Information on Result #717884
Linear OA(967, 105, F9, 36) (dual of [105, 38, 37]-code), using construction XX applied to C1 = C([8,41]), C2 = C([6,31]), C3 = C1 + C2 = C([8,31]), and C∩ = C1 ∩ C2 = C([6,41]) based on
- linear OA(952, 80, F9, 34) (dual of [80, 28, 35]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {8,9,…,41}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(943, 80, F9, 26) (dual of [80, 37, 27]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {6,7,…,31}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(956, 80, F9, 36) (dual of [80, 24, 37]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {6,7,…,41}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(939, 80, F9, 24) (dual of [80, 41, 25]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {8,9,…,31}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- linear OA(91, 5, F9, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.