Information on Result #729429
Linear OA(4952, 105, F49, 34) (dual of [105, 53, 35]-code), using construction XX applied to C1 = C([9,41]), C2 = C([8,39]), C3 = C1 + C2 = C([9,39]), and C∩ = C1 ∩ C2 = C([8,41]) based on
- linear OA(4949, 100, F49, 33) (dual of [100, 51, 34]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {9,10,…,41}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4949, 100, F49, 32) (dual of [100, 51, 33]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {8,9,…,39}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4951, 100, F49, 34) (dual of [100, 49, 35]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {8,9,…,41}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4947, 100, F49, 31) (dual of [100, 53, 32]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {9,10,…,39}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(491, 3, F49, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, 49, F49, 1) (dual of [49, 48, 2]-code), using
- Reed–Solomon code RS(48,49) [i]
- discarding factors / shortening the dual code based on linear OA(491, 49, F49, 1) (dual of [49, 48, 2]-code), using
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 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.