Information on Result #718735
Linear OA(9132, 376, F9, 54) (dual of [376, 244, 55]-code), using construction XX applied to C1 = C([362,50]), C2 = C([1,51]), C3 = C1 + C2 = C([1,50]), and C∩ = C1 ∩ C2 = C([362,51]) 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 = {−2,−1,…,50}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(9123, 364, F9, 51) (dual of [364, 241, 52]-code), using the narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(9130, 364, F9, 54) (dual of [364, 234, 55]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {−2,−1,…,51}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(9120, 364, F9, 50) (dual of [364, 244, 51]-code), using the narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- 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]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.