Information on Result #722131
Linear OA(16118, 291, F16, 60) (dual of [291, 173, 61]-code), using construction XX applied to C1 = C([251,50]), C2 = C([6,55]), C3 = C1 + C2 = C([6,50]), and C∩ = C1 ∩ C2 = C([251,55]) based on
- linear OA(1695, 255, F16, 55) (dual of [255, 160, 56]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−4,−3,…,50}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(1691, 255, F16, 50) (dual of [255, 164, 51]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {6,7,…,55}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(16104, 255, F16, 60) (dual of [255, 151, 61]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−4,−3,…,55}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(1682, 255, F16, 45) (dual of [255, 173, 46]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {6,7,…,50}, 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(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.