Information on Result #717908
Linear OA(966, 103, F9, 36) (dual of [103, 37, 37]-code), using construction XX applied to C1 = C([76,29]), C2 = C([5,31]), C3 = C1 + C2 = C([5,29]), and C∩ = C1 ∩ C2 = C([76,31]) based on
- linear OA(953, 80, F9, 34) (dual of [80, 27, 35]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−4,−3,…,29}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(945, 80, F9, 27) (dual of [80, 35, 28]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {5,6,…,31}, and designed minimum distance d ≥ |I|+1 = 28 [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 = {−4,−3,…,31}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(942, 80, F9, 25) (dual of [80, 38, 26]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {5,6,…,29}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- linear OA(91, 4, F9, 1) (dual of [4, 3, 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.