Information on Result #720429
Linear OA(9115, 759, F9, 40) (dual of [759, 644, 41]-code), using construction XX applied to C1 = C([54,90]), C2 = C([60,93]), C3 = C1 + C2 = C([60,90]), and C∩ = C1 ∩ C2 = C([54,93]) based on
- linear OA(999, 728, F9, 37) (dual of [728, 629, 38]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {54,55,…,90}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(991, 728, F9, 34) (dual of [728, 637, 35]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {60,61,…,93}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(9106, 728, F9, 40) (dual of [728, 622, 41]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {54,55,…,93}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(984, 728, F9, 31) (dual of [728, 644, 32]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {60,61,…,90}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(97, 22, F9, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- 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]
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.