Information on Result #721439
Linear OA(1678, 115, F16, 45) (dual of [115, 37, 46]-code), using construction XX applied to C1 = C([74,29]), C2 = C([0,33]), C3 = C1 + C2 = C([0,29]), and C∩ = C1 ∩ C2 = C([74,33]) based on
- linear OA(1660, 85, F16, 41) (dual of [85, 25, 42]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {−11,−10,…,29}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(1652, 85, F16, 34) (dual of [85, 33, 35]-code), using the expurgated narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(1664, 85, F16, 45) (dual of [85, 21, 46]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {−11,−10,…,33}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(1648, 85, F16, 30) (dual of [85, 37, 31]-code), using the expurgated narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(1611, 23, F16, 10) (dual of [23, 12, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(1611, 24, F16, 10) (dual of [24, 13, 11]-code), using
- extended algebraic-geometric code AGe(F,13P) [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(1611, 24, F16, 10) (dual of [24, 13, 11]-code), using
- linear OA(163, 7, F16, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,16) or 7-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.