Information on Result #718734
Linear OA(9133, 378, F9, 54) (dual of [378, 245, 55]-code), using construction XX applied to C1 = C([360,48]), C2 = C([0,50]), C3 = C1 + C2 = C([0,48]), and C∩ = C1 ∩ C2 = C([360,50]) based on
- 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(9121, 364, F9, 51) (dual of [364, 243, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(9130, 364, F9, 55) (dual of [364, 234, 56]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {−4,−3,…,50}, and designed minimum distance d ≥ |I|+1 = 56 [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(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using
- extended Reed–Solomon code RSe(8,9) [i]
- Hamming code H(2,9) [i]
- 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.
Other Results with Identical Parameters
None.
Depending Results
None.