Information on Result #722111
Linear OA(16115, 289, F16, 59) (dual of [289, 174, 60]-code), using construction XX applied to C1 = C([252,51]), C2 = C([7,55]), C3 = C1 + C2 = C([7,51]), and C∩ = C1 ∩ C2 = C([252,55]) based on
- 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 = {−3,−2,…,51}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(1689, 255, F16, 49) (dual of [255, 166, 50]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {7,8,…,55}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(16102, 255, F16, 59) (dual of [255, 153, 60]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,55}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(1681, 255, F16, 45) (dual of [255, 174, 46]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {7,8,…,51}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(1610, 23, F16, 9) (dual of [23, 13, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(1610, 24, F16, 9) (dual of [24, 14, 10]-code), using
- extended algebraic-geometric code AGe(F,14P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1610, 24, F16, 9) (dual of [24, 14, 10]-code), using
- linear OA(163, 11, F16, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,16) or 11-cap in PG(2,16)), using
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- Reed–Solomon code RS(13,16) [i]
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), 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.