Information on Result #729414
Linear OA(4940, 105, F49, 26) (dual of [105, 65, 27]-code), using construction XX applied to C1 = C([13,37]), C2 = C([12,35]), C3 = C1 + C2 = C([13,35]), and C∩ = C1 ∩ C2 = C([12,37]) based on
- linear OA(4937, 100, F49, 25) (dual of [100, 63, 26]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {13,14,…,37}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4937, 100, F49, 24) (dual of [100, 63, 25]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {12,13,…,35}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(4939, 100, F49, 26) (dual of [100, 61, 27]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {12,13,…,37}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(4935, 100, F49, 23) (dual of [100, 65, 24]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {13,14,…,35}, and designed minimum distance d ≥ |I|+1 = 24 [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.