Information on Result #717940
Linear OA(966, 105, F9, 36) (dual of [105, 39, 37]-code), using construction XX applied to C1 = C([9,41]), C2 = C([6,33]), C3 = C1 + C2 = C([9,33]), and C∩ = C1 ∩ C2 = C([6,41]) based on
- linear OA(950, 80, F9, 33) (dual of [80, 30, 34]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {9,10,…,41}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(947, 80, F9, 28) (dual of [80, 33, 29]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {6,7,…,33}, and designed minimum distance d ≥ |I|+1 = 29 [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(941, 80, F9, 25) (dual of [80, 39, 26]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {9,10,…,33}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(98, 17, F9, 7) (dual of [17, 9, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(98, 18, F9, 7) (dual of [18, 10, 8]-code), using
- 2 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]
- 2 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(98, 18, F9, 7) (dual of [18, 10, 8]-code), using
- linear OA(92, 8, F9, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), 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.