Information on Result #729398
Linear OA(4922, 105, F49, 14) (dual of [105, 83, 15]-code), using construction XX applied to C1 = C([19,31]), C2 = C([18,29]), C3 = C1 + C2 = C([19,29]), and C∩ = C1 ∩ C2 = C([18,31]) based on
- linear OA(4919, 100, F49, 13) (dual of [100, 81, 14]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {19,20,…,31}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(4919, 100, F49, 12) (dual of [100, 81, 13]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {18,19,…,29}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(4921, 100, F49, 14) (dual of [100, 79, 15]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {18,19,…,31}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(4917, 100, F49, 11) (dual of [100, 83, 12]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {19,20,…,29}, and designed minimum distance d ≥ |I|+1 = 12 [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.