Information on Result #718708
Linear OA(9131, 381, F9, 53) (dual of [381, 250, 54]-code), using construction XX applied to C1 = C([360,46]), C2 = C([0,48]), C3 = C1 + C2 = C([0,46]), and C∩ = C1 ∩ C2 = C([360,48]) based on
- linear OA(9121, 364, F9, 51) (dual of [364, 243, 52]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {−4,−3,…,46}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(9118, 364, F9, 49) (dual of [364, 246, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [0,48], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(9127, 364, F9, 53) (dual of [364, 237, 54]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {−4,−3,…,48}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(9112, 364, F9, 47) (dual of [364, 252, 48]-code), using the expurgated narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [0,46], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using
- extended Reed–Solomon code RSe(7,9) [i]
- oval in PG(2, 9) [i]
- linear OA(91, 7, F9, 1) (dual of [7, 6, 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.
Other Results with Identical Parameters
None.
Depending Results
None.