Information on Result #722260
Linear OA(16122, 287, F16, 64) (dual of [287, 165, 65]-code), using construction XX applied to C1 = C([247,52]), C2 = C([0,55]), C3 = C1 + C2 = C([0,52]), and C∩ = C1 ∩ C2 = C([247,55]) based on
- 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,−7,…,52}, and designed minimum distance d ≥ |I|+1 = 62 [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(16112, 255, F16, 64) (dual of [255, 143, 65]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−8,−7,…,55}, and designed minimum distance d ≥ |I|+1 = 65 [i]
- linear OA(1690, 255, F16, 53) (dual of [255, 165, 54]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,52], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(168, 24, F16, 7) (dual of [24, 16, 8]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OA(162, 8, F16, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,16)), using
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- Reed–Solomon code RS(14,16) [i]
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), 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.