13, 9, 5]-code or 13-arc in PG(3,16)), using
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- Reed–Solomon code RS(12,16) [i]
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), 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.