Information on Result #717732
Linear OA(947, 97, F9, 25) (dual of [97, 50, 26]-code), using construction XX applied to C1 = C([79,20]), C2 = C([4,23]), C3 = C1 + C2 = C([4,20]), and C∩ = C1 ∩ C2 = C([79,23]) based on
- linear OA(935, 80, F9, 22) (dual of [80, 45, 23]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−1,0,…,20}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(936, 80, F9, 20) (dual of [80, 44, 21]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {4,5,…,23}, and designed minimum distance d ≥ |I|+1 = 21 [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 = {−1,0,…,23}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(930, 80, F9, 17) (dual of [80, 50, 18]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {4,5,…,20}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
- Reed–Solomon code RS(5,9) [i]
- 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.